Time bar (total: 5.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 74.9% | 25.1% | 5 |
| 0% | 74.9% | 25.1% | 6 |
| 0% | 74.9% | 25.1% | 7 |
| 6.2% | 56.2% | 37.6% | 8 |
| 7.8% | 53% | 39.2% | 9 |
| 9.4% | 47.2% | 43.4% | 10 |
| 15.2% | 34.5% | 50.3% | 11 |
| 17.6% | 31.1% | 51.3% | 12 |
| 19.6% | 26.7% | 53.7% | 13 |
| 23.5% | 19% | 57.5% | 14 |
Compiled 28 to 21 computations (25% saved)
| 1.4s | 8256× | body | 128 | valid |
| 354.0ms | 2059× | body | 128 | invalid |
| 2× | egg-herbie |
| 864× | fma-def_binary64 |
| 536× | fma-neg_binary64 |
| 395× | +-commutative_binary64 |
| 348× | associate--l+_binary64 |
| 243× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 128 |
| 1 | 118 | 128 |
| 2 | 307 | 124 |
| 3 | 1011 | 120 |
| 4 | 2378 | 120 |
| 5 | 4733 | 120 |
| 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 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))) |
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 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 (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 (-.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 (-.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) 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 (*.f64 (+.f64 z -1/2) (log.f64 z)) z) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z))) |
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (neg.f64 z)) (+.f64 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 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 91893853320467/100000000000000 z)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 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)) |
(+.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 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.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 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
Compiled 27 to 20 computations (25.9% saved)
| 1× | egg-herbie |
| 692× | fma-def_binary64 |
| 568× | fma-neg_binary64 |
| 319× | sub-neg_binary64 |
| 295× | cancel-sign-sub-inv_binary64 |
| 235× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 32 |
| 1 | 43 | 32 |
| 2 | 100 | 31 |
| 3 | 294 | 30 |
| 4 | 666 | 30 |
| 5 | 1496 | 30 |
| 6 | 2874 | 30 |
| 7 | 4967 | 30 |
| 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 (-.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 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 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 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
Compiled 48 to 33 computations (31.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 6.3b | (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) | |
| ▶ | 6.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
Compiled 102 to 74 computations (27.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
| ✓ | 0.1b | (fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
| ✓ | 0.2b | (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
| ✓ | 5.9b | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
| 3.0ms | x | @ | -inf | (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
| 2.0ms | x | @ | inf | (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
| 1.0ms | y | @ | -inf | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
| 1× | batch-egg-rewrite |
| 272× | prod-diff_binary64 |
| 193× | add-sqr-sqrt_binary64 |
| 183× | add-exp-log_binary64 |
| 183× | add-log-exp_binary64 |
| 182× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 50 |
| 1 | 380 | 50 |
| 2 | 4816 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) |
(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) |
(fma.f64 (log.f64 x) (-.f64 1/2 x) x) |
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
| 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 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (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 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 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 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) 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y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(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 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 expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) |
| 1× | egg-herbie |
| 869× | fma-def_binary64 |
| 234× | distribute-rgt-in_binary64 |
| 210× | associate-+l+_binary64 |
| 191× | distribute-lft-in_binary64 |
| 184× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1528 |
| 1 | 257 | 1349 |
| 2 | 632 | 1277 |
| 3 | 1690 | 1194 |
| 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 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x))) (*.f64 1/2 (log.f64 x))) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x))) (*.f64 1/2 (log.f64 x))) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x))) (*.f64 1/2 (log.f64 x))) |
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) |
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (-.f64 1 (+.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 91893853320467/100000000000000 (*.f64 -1 (*.f64 (-.f64 1 (+.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 91893853320467/100000000000000 (*.f64 -1 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 1/2 (log.f64 x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x))) |
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))) |
83333333333333/1000000000000000 |
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) |
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))) |
(+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) |
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(*.f64 y (pow.f64 z 2)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(*.f64 y (pow.f64 z 2)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.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))) |
| Outputs |
|---|
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z)))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (/.f64 z (/.f64 x -13888888888889/5000000000000000)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.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 z (/.f64 x -13888888888889/5000000000000000)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))) |
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 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)) |
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(*.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) |
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(+.f64 83333333333333/1000000000000000 (fma.f64 (*.f64 z z) (+.f64 y 7936500793651/10000000000000000) (*.f64 -13888888888889/5000000000000000 z))) |
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (fma.f64 (*.f64 z z) (+.f64 y 7936500793651/10000000000000000) (*.f64 -13888888888889/5000000000000000 z))) |
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
(*.f64 y (pow.f64 z 2)) |
(*.f64 y (*.f64 z z)) |
(*.f64 z (*.f64 z y)) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (fma.f64 (*.f64 z z) (+.f64 y 7936500793651/10000000000000000) (*.f64 -13888888888889/5000000000000000 z))) |
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (fma.f64 (*.f64 z z) (+.f64 y 7936500793651/10000000000000000) (*.f64 -13888888888889/5000000000000000 z))) |
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))) |
(+.f64 83333333333333/1000000000000000 (fma.f64 (*.f64 z z) (+.f64 y 7936500793651/10000000000000000) (*.f64 -13888888888889/5000000000000000 z))) |
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) |
Compiled 4213 to 2778 computations (34.1% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 12 | 158 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 148 | 12 | 160 |
| Status | Error | Program |
|---|---|---|
| 10.5b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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))) | |
| ▶ | 0.6b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
| 6.4b | (+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 6.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)) | |
| 6.7b | (+.f64 (-.f64 91893853320467/100000000000000 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 10.6b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) | |
| 6.7b | (+.f64 (-.f64 91893853320467/100000000000000 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 22.2b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (+.f64 (/.f64 -13888888888889/5000000000000000 x) (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))) | |
| 6.7b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))) | |
| 6.3b | (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 23.9b | (+.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 21.9b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) |
Compiled 748 to 528 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) | |
| ✓ | 0.2b | (*.f64 (/.f64 z x) z) |
| ✓ | 0.3b | (/.f64 83333333333333/1000000000000000 x) |
| ✓ | 1.3b | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
| 1.0ms | x | @ | -inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
| 1.0ms | x | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
| 1.0ms | x | @ | inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
| 1.0ms | z | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
| 1× | batch-egg-rewrite |
| 559× | log-prod_binary64 |
| 219× | expm1-udef_binary64 |
| 219× | log1p-udef_binary64 |
| 215× | prod-diff_binary64 |
| 177× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 243 | 28 |
| 2 | 3127 | 28 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 83333333333333/1000000000000000 x) |
(*.f64 (/.f64 z x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x)) 1) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 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83333333333333/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (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 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(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 (*.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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 z x)))))))) |
| 1× | egg-herbie |
| 502× | fma-neg_binary64 |
| 410× | cancel-sign-sub-inv_binary64 |
| 355× | associate-/l*_binary64 |
| 225× | associate-/r/_binary64 |
| 216× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 1078 |
| 1 | 83 | 1018 |
| 2 | 221 | 838 |
| 3 | 607 | 652 |
| 4 | 2045 | 652 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) 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 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) 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 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 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 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 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 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 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 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (pow.f64 z 2) x) |
| Outputs |
|---|
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 83333333333333/1000000000000000 x)) |
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (/.f64 1 x) (fma.f64 7936500793651/10000000000000000 (*.f64 z z) 83333333333333/1000000000000000)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 (*.f64 z z) y) x) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 z (*.f64 z (/.f64 y x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 (*.f64 z z) y) x) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 z (*.f64 z (/.f64 y x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
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(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
(/.f64 (pow.f64 z 2) x) |
(/.f64 (*.f64 z z) x) |
(/.f64 z (/.f64 x z)) |
(*.f64 z (/.f64 z x)) |
Compiled 4376 to 2407 computations (45% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 8 | 134 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 11 | 146 |
| Status | Error | Program |
|---|---|---|
| 23.9b | (+.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) | |
| 1.0b | (+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) | |
| 0.7b | (+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) | |
| 22.2b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (+.f64 (/.f64 -13888888888889/5000000000000000 x) (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))) | |
| 10.5b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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))) | |
| 0.6b | (+.f64 (-.f64 (-.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (-.f64 1/2 x))) x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) | |
| 0.8b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x))))) | |
| 4.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (pow.f64 z 2) x) (/.f64 83333333333333/1000000000000000 x)))) | |
| ▶ | 0.5b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
| 0.6b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) | |
| 1.0b | (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
Compiled 778 to 524 computations (32.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) | |
| 0.2b | (*.f64 (/.f64 z x) z) | |
| ✓ | 0.3b | (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
| ✓ | 1.3b | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
| 4.0ms | z | @ | inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
| 1.0ms | x | @ | inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
| 1.0ms | y | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
| 1.0ms | x | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
| 1× | batch-egg-rewrite |
| 246× | expm1-udef_binary64 |
| 246× | log1p-udef_binary64 |
| 218× | prod-diff_binary64 |
| 142× | add-sqr-sqrt_binary64 |
| 134× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 27 |
| 1 | 284 | 21 |
| 2 | 3544 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) |
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 1) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 3) (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3)) (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (-.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (neg.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))) (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 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 (pow.f64 (cbrt.f64 (*.f64 1000000000000000000000000000000/6944444444444388888888888889 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 1000000000000000/83333333333333))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 1000000000000000/83333333333333)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (*.f64 1000000000000000000000000000000/6944444444444388888888888889 (*.f64 x x)))) (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))))))) |
| 1× | egg-herbie |
| 502× | fma-neg_binary64 |
| 410× | cancel-sign-sub-inv_binary64 |
| 355× | associate-/l*_binary64 |
| 225× | associate-/r/_binary64 |
| 216× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 958 |
| 1 | 83 | 898 |
| 2 | 221 | 718 |
| 3 | 607 | 532 |
| 4 | 2045 | 532 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) 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 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) 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 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 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 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 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 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 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 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 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 83333333333333/1000000000000000 x) |
| Outputs |
|---|
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) |
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 83333333333333/1000000000000000 x)) |
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (/.f64 83333333333333/1000000000000000 x)) |
(*.f64 (/.f64 1 x) (fma.f64 7936500793651/10000000000000000 (*.f64 z z) 83333333333333/1000000000000000)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 (*.f64 z z) y) x) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 z (*.f64 z (/.f64 y x))) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(/.f64 (*.f64 (*.f64 z z) y) x) |
(*.f64 (/.f64 y x) (*.f64 z z)) |
(*.f64 z (*.f64 z (/.f64 y x))) |
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 83333333333333/1000000000000000 x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
(/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z)) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
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(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) |
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)) |
(/.f64 z (/.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)) z)) |
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(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
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(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (*.f64 z z) y) x)) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x))) |
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 (/.f64 y x) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 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 83333333333333/1000000000000000 x) |
Compiled 4256 to 2372 computations (44.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 8 | 127 |
| Fresh | 7 | 3 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 127 | 11 | 138 |
| Status | Error | Program |
|---|---|---|
| 4.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 0.8b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x))))) | |
| 1.0b | (+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 22.2b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (+.f64 (/.f64 -13888888888889/5000000000000000 x) (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))) | |
| 1.0b | (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 0.7b | (+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| ▶ | 0.6b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) |
| 10.5b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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))) | |
| 23.4b | (+.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 6.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x))) | |
| 0.6b | (+.f64 (-.f64 (-.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (-.f64 1/2 x))) x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
Compiled 814 to 554 computations (31.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (/.f64 z x) z) | |
| 0.3b | (/.f64 83333333333333/1000000000000000 x) | |
| ✓ | 0.4b | (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333))) |
| ✓ | 1.3b | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | x | @ | -inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
| 1.0ms | y | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
| 1.0ms | x | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
| 1.0ms | x | @ | inf | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
| 1.0ms | z | @ | 0 | (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
| 1× | batch-egg-rewrite |
| 472× | prod-diff_binary64 |
| 174× | add-sqr-sqrt_binary64 |
| 165× | pow1_binary64 |
| 164× | *-un-lft-identity_binary64 |
| 162× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 353 | 21 |
| 2 | 4667 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))) |
(/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 1) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(*.f64 x 1000000000000000/83333333333333) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (*.f64 x 1000000000000000/83333333333333) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (*.f64 x 1000000000000000/83333333333333) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 cbrt.f64 (/.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3/2) (pow.f64 (*.f64 x 1000000000000000/83333333333333) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))))))) |
| 1× | egg-herbie |
| 894× | fma-neg_binary64 |
| 307× | cancel-sign-sub-inv_binary64 |
| 224× | div-sub_binary64 |
| 218× | associate-/l*_binary64 |
| 213× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 1042 |
| 1 | 79 | 1022 |
| 2 | 199 | 914 |
| 3 | 520 | 874 |
| 4 | 1707 | 874 |
| 5 | 4215 | 874 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(/.f64 (*.f64 y (pow.f64 z 2)) x) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
| Outputs |
|---|
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x))) |
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
(fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
(fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)))) |
(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (*.f64 (/.f64 y x) (*.f64 z z))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
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(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (*.f64 (/.f64 y x) (*.f64 z z))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (*.f64 (/.f64 y x) (*.f64 z z))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))) |
(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (/.f64 y (/.f64 x (*.f64 z z)))) |
(+.f64 (fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) (*.f64 (/.f64 y x) (*.f64 z z))) |
(fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333)))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (*.f64 z (/.f64 z x)) (+.f64 7936500793651/10000000000000000 y))) |
(+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333)) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) x) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 1) x)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))))) x) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 -7936500793651/10000000000000000 (neg.f64 y)) 1)) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -1) x) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 1) x)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))))) x) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 -7936500793651/10000000000000000 (neg.f64 y)) 1)) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -1) x) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 1) x)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))))) x) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 -7936500793651/10000000000000000 (neg.f64 y)) 1)) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -1) x) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) 1) x)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 1) x)) |
(/.f64 (neg.f64 (-.f64 1 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))))) x) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 -7936500793651/10000000000000000 (neg.f64 y)) 1)) x) |
(/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -1) x) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 (sqrt.f64 1000000000000000/83333333333333) x)) |
(/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
(/.f64 -1 x) |
Compiled 4596 to 2601 computations (43.4% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 3 | 133 |
| Fresh | 3 | 7 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 133 | 11 | 144 |
| Status | Error | Program |
|---|---|---|
| 23.4b | (+.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 0.7b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (*.f64 (/.f64 1 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 1/4)) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (*.f64 x 1000000000000000/83333333333333) 1/4)))))) | |
| 1.0b | (+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 22.2b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (+.f64 (/.f64 -13888888888889/5000000000000000 x) (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))) | |
| 1.0b | (+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 0.7b | (+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| ✓ | 0.6b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) |
| 0.8b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x))))) | |
| 4.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))) | |
| 0.6b | (+.f64 (-.f64 (-.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (-.f64 1/2 x))) x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) | |
| 6.3b | (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x))) |
Compiled 420 to 286 computations (31.9% saved)
Total -48.2b remaining (-8815.9%)
Threshold costs -48.2b (-8815.9%)
| Inputs |
|---|
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (*.f64 (/.f64 1 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 1/4)) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (*.f64 x 1000000000000000/83333333333333) 1/4)))))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (+.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (*.f64 x (sqrt.f64 1000000000000000/83333333333333))) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 1000000000000000/83333333333333))) x))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) |
(+.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))) x))) |
(+.f64 (-.f64 (-.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (-.f64 1/2 x))) x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (-.f64 (-.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (-.f64 1/2 x))) x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 z x))))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (pow.f64 z 2) x) (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) |
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))) |
(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)) |
(+.f64 (-.f64 91893853320467/100000000000000 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2) (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)) |
(+.f64 (-.f64 91893853320467/100000000000000 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (+.f64 (/.f64 -13888888888889/5000000000000000 x) (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (*.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) |
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) |
| Outputs |
|---|
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
| Time | Error | Segments | Branch |
| 18.0ms | 0.5b | 1 | x |
| 17.0ms | 0.5b | 1 | y |
| 16.0ms | 0.5b | 1 | z |
| 17.0ms | 0.5b | 1 | (+.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)) |
| 7.0ms | 0.5b | 1 | (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) |
| 16.0ms | 0.5b | 1 | (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) |
| 9.0ms | 0.5b | 1 | (+.f64 y 7936500793651/10000000000000000) |
Compiled 1091 to 659 computations (39.6% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 42 |
| 1 | 30 | 42 |
| 2 | 37 | 42 |
| 3 | 41 | 42 |
| 4 | 43 | 42 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
| Outputs |
|---|
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) |
| 1× | fuel |
Compiled 64 to 42 computations (34.4% saved)
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