Time bar (total: 7.9s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 43.7% | 56.2% | 0.1% | 6 |
| 43.7% | 46.8% | 9.5% | 7 |
| 46.8% | 42.1% | 11% | 8 |
| 46.8% | 36.7% | 16.5% | 9 |
| 48.4% | 34% | 17.7% | 10 |
| 48.4% | 31% | 20.6% | 11 |
| 49.2% | 29.6% | 21.3% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.4s | 6940× | body | 256 | valid |
| 945.0ms | 2048× | body | 1024 | invalid |
| 430.0ms | 1575× | body | 256 | invalid |
| 374.0ms | 638× | body | 1024 | valid |
| 292.0ms | 678× | body | 512 | valid |
| 264.0ms | 965× | body | 512 | invalid |
| 2× | egg-herbie |
| 948× | fma-def_binary64 |
| 666× | div-sub_binary64 |
| 520× | associate-/r*_binary64 |
| 512× | associate-*l/_binary64 |
| 388× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 28 | 22 |
| 2 | 67 | 22 |
| 3 | 148 | 22 |
| 4 | 346 | 22 |
| 5 | 925 | 22 |
| 6 | 2908 | 22 |
| 7 | 7645 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
(/.f64 (sin.f64 y) (/.f64 y (sinh.f64 x))) |
(*.f64 (/.f64 (sinh.f64 x) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 835× | fma-neg_binary64 |
| 544× | times-frac_binary64 |
| 474× | fma-def_binary64 |
| 457× | associate-/l*_binary64 |
| 344× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 16 | 11 |
| 2 | 37 | 11 |
| 3 | 79 | 11 |
| 4 | 178 | 11 |
| 5 | 472 | 11 |
| 6 | 1476 | 11 |
| 7 | 5770 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 16 to 8 computations (50% 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 |
|---|---|---|
| ▶ | 0.1b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
| ▶ | 16.6b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 18 to 12 computations (33.3% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 16.6b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) | |
| 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | 16.6b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 20 to 6 computations (70% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 3.0ms | y | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | y | @ | inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 1× | batch-egg-rewrite |
| 864× | pow1_binary64 |
| 802× | add-log-exp_binary64 |
| 801× | log1p-expm1-u_binary64 |
| 801× | expm1-log1p-u_binary64 |
| 784× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 1 | 149 | 22 |
| 2 | 2081 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sinh.f64 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y))))))) |
| 1× | egg-herbie |
| 589× | associate-+l+_binary64 |
| 546× | fma-def_binary64 |
| 473× | associate-/l*_binary64 |
| 413× | times-frac_binary64 |
| 287× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 1346 |
| 1 | 262 | 1322 |
| 2 | 791 | 1190 |
| 3 | 3211 | 1138 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 y (sin.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 -1/12 x) x))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 (pow.f64 x 4) (fma.f64 (exp.f64 y) 1/240 (/.f64 -1/240 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 -1/12 x) x)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 (*.f64 -1/12 x) x)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/10080 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 -1/12 x) x)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/10080 (pow.f64 x 4)) -1/12)) (+.f64 (*.f64 1/240 (pow.f64 x 4)) 1/2))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (/.f64 1/120 (/.f64 x (pow.f64 y 5)))))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (/.f64 1/120 (/.f64 x (pow.f64 y 5))))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 x 1/2)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/2 x)) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (pow.f64 x 3) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/2 x))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))) |
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5)) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))) |
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 5) 1/240)))) |
(fma.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/12 (pow.f64 x 3))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))) |
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 7)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5)) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))))) |
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 7)) (fma.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 5) 1/240))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 -1/10080 (pow.f64 x 7))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 -1/10080 (pow.f64 x 7))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 3)) (*.f64 y (sin.f64 x))) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 5)) (*.f64 y (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 3)) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 5) y))) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 5)) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 7)) (*.f64 y (sin.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) y)))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) |
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) | |
| 0.0b | (sinh.f64 y) | |
| 0.0b | (/.f64 (sinh.f64 y) x) | |
| ✓ | 0.0b | (/.f64 (sinh.f64 y) x) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) x) |
| 1.0ms | y | @ | inf | (/.f64 (sinh.f64 y) x) |
| 1.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) x) |
| 1.0ms | x | @ | -inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | x | @ | 0 | (/.f64 (sinh.f64 y) x) |
| 1× | batch-egg-rewrite |
| 835× | pow1_binary64 |
| 773× | add-log-exp_binary64 |
| 772× | log1p-expm1-u_binary64 |
| 772× | expm1-log1p-u_binary64 |
| 755× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 149 | 17 |
| 2 | 2027 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (sinh.f64 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))))))) |
| 1× | egg-herbie |
| 976× | fma-def_binary64 |
| 448× | associate-/l*_binary64 |
| 418× | times-frac_binary64 |
| 315× | *-commutative_binary64 |
| 311× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1030 |
| 1 | 196 | 1028 |
| 2 | 536 | 948 |
| 3 | 1883 | 901 |
| 4 | 6928 | 901 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (*.f64 x x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x x) 1/2)) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 (*.f64 x x) (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/240 (pow.f64 x 4)) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (fma.f64 -1/12 (*.f64 x x) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/10080 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (fma.f64 1/240 (pow.f64 x 4) (*.f64 -1/10080 (pow.f64 x 6))) (fma.f64 -1/12 (*.f64 x x) 1/2))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) (sin.f64 x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) (sin.f64 x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) (sin.f64 x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) (sin.f64 x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
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(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(/.f64 1/2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x) |
Compiled 3203 to 1457 computations (54.5% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 8 | 227 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 221 | 8 | 229 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 18.5b | (/.f64 (*.f64 y (sin.f64 x)) x) | |
| ▶ | 43.5b | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| ▶ | 25.7b | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| 1.0b | (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)) | |
| 0.2b | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) | |
| ▶ | 0.9b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ▶ | 2.0b | (*.f64 (sin.f64 x) (/.f64 y x)) |
Compiled 170 to 118 computations (30.6% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 x) x) | |
| 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) | |
| 0.0b | (sinh.f64 y) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 843× | pow1_binary64 |
| 781× | add-log-exp_binary64 |
| 780× | log1p-expm1-u_binary64 |
| 780× | expm1-log1p-u_binary64 |
| 763× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 149 | 17 |
| 2 | 2040 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 455× | distribute-rgt-in_binary64 |
| 369× | associate-/l*_binary64 |
| 368× | distribute-lft-out_binary64 |
| 340× | *-commutative_binary64 |
| 336× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 680 |
| 1 | 187 | 678 |
| 2 | 519 | 620 |
| 3 | 1888 | 589 |
| 4 | 6007 | 581 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 -1/6 (*.f64 x x))))) |
(+.f64 (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 -1/6 (*.f64 x x))) (fma.f64 1/120 (pow.f64 x 4) 1)) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 x (*.f64 x -1/12)) 1/2)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 x (*.f64 x -1/12)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 (*.f64 x x) (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/12)) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 x (*.f64 x -1/12)) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/10080) (*.f64 (pow.f64 x 4) 1/240)) (+.f64 1/2 (*.f64 x (*.f64 x -1/12))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 x (*.f64 x -1/12)) (+.f64 (*.f64 (pow.f64 x 6) -1/10080) (+.f64 1/2 (*.f64 (pow.f64 x 4) 1/240))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 1/6 (/.f64 x (pow.f64 y 3))) (/.f64 y x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (+.f64 (/.f64 1/6 (/.f64 x (pow.f64 y 3))) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 1/6 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) x)) (/.f64 y x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/5040 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 y 7) (/.f64 x 1/5040)) (/.f64 y x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) x)) (/.f64 1/6 (/.f64 x (pow.f64 y 3)))))) |
(*.f64 (sin.f64 x) (+.f64 (+.f64 (/.f64 y x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))) (+.f64 (/.f64 1/6 (/.f64 x (pow.f64 y 3))) (/.f64 (pow.f64 y 7) (/.f64 x 1/5040))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (sin.f64 x) (/.f64 y x)) | |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (/.f64 y x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (sin.f64 x) (/.f64 y x)) |
| 1.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (/.f64 y x)) |
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 x) (/.f64 y x)) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 689× | pow1_binary64 |
| 636× | add-log-exp_binary64 |
| 636× | log1p-expm1-u_binary64 |
| 636× | expm1-log1p-u_binary64 |
| 621× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 9 |
| 2 | 1682 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 695× | associate-/l/_binary64 |
| 434× | *-commutative_binary64 |
| 399× | distribute-rgt-out_binary64 |
| 395× | times-frac_binary64 |
| 382× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 250 |
| 1 | 59 | 244 |
| 2 | 152 | 244 |
| 3 | 493 | 238 |
| 4 | 1964 | 237 |
| 5 | 4090 | 237 |
| 6 | 4716 | 237 |
| 7 | 7252 | 237 |
| 8 | 7782 | 237 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y)) |
(*.f64 y (+.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))) (fma.f64 -1/6 (*.f64 x x) 1))) |
(*.f64 y (+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) | |
| 0.0b | (sinh.f64 y) | |
| 0.0b | (/.f64 x (sinh.f64 y)) | |
| ✓ | 0.0b | (/.f64 x (sinh.f64 y)) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.9b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 x (sinh.f64 y)) |
| 1.0ms | y | @ | 0 | (/.f64 x (sinh.f64 y)) |
| 1.0ms | x | @ | 0 | (/.f64 x (sinh.f64 y)) |
| 1.0ms | x | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 934× | pow1_binary64 |
| 869× | add-log-exp_binary64 |
| 868× | log1p-expm1-u_binary64 |
| 868× | expm1-log1p-u_binary64 |
| 849× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 155 | 17 |
| 2 | 2270 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 x (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x (sinh.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 685× | fma-neg_binary64 |
| 409× | fma-def_binary64 |
| 399× | distribute-rgt-in_binary64 |
| 372× | distribute-lft-in_binary64 |
| 369× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 1035 |
| 1 | 254 | 1029 |
| 2 | 843 | 965 |
| 3 | 3679 | 928 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (/.f64 x y))) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 (*.f64 x x) (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 1/240 (pow.f64 x 4))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/2) (*.f64 1/240 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) (*.f64 -1/10080 (pow.f64 x 6)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 1/240 (pow.f64 x 4))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 (*.f64 -1/10080 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) (*.f64 (sin.f64 x) (+.f64 (/.f64 (*.f64 1/6 (pow.f64 y 3)) x) (/.f64 (*.f64 1/5040 (pow.f64 y 7)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 x (sin.f64 x))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/6 (*.f64 y x) (/.f64 x y)) |
(fma.f64 y (*.f64 x -1/6) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (/.f64 x y))) |
(fma.f64 -1/6 (*.f64 y x) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 x -7/360)) (/.f64 x y))) |
(fma.f64 -1/6 (*.f64 y x) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -7/360 (pow.f64 y 3))))) |
(fma.f64 y (*.f64 x -1/6) (fma.f64 (pow.f64 y 3) (*.f64 x 7/360) (/.f64 x y))) |
(+.f64 (/.f64 x y) (*.f64 x (fma.f64 y -1/6 (*.f64 (pow.f64 y 3) 7/360)))) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y)))) |
(fma.f64 -1/6 (*.f64 y x) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 x -7/360)) (fma.f64 -1 (*.f64 (pow.f64 y 5) (fma.f64 -1/720 x (fma.f64 -1/6 (*.f64 x -7/360) (*.f64 x 1/5040)))) (/.f64 x y)))) |
(fma.f64 -1/6 (*.f64 y x) (-.f64 (-.f64 (/.f64 x y) (*.f64 (pow.f64 y 5) (fma.f64 x -1/720 (fma.f64 x 1/5040 (*.f64 x 7/2160))))) (*.f64 x (*.f64 -7/360 (pow.f64 y 3))))) |
(-.f64 (fma.f64 y (*.f64 x -1/6) (fma.f64 (pow.f64 y 3) (*.f64 x 7/360) (/.f64 x y))) (*.f64 (pow.f64 y 5) (fma.f64 x 1/5040 (*.f64 x 1/540)))) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 x (fma.f64 y -1/6 (*.f64 (pow.f64 y 3) 7/360))) (*.f64 (pow.f64 y 5) (*.f64 x 31/15120)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 x 2) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.6b | (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) | |
| 0.0b | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) | |
| 0.0b | (/.f64 1 (exp.f64 y)) | |
| 0.0b | (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) | |
| ✓ | 0.0b | (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) |
| ✓ | 0.0b | (/.f64 1 (exp.f64 y)) |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| ✓ | 5.6b | (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) |
Compiled 55 to 28 computations (49.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| 1.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| 1.0ms | y | @ | 0 | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
| 1× | batch-egg-rewrite |
| 660× | log-prod_binary64 |
| 528× | prod-diff_binary64 |
| 334× | pow2_binary64 |
| 233× | pow1/3_binary64 |
| 229× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 1 | 260 | 37 |
| 2 | 3573 | 37 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(/.f64 1 (exp.f64 y)) |
(/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) |
| Outputs |
|---|
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(sinh.f64 y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 2 (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 2 (sinh.f64 y)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (*.f64 2 (sinh.f64 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (sinh.f64 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 y) (/.f64 1 x) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (exp.f64 y) x) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 y) x)) 2) (cbrt.f64 (/.f64 (exp.f64 y) x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (exp.f64 y) x)) (sqrt.f64 (/.f64 (exp.f64 y) x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 y)) x) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (exp.f64 y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (exp.f64 y)) (sqrt.f64 x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (sinh.f64 y)) x))))))) |
| 1× | egg-herbie |
| 560× | associate-/l*_binary64 |
| 558× | times-frac_binary64 |
| 403× | *-commutative_binary64 |
| 371× | associate-+l+_binary64 |
| 352× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 814 |
| 1 | 251 | 812 |
| 2 | 692 | 752 |
| 3 | 2482 | 721 |
| 4 | 7829 | 720 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (*.f64 2 y)) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/60 (pow.f64 y 5)) (*.f64 2 y))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/60 (pow.f64 y 5)) (+.f64 (*.f64 2 y) (*.f64 1/2520 (pow.f64 y 7))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 y)))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 2 (/.f64 y x)) (*.f64 1/3 (/.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) x)) (*.f64 1/60 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 y 7) x)) (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) x)) (*.f64 1/60 (/.f64 (pow.f64 y 5) x))))) |
| Outputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (*.f64 2 y)) |
(fma.f64 1/3 (pow.f64 y 3) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 1/3 (pow.f64 y 3))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/60 (pow.f64 y 5)) (*.f64 2 y))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/60 (pow.f64 y 5) (*.f64 2 y))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 2 y (*.f64 1/60 (pow.f64 y 5)))) |
(fma.f64 2 y (fma.f64 1/3 (pow.f64 y 3) (*.f64 1/60 (pow.f64 y 5)))) |
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 (*.f64 1/60 (pow.f64 y 5)) (+.f64 (*.f64 2 y) (*.f64 1/2520 (pow.f64 y 7))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/60 (pow.f64 y 5) (fma.f64 2 y (*.f64 1/2520 (pow.f64 y 7))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 2 y (fma.f64 1/60 (pow.f64 y 5) (*.f64 1/2520 (pow.f64 y 7))))) |
(fma.f64 1/3 (pow.f64 y 3) (fma.f64 1/60 (pow.f64 y 5) (fma.f64 1/2520 (pow.f64 y 7) (*.f64 2 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/2)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 (pow.f64 x 4) (fma.f64 (exp.f64 y) 1/240 (/.f64 -1/240 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 -1/12 (*.f64 x x))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 1/120 (*.f64 (pow.f64 y 5) (/.f64 (sin.f64 x) x)) (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 y 5) (/.f64 x 1/120)) (/.f64 y x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (/.f64 (pow.f64 y 7) (/.f64 x 1/5040))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (neg.f64 y)) |
(-.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 y))) |
(+.f64 1 (fma.f64 1/2 (*.f64 y y) (neg.f64 y))) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y 1/2)) y)) |
(fma.f64 y (*.f64 y 1/2) (-.f64 1 y)) |
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 y)))) |
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 1 (fma.f64 1/2 (*.f64 y y) (neg.f64 y)))) |
(+.f64 (-.f64 (*.f64 y (*.f64 y 1/2)) y) (fma.f64 (pow.f64 y 3) -1/6 1)) |
(fma.f64 (pow.f64 y 3) -1/6 (fma.f64 y (*.f64 y 1/2) (-.f64 1 y))) |
(fma.f64 (*.f64 y y) (+.f64 1/2 (*.f64 y -1/6)) (-.f64 1 y)) |
(*.f64 2 (/.f64 y x)) |
(/.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 (/.f64 y x)) (*.f64 1/3 (/.f64 (pow.f64 y 3) x))) |
(fma.f64 2 (/.f64 y x) (*.f64 1/3 (/.f64 (pow.f64 y 3) x))) |
(fma.f64 2 (/.f64 y x) (/.f64 (pow.f64 y 3) (/.f64 x 1/3))) |
(fma.f64 2 (/.f64 y x) (*.f64 (/.f64 1/3 x) (pow.f64 y 3))) |
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) x)) (*.f64 1/60 (/.f64 (pow.f64 y 5) x)))) |
(fma.f64 2 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) x) (*.f64 1/60 (/.f64 (pow.f64 y 5) x)))) |
(fma.f64 2 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) x) (*.f64 (/.f64 1/60 x) (pow.f64 y 5)))) |
(fma.f64 2 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) x) (*.f64 (pow.f64 y 5) (/.f64 1/60 x)))) |
(+.f64 (*.f64 1/2520 (/.f64 (pow.f64 y 7) x)) (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) x)) (*.f64 1/60 (/.f64 (pow.f64 y 5) x))))) |
(fma.f64 1/2520 (/.f64 (pow.f64 y 7) x) (fma.f64 2 (/.f64 y x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) x) (*.f64 1/60 (/.f64 (pow.f64 y 5) x))))) |
(fma.f64 2 (/.f64 y x) (fma.f64 1/2520 (/.f64 (pow.f64 y 7) x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) x) (*.f64 (/.f64 1/60 x) (pow.f64 y 5))))) |
(fma.f64 2 (/.f64 y x) (fma.f64 1/2520 (/.f64 (pow.f64 y 7) x) (fma.f64 1/3 (/.f64 (pow.f64 y 3) x) (*.f64 (pow.f64 y 5) (/.f64 1/60 x))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) | |
| 0.1b | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) | |
| 0.0b | (/.f64 (sinh.f64 y) x) | |
| 0.0b | (sinh.f64 y) | |
| 0.0b | (/.f64 (sinh.f64 y) x) | |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
| ✓ | 13.5b | (sqrt.f64 (/.f64 (sinh.f64 y) x)) |
Compiled 35 to 12 computations (65.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
| 1.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (/.f64 (sinh.f64 y) x)) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
| 1× | batch-egg-rewrite |
| 957× | pow1_binary64 |
| 887× | add-log-exp_binary64 |
| 886× | log1p-expm1-u_binary64 |
| 886× | expm1-log1p-u_binary64 |
| 96× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 213 | 25 |
| 2 | 2405 | 25 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 1/4) (pow.f64 (/.f64 (sinh.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 1/4) (*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 1/4) (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (/.f64 (sinh.f64 y) x) 1/4)) (pow.f64 (/.f64 (sinh.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 911× | fma-def_binary64 |
| 539× | associate-/l*_binary64 |
| 497× | times-frac_binary64 |
| 390× | *-commutative_binary64 |
| 327× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 956 |
| 1 | 194 | 916 |
| 2 | 537 | 852 |
| 3 | 2144 | 813 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x)) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x)) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x)) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) x)) |
Compiled 18174 to 8432 computations (53.6% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 798 | 7 | 805 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 801 | 12 | 813 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.9b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 43.5b | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) | |
| 42.1b | (/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 29.6b | y | |
| ✓ | 25.7b | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| ▶ | 29.2b | (*.f64 1 (sinh.f64 y)) |
| ▶ | 0.2b | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| ▶ | 2.8b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ▶ | 2.7b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| ✓ | 2.0b | (*.f64 (sin.f64 x) (/.f64 y x)) |
| ▶ | 1.9b | (*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 189 to 128 computations (32.3% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (sin.f64 x) (/.f64 1 x)) | |
| 0.1b | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) | |
| 0.0b | (sinh.f64 y) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (/.f64 1 x)) |
Compiled 27 to 14 computations (48.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 1 x)) |
| 0.0ms | y | @ | 0 | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | y | @ | inf | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | y | @ | -inf | (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 905× | pow1_binary64 |
| 835× | add-log-exp_binary64 |
| 833× | log1p-expm1-u_binary64 |
| 833× | expm1-log1p-u_binary64 |
| 816× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 185 | 17 |
| 2 | 2318 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 455× | distribute-rgt-in_binary64 |
| 369× | associate-/l*_binary64 |
| 368× | distribute-lft-out_binary64 |
| 343× | *-commutative_binary64 |
| 336× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 728 |
| 1 | 188 | 726 |
| 2 | 519 | 668 |
| 3 | 1887 | 637 |
| 4 | 5964 | 629 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) 1)) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (/.f64 x 1/6)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 y x) (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) x)) (/.f64 (pow.f64 y 3) (/.f64 x 1/6))))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) x)) (/.f64 (pow.f64 y 3) (/.f64 x 1/6))))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 y 3) (/.f64 x 1/6)) (*.f64 1/5040 (/.f64 (pow.f64 y 7) x))))) |
(*.f64 (sin.f64 x) (+.f64 (+.f64 (/.f64 y x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (/.f64 (pow.f64 y 3) (/.f64 x 1/6))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 x (*.f64 x -1/12)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))) |
(fma.f64 (*.f64 x x) (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 x (*.f64 x -1/12)) (+.f64 1/2 (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 x (*.f64 x -1/12)) (*.f64 (pow.f64 x 6) -1/10080))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) 1/2))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/10080) (*.f64 (pow.f64 x 4) 1/240)) (+.f64 1/2 (*.f64 x (*.f64 x -1/12))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| 0.0b | (sinh.f64 y) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 x) x) | |
| 0.1b | (*.f64 y (/.f64 (sin.f64 x) x)) | |
| ✓ | 0.1b | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 0.0ms | y | @ | 0 | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | 0 | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 0.0ms | y | @ | -inf | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 689× | pow1_binary64 |
| 636× | add-log-exp_binary64 |
| 636× | log1p-expm1-u_binary64 |
| 636× | expm1-log1p-u_binary64 |
| 621× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 9 |
| 2 | 1682 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 695× | associate-/l/_binary64 |
| 433× | *-commutative_binary64 |
| 399× | distribute-rgt-out_binary64 |
| 395× | times-frac_binary64 |
| 373× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 250 |
| 1 | 59 | 244 |
| 2 | 152 | 244 |
| 3 | 493 | 238 |
| 4 | 1927 | 237 |
| 5 | 4053 | 237 |
| 6 | 4679 | 237 |
| 7 | 7223 | 237 |
| 8 | 7753 | 237 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y) |
(*.f64 y (fma.f64 x (*.f64 x -1/6) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y)) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) y) |
(fma.f64 y (fma.f64 1/120 (pow.f64 x 4) (*.f64 x (*.f64 x -1/6))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y))) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) y)) |
(*.f64 y (+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(*.f64 y (+.f64 (fma.f64 1/120 (pow.f64 x 4) 1) (fma.f64 x (*.f64 x -1/6) (*.f64 -1/5040 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| ✓ | 0.9b | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | y | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 788× | pow1_binary64 |
| 732× | add-log-exp_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 732× | expm1-log1p-u_binary64 |
| 715× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 131 | 9 |
| 2 | 1925 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 695× | associate-/l/_binary64 |
| 434× | *-commutative_binary64 |
| 399× | distribute-rgt-out_binary64 |
| 395× | times-frac_binary64 |
| 382× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 250 |
| 1 | 59 | 244 |
| 2 | 152 | 244 |
| 3 | 493 | 238 |
| 4 | 1964 | 237 |
| 5 | 4090 | 237 |
| 6 | 4716 | 237 |
| 7 | 7252 | 237 |
| 8 | 7782 | 237 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y)) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y)) |
(*.f64 y (+.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))) (fma.f64 -1/6 (*.f64 x x) 1))) |
(*.f64 y (+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| 0.3b | (*.f64 -1/6 (*.f64 y x)) | |
| 0.0b | (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) | |
| ✓ | 0.0b | (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
| ✓ | 0.3b | (*.f64 -1/6 (*.f64 y x)) |
| ✓ | 0.9b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
Compiled 39 to 15 computations (61.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 2.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1.0ms | x | @ | inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 1× | batch-egg-rewrite |
| 621× | log-prod_binary64 |
| 385× | pow-prod-down_binary64 |
| 333× | fma-def_binary64 |
| 305× | pow2_binary64 |
| 213× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 224 | 34 |
| 2 | 3244 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 -1/6 (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x -1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x -1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 -1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 789× | fma-def_binary64 |
| 779× | times-frac_binary64 |
| 747× | associate-/r*_binary64 |
| 737× | associate-/l*_binary64 |
| 578× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 900 |
| 1 | 231 | 838 |
| 2 | 622 | 790 |
| 3 | 2003 | 752 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(/.f64 x y) |
(*.f64 -1/6 (*.f64 y x)) |
(*.f64 -1/6 (*.f64 y x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(/.f64 -1 (fma.f64 y 1/6 (/.f64 -1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (/.f64 -1 (fma.f64 y 1/6 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y)))))) |
(fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (/.f64 -1 (fma.f64 y 1/6 (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))))))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 (/.f64 1/6 (fma.f64 y 1/6 (/.f64 -1 y))) (*.f64 x x) (fma.f64 (/.f64 1/5040 (fma.f64 y 1/6 (/.f64 -1 y))) (pow.f64 x 6) (/.f64 -1 (fma.f64 y 1/6 (/.f64 -1 y)))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (/.f64 (sin.f64 x) (fma.f64 y -1/6 (/.f64 1 y))) x) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (-.f64 (*.f64 y 1/6) (/.f64 1 y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (fma.f64 y 1/6 (/.f64 -1 y)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (/.f64 x 1/6)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 1/36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/36 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/36 (/.f64 (pow.f64 y 5) x))))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 1/36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/216 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/216 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/36 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/216 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 y x) (*.f64 1/36 (/.f64 (pow.f64 y 5) x)))) (*.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 y 3) (/.f64 x 1/6)) (*.f64 1/216 (/.f64 (pow.f64 y 7) x))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 -6 x)) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -6 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (+.f64 (/.f64 -6 y) (/.f64 -216 (pow.f64 y 5))) (/.f64 -36 (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7)))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 -6 x)) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -6 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3)))))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (+.f64 (/.f64 -6 y) (/.f64 -216 (pow.f64 y 5))) (/.f64 -36 (pow.f64 y 3)))) |
(+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 5) x))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 3) x))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 (pow.f64 y 7) x))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(fma.f64 -216 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 5))) (fma.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -1296 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 7))))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7)))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))))) |
(*.f64 (/.f64 (sin.f64 x) x) (+.f64 (+.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 -216 (pow.f64 y 5))) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7))))) |
(/.f64 x y) |
(*.f64 -1/6 (*.f64 y x)) |
(*.f64 (*.f64 y -1/6) x) |
(*.f64 y (*.f64 x -1/6)) |
(*.f64 y (*.f64 -1/6 x)) |
(*.f64 -1/6 (*.f64 y x)) |
(*.f64 (*.f64 y -1/6) x) |
(*.f64 y (*.f64 x -1/6)) |
(*.f64 y (*.f64 -1/6 x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
Compiled 5919 to 2933 computations (50.4% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 401 | 6 | 407 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 405 | 14 | 419 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.7b | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| 29.6b | y | |
| ▶ | 18.6b | (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
| ✓ | 2.7b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| ✓ | 0.9b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 43.5b | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) | |
| ▶ | 29.6b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
| ▶ | 2.0b | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| ✓ | 29.2b | (*.f64 1 (sinh.f64 y)) |
| ▶ | 42.1b | (/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ▶ | 2.0b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 2.0b | (*.f64 (sin.f64 x) (/.f64 y x)) |
| ✓ | 1.9b | (*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 205 to 143 computations (30.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 x (sin.f64 x)) | |
| 0.1b | (/.f64 y (/.f64 x (sin.f64 x))) | |
| ✓ | 0.1b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 16 to 5 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 788× | pow1_binary64 |
| 732× | add-log-exp_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 732× | expm1-log1p-u_binary64 |
| 715× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 131 | 15 |
| 2 | 1925 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sin.f64 x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 695× | associate-/l/_binary64 |
| 559× | fma-def_binary64 |
| 558× | distribute-rgt-out_binary64 |
| 494× | distribute-lft-out_binary64 |
| 490× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 298 |
| 1 | 88 | 290 |
| 2 | 223 | 290 |
| 3 | 720 | 284 |
| 4 | 2744 | 283 |
| 5 | 4949 | 283 |
| 6 | 6660 | 283 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 7/360) 1/6) (fma.f64 31/15120 (pow.f64 x 6) 1)) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) (fma.f64 7/360 (pow.f64 x 4) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(fma.f64 -1/6 (*.f64 (*.f64 x x) y) y) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) y) |
(*.f64 y (fma.f64 x (*.f64 x -1/6) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 (*.f64 x x) y) y)) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) (fma.f64 (pow.f64 x 4) (*.f64 y 1/120) y)) |
(fma.f64 y (fma.f64 (pow.f64 x 4) 1/120 (*.f64 x (*.f64 x -1/6))) y) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 (pow.f64 x 4) 1/120)) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))))) |
(fma.f64 (*.f64 y -1/5040) (pow.f64 x 6) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 (*.f64 x x) y) y))) |
(fma.f64 (pow.f64 x 4) (*.f64 y 1/120) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 (*.f64 x x) (*.f64 y -1/6) y))) |
(fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 y (fma.f64 (pow.f64 x 4) 1/120 (*.f64 x (*.f64 x -1/6))) y)) |
(*.f64 y (+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 (pow.f64 x 6) -1/5040 (*.f64 (pow.f64 x 4) 1/120)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 -1/6 y) | |
| 0.2b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) | |
| 0.0b | (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
| ✓ | 0.2b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
| ✓ | 0.3b | (*.f64 -1/6 y) |
Compiled 27 to 20 computations (25.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
| 1.0ms | y | @ | 0 | (*.f64 -1/6 y) |
| 0.0ms | y | @ | inf | (*.f64 -1/6 y) |
| 0.0ms | y | @ | -inf | (*.f64 -1/6 y) |
| 0.0ms | y | @ | -inf | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
| 1× | batch-egg-rewrite |
| 868× | pow1_binary64 |
| 812× | add-log-exp_binary64 |
| 812× | log1p-expm1-u_binary64 |
| 812× | expm1-log1p-u_binary64 |
| 795× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 174 | 23 |
| 2 | 2283 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/6 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1/2) (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (+.f64 (pow.f64 y -2) (-.f64 (pow.f64 (*.f64 -1/6 y) 2) (/.f64 (*.f64 -1/6 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 y -2) (pow.f64 (*.f64 -1/6 y) 2))) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) (/.f64 (pow.f64 (*.f64 -1/6 y) 2) (+.f64 (/.f64 1 y) (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 y (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 (pow.f64 (*.f64 -1/6 y) 2) (/.f64 (*.f64 -1/6 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (pow.f64 (*.f64 -1/6 y) 2)) (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (-.f64 (pow.f64 (*.f64 -1/6 y) 2) (/.f64 (*.f64 -1/6 y) y))) (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (-.f64 (pow.f64 y -2) (pow.f64 (*.f64 -1/6 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/6 y (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/6 y (/.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))) (+.f64 (pow.f64 y -2) (-.f64 (pow.f64 (*.f64 -1/6 y) 2) (/.f64 (*.f64 -1/6 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 -1/6 y) 2) (-.f64 (pow.f64 y -2) (/.f64 (*.f64 -1/6 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (pow.f64 (*.f64 -1/6 y) 2)) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 -1/216 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 y -2) (-.f64 (pow.f64 (*.f64 -1/6 y) 2) (/.f64 (*.f64 -1/6 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (*.f64 -1/6 y) 2))) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1/6 y) 2) (pow.f64 y -2)) (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 y (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/6 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 (*.f64 -1/6 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 y (/.f64 1 y)))))))) |
| 1× | egg-herbie |
| 795× | fma-def_binary64 |
| 697× | distribute-neg-frac_binary64 |
| 588× | fma-neg_binary64 |
| 376× | associate-/r*_binary64 |
| 316× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 216 |
| 1 | 118 | 200 |
| 2 | 324 | 198 |
| 3 | 979 | 198 |
| 4 | 2436 | 198 |
| 5 | 6333 | 198 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7))))) |
(/.f64 -6 y) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7))))))) |
(/.f64 -6 y) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7))))))) |
(/.f64 1 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/36 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) |
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/36 (pow.f64 y 5) y)) |
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7))))) |
(fma.f64 1/36 (pow.f64 y 5) (+.f64 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/216 (pow.f64 y 7))))) |
(+.f64 (fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) (*.f64 1/216 (pow.f64 y 7))) |
(fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/216 (pow.f64 y 7) y))) |
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/216 (pow.f64 y 7) y))) |
(/.f64 -6 y) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3)))) |
(+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5)))) |
(+.f64 (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y)) (/.f64 -36 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) (/.f64 -216 (pow.f64 y 5))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7))))))) |
(neg.f64 (+.f64 (/.f64 216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))))) |
(-.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7))))) |
(-.f64 (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y)) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))) |
(+.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 -36 (pow.f64 y 3)) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7))))) |
(+.f64 (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7))) (-.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 5)))) |
(/.f64 -6 y) |
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))) |
(neg.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3)))) |
(+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5)))) |
(+.f64 (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y)) (/.f64 -36 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3))) (/.f64 -216 (pow.f64 y 5))) |
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7))))))) |
(neg.f64 (+.f64 (/.f64 216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))))) |
(-.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7))))) |
(-.f64 (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y)) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))) |
(+.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 -36 (pow.f64 y 3)) (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7))))) |
(+.f64 (+.f64 (/.f64 -6 y) (/.f64 -1296 (pow.f64 y 7))) (-.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 5)))) |
(/.f64 1 y) |
(*.f64 -1/6 y) |
(*.f64 y -1/6) |
(*.f64 -1/6 y) |
(*.f64 y -1/6) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (sin.f64 x) (/.f64 1 x)) | |
| 0.1b | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) | |
| ✓ | 0.1b | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.3b | (*.f64 (sin.f64 x) (/.f64 1 x)) |
Compiled 24 to 13 computations (45.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | y | @ | -inf | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 0.0ms | y | @ | inf | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 761× | pow1_binary64 |
| 700× | add-log-exp_binary64 |
| 700× | log1p-expm1-u_binary64 |
| 700× | expm1-log1p-u_binary64 |
| 684× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 161 | 9 |
| 2 | 1972 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sin.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sin.f64 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 695× | associate-/l/_binary64 |
| 433× | *-commutative_binary64 |
| 399× | distribute-rgt-out_binary64 |
| 395× | times-frac_binary64 |
| 373× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 250 |
| 1 | 59 | 244 |
| 2 | 152 | 244 |
| 3 | 493 | 238 |
| 4 | 1927 | 237 |
| 5 | 4053 | 237 |
| 6 | 4679 | 237 |
| 7 | 7223 | 237 |
| 8 | 7753 | 237 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y) |
(*.f64 y (fma.f64 x (*.f64 x -1/6) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y)) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) y) |
(fma.f64 y (fma.f64 1/120 (pow.f64 x 4) (*.f64 x (*.f64 x -1/6))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y))) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) y)) |
(*.f64 y (+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(*.f64 y (+.f64 (fma.f64 1/120 (pow.f64 x 4) 1) (fma.f64 x (*.f64 x -1/6) (*.f64 -1/5040 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 16.7b | (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) | |
| 0.2b | (/.f64 (sin.f64 x) (/.f64 1 y)) | |
| ✓ | 0.2b | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| ✓ | 16.7b | (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
Compiled 29 to 17 computations (41.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 493× | log-prod_binary64 |
| 444× | prod-exp_binary64 |
| 381× | exp-prod_binary64 |
| 333× | pow-prod-down_binary64 |
| 241× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 193 | 15 |
| 2 | 2644 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(/.f64 (sin.f64 x) (/.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x y) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (/.f64 (/.f64 1 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 x (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (/.f64 -1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -1) (*.f64 (/.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) -1) (*.f64 (/.f64 -1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y -1/2)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 x)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (neg.f64 (sin.f64 x))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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(neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))))))) |
| 1× | egg-herbie |
| 1712× | fma-def_binary64 |
| 701× | associate-/l/_binary64 |
| 407× | *-commutative_binary64 |
| 397× | times-frac_binary64 |
| 283× | associate-/l*_binary64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 446 |
| 1 | 115 | 440 |
| 2 | 313 | 437 |
| 3 | 1069 | 420 |
| 4 | 2596 | 419 |
| 5 | 3593 | 419 |
| 6 | 4153 | 419 |
| 7 | 6533 | 419 |
| 8 | 6749 | 419 |
| 9 | 7038 | 413 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) y) |
(*.f64 y (fma.f64 x (*.f64 -1/6 x) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y) |
(*.f64 y (fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 1))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (*.f64 y -1/6) y))) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))) y)) |
(*.f64 y (+.f64 (fma.f64 x (*.f64 -1/6 x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(*.f64 y (fma.f64 x (fma.f64 1/120 (pow.f64 x 3) (*.f64 -1/6 x)) (fma.f64 -1/5040 (pow.f64 x 6) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x)) |
(fma.f64 y x (*.f64 y (*.f64 (pow.f64 x 3) -1/6))) |
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 y (fma.f64 -1/6 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120)))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(*.f64 y (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 y (+.f64 (*.f64 1/120 (pow.f64 x 5)) (fma.f64 -1/6 (pow.f64 x 3) x))) |
(*.f64 y (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))) |
(*.f64 y (+.f64 (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/120 (pow.f64 x 5))) (fma.f64 -1/6 (pow.f64 x 3) x))) |
(*.f64 y (+.f64 (fma.f64 -1/5040 (pow.f64 x 7) x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 y (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.2b | (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) | |
| 3.2b | (/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 0.1b | (*.f64 y (sin.f64 x)) | |
| ✓ | 0.1b | (*.f64 y (sin.f64 x)) |
| ✓ | 3.2b | (/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 3.2b | (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) |
Compiled 29 to 7 computations (75.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 986× | pow1_binary64 |
| 919× | add-log-exp_binary64 |
| 919× | log1p-expm1-u_binary64 |
| 919× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 170 | 26 |
| 2 | 2455 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 y (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 (sqrt.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2) x)) (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 1) (sqrt.f64 (/.f64 y (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (sin.f64 x) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 (sin.f64 x) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 x (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 x (sin.f64 x)))) 2) (cbrt.f64 (/.f64 y (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2) x)) (*.f64 (cbrt.f64 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(pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sin.f64 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 x (sin.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 920× | fma-def_binary64 |
| 807× | div-sub_binary64 |
| 446× | distribute-neg-frac_binary64 |
| 318× | times-frac_binary64 |
| 314× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 494 |
| 1 | 144 | 488 |
| 2 | 425 | 485 |
| 3 | 1518 | 468 |
| 4 | 4918 | 467 |
| 5 | 7632 | 467 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
| Outputs |
|---|
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y) |
(*.f64 y (fma.f64 x (*.f64 x -1/6) 1)) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) y)) |
(*.f64 y (+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 -1 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (pow.f64 x 3) (*.f64 y -1/6))) |
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 y (fma.f64 -1/6 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 y (*.f64 (pow.f64 x 5) 1/120)))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 5)) (*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(*.f64 y (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 1/120 (pow.f64 x 5) x))) |
(*.f64 y (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 y (*.f64 (pow.f64 x 5) 1/120))))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 7)) (fma.f64 y (*.f64 1/120 (pow.f64 x 5)) (*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) |
(*.f64 y (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))) |
Compiled 6548 to 3256 computations (50.3% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 6 | 521 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 10 | 11 |
| Total | 517 | 18 | 535 |
| Status | Error | Program |
|---|---|---|
| ✓ | 25.7b | (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| 19.0b | (/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x))) | |
| 29.6b | y | |
| 46.2b | (*.f64 (/.f64 1 x) (*.f64 y x)) | |
| ✓ | 29.2b | (*.f64 1 (sinh.f64 y)) |
| 18.5b | (*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) | |
| 29.7b | (/.f64 1 (/.f64 1 y)) | |
| ✓ | 0.9b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 43.5b | (*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) | |
| ✓ | 29.6b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
| 62.8b | (/.f64 -6 y) | |
| ✓ | 2.0b | (*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
| 2.0b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) | |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ✓ | 2.0b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 2.7b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| ✓ | 2.0b | (*.f64 (sin.f64 x) (/.f64 y x)) |
| ✓ | 1.9b | (*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 166 to 118 computations (28.9% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
3 calls:
| 12.0ms | (sinh.f64 y) |
| 10.0ms | y |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 142 to 75 computations (47.2% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sin.f64 x))) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 y (/.f64 (sin.f64 x) x)) |
3 calls:
| 19.0ms | x |
| 9.0ms | (sinh.f64 y) |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 1 | x |
| 1.9b | 1 | y |
| 1.9b | 1 | (sinh.f64 y) |
Compiled 105 to 59 computations (43.8% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(*.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
(*.f64 1 (sinh.f64 y)) |
3 calls:
| 14.0ms | x |
| 5.0ms | (sinh.f64 y) |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 29.2b | 1 | x |
| 29.2b | 1 | y |
| 29.2b | 1 | (sinh.f64 y) |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
2 calls:
| 5.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 29.6b | 1 | x |
| 29.6b | 1 | y |
Compiled 33 to 23 computations (30.3% saved)
Total -33.2b remaining (-112.3%)
Threshold costs -33.2b (-112.3%)
| Inputs |
|---|
y |
(/.f64 -6 y) |
(/.f64 1 (/.f64 1 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
| Outputs |
|---|
y |
2 calls:
| 5.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.6b | 1 | x |
| 29.6b | 1 | y |
Compiled 24 to 16 computations (33.3% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-lft-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 37 |
| 1 | 22 | 37 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (sinh.f64 y)) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 1 (sinh.f64 y)) |
(sinh.f64 y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
y |
| 1× | fuel |
Compiled 62 to 39 computations (37.1% saved)
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