Time bar (total: 9.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 6.2% | 93.7% | 0.1% | 6 |
| 37.5% | 62.4% | 0.1% | 7 |
| 37.5% | 62.4% | 0.1% | 8 |
| 43.7% | 45.3% | 11% | 9 |
| 43.7% | 44.5% | 11.8% | 10 |
| 46.8% | 35.5% | 17.7% | 11 |
| 46.8% | 34.9% | 18.2% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.2s | 5182× | body | 256 | valid |
| 1.2s | 2049× | body | 1024 | invalid |
| 1.1s | 1994× | body | 1024 | valid |
| 430.0ms | 2118× | body | 256 | invalid |
| 329.0ms | 1075× | body | 512 | valid |
| 285.0ms | 1023× | body | 512 | invalid |
| 9.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 740× | fma-neg_binary64 |
| 620× | fma-def_binary64 |
| 554× | div-sub_binary64 |
| 485× | associate-*l/_binary64 |
| 400× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 28 | 22 |
| 2 | 63 | 22 |
| 3 | 144 | 22 |
| 4 | 329 | 22 |
| 5 | 839 | 22 |
| 6 | 2566 | 22 |
| 7 | 6744 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 804× | fma-neg_binary64 |
| 491× | times-frac_binary64 |
| 419× | associate-/l*_binary64 |
| 357× | div-sub_binary64 |
| 352× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 16 | 11 |
| 2 | 35 | 11 |
| 3 | 77 | 11 |
| 4 | 171 | 11 |
| 5 | 428 | 11 |
| 6 | 1295 | 11 |
| 7 | 5092 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
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 |
|---|---|---|
| ▶ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| ▶ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 18 to 12 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sinh.f64 y) y) |
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | -inf | (sinh.f64 y) |
| 3.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | y | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | y | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 822× | pow1_binary64 |
| 761× | add-log-exp_binary64 |
| 760× | log1p-expm1-u_binary64 |
| 760× | expm1-log1p-u_binary64 |
| 743× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 148 | 20 |
| 2 | 1998 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sinh.f64 y) |
(/.f64 (sinh.f64 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 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 expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(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 -.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y))))))) |
| 1× | egg-herbie |
| 433× | *-commutative_binary64 |
| 396× | associate-/l*_binary64 |
| 391× | times-frac_binary64 |
| 373× | unswap-sqr_binary64 |
| 298× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 970 |
| 1 | 217 | 949 |
| 2 | 615 | 899 |
| 3 | 2289 | 848 |
| 4 | 6240 | 848 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 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)))) |
1 |
(+.f64 1 (*.f64 1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
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(/.f64 x (/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))) |
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(fma.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))) |
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(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))) |
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(fma.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y x)))) |
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(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
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(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
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(*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 (sin.f64 x) y)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
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(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 1)) |
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(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))))) |
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(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
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(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))))) |
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(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))))) |
(*.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))) |
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(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
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(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
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(*.f64 (/.f64 (sin.f64 x) y) (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) y)) |
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)))) |
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(*.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)))) |
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(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))) |
1 |
(+.f64 1 (*.f64 1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 1/6 (*.f64 y y))) |
(fma.f64 1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 y 1/6) 1) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y)))) |
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))))) |
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 (sin.f64 x) y) |
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| 1.0ms | x | @ | 0 | (/.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) y) |
| 1× | batch-egg-rewrite |
| 829× | pow1_binary64 |
| 768× | add-log-exp_binary64 |
| 767× | log1p-expm1-u_binary64 |
| 767× | expm1-log1p-u_binary64 |
| 750× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 148 | 17 |
| 2 | 2008 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (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 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (cbrt.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sqrt.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 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 expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))))) |
| 1× | egg-herbie |
| 475× | associate-/l*_binary64 |
| 459× | times-frac_binary64 |
| 394× | *-commutative_binary64 |
| 308× | associate-/r*_binary64 |
| 235× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 714 |
| 1 | 196 | 705 |
| 2 | 547 | 690 |
| 3 | 1986 | 637 |
| 4 | 5935 | 637 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x)))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (fma.f64 1/6 (*.f64 y y) 1))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/6 (*.f64 y y)))) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 x (/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))) |
(fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)))) |
(fma.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x 1/2) (*.f64 -1/12 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5)))))) |
(fma.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y (pow.f64 x 5)) 1/240)))) |
(fma.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (/.f64 (pow.f64 x 7) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 -1/10080 (pow.f64 x 7)))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x 1/2) (*.f64 -1/12 (pow.f64 x 3)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/10080 (pow.f64 x 7))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y)) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y))) |
(fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 x y)))) |
Compiled 3009 to 1366 computations (54.6% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 4 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 220 | 6 | 226 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 34.1b | (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
| ▶ | 40.6b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| ▶ | 31.2b | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| ▶ | 1.3b | (sin.f64 x) |
Compiled 54 to 38 computations (29.6% saved)
Compiled 5 to 3 computations (40% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 x) y) | |
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
| ✓ | 0.4b | (pow.f64 (/.f64 (sin.f64 x) y) 3) |
| ✓ | 32.6b | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)) |
Compiled 36 to 15 computations (58.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
| 2.0ms | y | @ | -inf | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)) |
| 2.0ms | x | @ | 0 | (pow.f64 (/.f64 (sin.f64 x) y) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (sin.f64 x) y) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 (sin.f64 x) y) 3) |
| 1× | batch-egg-rewrite |
| 468× | log-prod_binary64 |
| 382× | prod-exp_binary64 |
| 345× | exp-prod_binary64 |
| 302× | pow-prod-down_binary64 |
| 245× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 217 | 26 |
| 2 | 2526 | 26 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)) |
(pow.f64 (/.f64 (sin.f64 x) y) 3) |
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
| Outputs |
|---|
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(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1) (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3) (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 x) y)) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (/.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3))))))) |
| 1× | egg-herbie |
| 685× | associate-*l/_binary64 |
| 469× | associate-*r/_binary64 |
| 462× | associate-/r/_binary64 |
| 324× | associate-/l/_binary64 |
| 324× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1246 |
| 1 | 278 | 1235 |
| 2 | 878 | 1218 |
| 3 | 3553 | 1093 |
| 4 | 7858 | 1093 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(/.f64 (pow.f64 x 3) (pow.f64 y 3)) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3)))))) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
| Outputs |
|---|
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y)) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 x y)))) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y)) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y)) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y)) |
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y)) |
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y) |
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y)) |
(/.f64 (pow.f64 x 3) (pow.f64 y 3)) |
(pow.f64 (/.f64 x y) 3) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 y 3))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3)) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (/.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 y 3)))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 5) -1/2) (pow.f64 y 3)))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3)))))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3)))))) |
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (fma.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 5) -1/2) (pow.f64 y 3))))) |
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 14.6b | (*.f64 (sinh.f64 y) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| 1.0ms | y | @ | -inf | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 734× | pow1_binary64 |
| 682× | add-log-exp_binary64 |
| 681× | log1p-expm1-u_binary64 |
| 681× | expm1-log1p-u_binary64 |
| 666× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 129 | 9 |
| 2 | 1784 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sinh.f64 y) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 x)) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (sinh.f64 y))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 510× | distribute-lft-in_binary64 |
| 490× | distribute-rgt-out_binary64 |
| 482× | distribute-rgt-in_binary64 |
| 455× | fma-def_binary64 |
| 405× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 444 |
| 1 | 83 | 444 |
| 2 | 216 | 438 |
| 3 | 699 | 415 |
| 4 | 2690 | 415 |
| 5 | 5809 | 415 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 y (*.f64 x (*.f64 1/6 y)) x) |
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1))) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))) x) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| ✓ | 13.8b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
Compiled 39 to 10 computations (74.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 138.0ms | x | @ | 0 | (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) |
| 3.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| 3.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| 2.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| 1× | batch-egg-rewrite |
| 481× | log-prod_binary64 |
| 366× | exp-prod_binary64 |
| 365× | prod-exp_binary64 |
| 298× | pow-prod-down_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 213 | 43 |
| 2 | 2494 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) |
| Outputs |
|---|
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1/6) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/4) (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1) 1)))))) |
| 1× | egg-herbie |
| 696× | fma-def_binary64 |
| 660× | distribute-rgt-in_binary64 |
| 518× | times-frac_binary64 |
| 404× | associate-*r*_binary64 |
| 398× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 1841 |
| 1 | 366 | 1811 |
| 2 | 1107 | 1656 |
| 3 | 4621 | 1555 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x))) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x))) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 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))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(sqrt.f64 (sin.f64 x)) |
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 1/5040 (sin.f64 x)) (*.f64 1/12 (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x)) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) x) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)))) |
(fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (/.f64 (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) y) (pow.f64 x 3))) |
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5))))) |
(fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/240 (*.f64 (/.f64 (pow.f64 x 5) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) y) (pow.f64 x 3)))) |
(fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)))))) |
(fma.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/240 (*.f64 (/.f64 (pow.f64 x 5) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 (exp.f64 y) -1/10080 (/.f64 1/10080 (exp.f64 y))) (/.f64 y (pow.f64 x 7)))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/10080 (pow.f64 x 7))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/5040 (pow.f64 y 6)))) (*.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1) (sin.f64 x))) |
(fma.f64 (fma.f64 1/120 (pow.f64 y 4) 1) (sin.f64 x) (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))))) |
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y) |
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(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))) |
(sqrt.f64 (sin.f64 x)) |
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(fma.f64 1/12 (*.f64 (*.f64 y y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (+.f64 (*.f64 (*.f64 y y) 1/12) 1) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1)) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 1/12 (*.f64 (*.f64 y y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))) |
(fma.f64 (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (*.f64 (*.f64 y y) 1/12) 1) (sqrt.f64 (sin.f64 x)))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (fma.f64 (sin.f64 x) 1/120 (*.f64 (sin.f64 x) -1/144)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (*.f64 (sin.f64 x) 1/720) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 1/5040 (sin.f64 x)) (*.f64 1/12 (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 1/12 (*.f64 (*.f64 y y) (sqrt.f64 (sin.f64 x))) (fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 (sin.f64 x) 1/5040) (*.f64 -1/12 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2)))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (*.f64 (*.f64 y y) 1/12) 1) (sqrt.f64 (sin.f64 x)))) (*.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (fma.f64 (sin.f64 x) 1/5040 (*.f64 -1/12 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2)))))))) |
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (fma.f64 (sin.f64 x) 1/120 (*.f64 (sin.f64 x) -1/144)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (fma.f64 -1/12 (fma.f64 (sin.f64 x) 1/120 (*.f64 (sin.f64 x) -1/144)) (*.f64 (sin.f64 x) 1/5040)))) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1)))) |
(+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 (sin.f64 x) 1/720)) (*.f64 (pow.f64 y 6) (fma.f64 -1/12 (*.f64 (sin.f64 x) 1/720) (*.f64 (sin.f64 x) 1/5040)))))) |
Compiled 8268 to 3791 computations (54.1% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 4 | 535 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 531 | 10 | 541 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 32.1b | (*.f64 y (/.f64 x y)) |
| ✓ | 31.2b | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| ▶ | 31.4b | (fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
| 31.6b | x | |
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| ▶ | 31.2b | (/.f64 (sinh.f64 y) (/.f64 y x)) |
| ✓ | 34.1b | (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
| ✓ | 40.6b | (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| ✓ | 1.3b | (sin.f64 x) |
Compiled 82 to 55 computations (32.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 14.6b | (*.f64 y (/.f64 x y)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 y (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 y (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 y (/.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 y (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (*.f64 y (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 593× | pow1_binary64 |
| 549× | add-log-exp_binary64 |
| 549× | log1p-expm1-u_binary64 |
| 549× | expm1-log1p-u_binary64 |
| 536× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1457 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x y)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 24 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 14.3b | (/.f64 (sinh.f64 y) (/.f64 y x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) (/.f64 y x)) |
| 1.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) (/.f64 y x)) |
| 1.0ms | x | @ | -inf | (/.f64 (sinh.f64 y) (/.f64 y x)) |
| 1.0ms | y | @ | inf | (/.f64 (sinh.f64 y) (/.f64 y x)) |
| 1.0ms | x | @ | inf | (/.f64 (sinh.f64 y) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 826× | pow1_binary64 |
| 771× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 753× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 135 | 9 |
| 2 | 2017 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 510× | distribute-lft-in_binary64 |
| 490× | distribute-rgt-out_binary64 |
| 482× | distribute-rgt-in_binary64 |
| 455× | fma-def_binary64 |
| 405× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 444 |
| 1 | 83 | 444 |
| 2 | 216 | 438 |
| 3 | 699 | 415 |
| 4 | 2690 | 415 |
| 5 | 5809 | 415 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 y (*.f64 x (*.f64 1/6 y)) x) |
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1))) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))) x) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 y (*.f64 x 1/6)) |
| ✓ | 0.3b | (*.f64 x 1/6) |
Compiled 21 to 12 computations (42.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 y (*.f64 x 1/6)) |
| 1.0ms | y | @ | inf | (*.f64 y (*.f64 x 1/6)) |
| 1.0ms | x | @ | 0 | (*.f64 x 1/6) |
| 0.0ms | x | @ | 0 | (*.f64 y (*.f64 x 1/6)) |
| 0.0ms | x | @ | inf | (*.f64 x 1/6) |
| 1× | batch-egg-rewrite |
| 557× | pow1_binary64 |
| 514× | add-log-exp_binary64 |
| 514× | log1p-expm1-u_binary64 |
| 514× | expm1-log1p-u_binary64 |
| 503× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 121 | 11 |
| 2 | 1399 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/6) |
(*.f64 y (*.f64 x 1/6)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 x (*.f64 1/6 y)) 3) 1/3)))) (#(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 sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 y)) 2))))) (#(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 cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 y))))))) (#(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)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 2× | associate-*r*_binary64 |
| 2× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 216 |
| 1 | 12 | 216 |
| 2 | 17 | 216 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
Compiled 1307 to 591 computations (54.8% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 6 | 126 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 123 | 13 | 136 |
| Status | Error | Program |
|---|---|---|
| 31.6b | x | |
| ▶ | 30.8b | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 32.1b | (/.f64 y (/.f64 y x)) |
| ✓ | 32.1b | (*.f64 y (/.f64 x y)) |
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| ▶ | 45.2b | (/.f64 (*.f64 y x) y) |
| ▶ | 45.3b | (/.f64 1 (/.f64 y (*.f64 y x))) |
| ▶ | 61.1b | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| ✓ | 34.1b | (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
| 31.9b | (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 y x)) | |
| ✓ | 31.2b | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| ✓ | 1.3b | (sin.f64 x) |
Compiled 158 to 105 computations (33.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (sinh.f64 y) y) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.0b | (*.f64 (/.f64 (sinh.f64 y) y) x) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| 1× | batch-egg-rewrite |
| 728× | pow1_binary64 |
| 676× | add-log-exp_binary64 |
| 675× | log1p-expm1-u_binary64 |
| 675× | expm1-log1p-u_binary64 |
| 660× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 129 | 9 |
| 2 | 1777 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) x))))))) |
| 1× | egg-herbie |
| 510× | distribute-lft-in_binary64 |
| 490× | distribute-rgt-out_binary64 |
| 482× | distribute-rgt-in_binary64 |
| 455× | fma-def_binary64 |
| 405× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 444 |
| 1 | 83 | 444 |
| 2 | 216 | 438 |
| 3 | 699 | 415 |
| 4 | 2690 | 415 |
| 5 | 5809 | 415 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 y (*.f64 x (*.f64 1/6 y)) x) |
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1))) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))) x) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) |
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 14.2b | (/.f64 y (/.f64 y x)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (/.f64 y (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 y (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 y (/.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 560× | pow1_binary64 |
| 524× | add-log-exp_binary64 |
| 524× | log1p-expm1-u_binary64 |
| 524× | expm1-log1p-u_binary64 |
| 511× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 1 |
| 2 | 1706 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 y (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 24 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 13.6b | (/.f64 (*.f64 y x) y) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) y) |
| 1× | batch-egg-rewrite |
| 621× | pow1_binary64 |
| 577× | add-log-exp_binary64 |
| 577× | log1p-expm1-u_binary64 |
| 577× | expm1-log1p-u_binary64 |
| 564× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1513 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) (sqrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 24 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (/.f64 y (*.f64 y x))) |
| ✓ | 13.8b | (/.f64 y (*.f64 y x)) |
Compiled 20 to 7 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 y x)) |
| 1.0ms | x | @ | -inf | (/.f64 y (*.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 y (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 y (*.f64 y x)) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 667× | pow1_binary64 |
| 620× | add-log-exp_binary64 |
| 620× | log1p-expm1-u_binary64 |
| 620× | expm1-log1p-u_binary64 |
| 605× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 147 | 5 |
| 2 | 2037 | 5 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 y x)) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 120 |
| 1 | 6 | 120 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.1b | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| 14.6b | (*.f64 y (/.f64 x y)) |
Compiled 29 to 11 computations (62.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| 0.0ms | y | @ | -inf | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| 1× | batch-egg-rewrite |
| 973× | pow1_binary64 |
| 909× | add-log-exp_binary64 |
| 909× | log1p-expm1-u_binary64 |
| 909× | expm1-log1p-u_binary64 |
| 95× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 182 | 7 |
| 2 | 2685 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 y (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 y (/.f64 x y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (/.f64 x y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 y (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 2) (cbrt.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (sqrt.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (+.f64 (*.f64 y (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 y (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (/.f64 x y) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 y (/.f64 x y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (+.f64 (*.f64 y (/.f64 x y)) 2)) (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 y (/.f64 x y)) 2) (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (+.f64 (*.f64 y (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (-.f64 1 (*.f64 (fma.f64 y (/.f64 x y) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1) (+.f64 (*.f64 y (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1) (-.f64 (fma.f64 y (/.f64 x y) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (+.f64 (*.f64 y (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 y (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 y (/.f64 x y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 y (/.f64 x y) -1) (fma.f64 y (/.f64 x y) -1)) (fma.f64 y (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 y (/.f64 x y) -1) (fma.f64 y (/.f64 x y) -1))) (-.f64 1 (fma.f64 y (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (/.f64 x y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x y) 1)) 2) (cbrt.f64 (fma.f64 y (/.f64 x y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (/.f64 x y) 1)) (sqrt.f64 (fma.f64 y (/.f64 x y) 1)) -1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 24 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Compiled 3515 to 1624 computations (53.8% saved)
22 alts after pruning (12 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 12 | 344 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 10 | 10 |
| Total | 335 | 22 | 357 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.8b | (*.f64 (/.f64 (sinh.f64 y) y) x) |
| 32.6b | (/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1)) | |
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| 45.3b | (*.f64 (/.f64 1 y) (*.f64 y x)) | |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ✓ | 32.1b | (/.f64 y (/.f64 y x)) |
| ✓ | 32.1b | (*.f64 y (/.f64 x y)) |
| 31.6b | x | |
| 32.2b | (/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x))) | |
| 45.3b | (*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) | |
| 32.2b | (*.f64 (*.f64 (/.f64 1 y) x) y) | |
| ✓ | 31.2b | (*.f64 (sinh.f64 y) (/.f64 x y)) |
| 46.2b | (/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y)) | |
| 31.7b | (*.f64 (*.f64 (/.f64 1 y) y) x) | |
| ✓ | 1.3b | (sin.f64 x) |
| 60.7b | (-.f64 (+.f64 1 x) 1) | |
| 32.2b | (*.f64 y (/.f64 1 (/.f64 y x))) | |
| 31.7b | (/.f64 1 (/.f64 1 x)) | |
| 48.0b | (pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 2) | |
| ✓ | 45.2b | (/.f64 (*.f64 y x) y) |
| ✓ | 45.3b | (/.f64 1 (/.f64 y (*.f64 y x))) |
| ✓ | 34.1b | (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
Compiled 188 to 132 computations (29.8% saved)
| Inputs |
|---|
x |
x |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 y (/.f64 x y)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(*.f64 (*.f64 (/.f64 1 y) x) y) |
(*.f64 (*.f64 (/.f64 1 y) y) x) |
(*.f64 y (/.f64 1 (/.f64 y x))) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1)) |
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x))) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y)) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
(sin.f64 x) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(/.f64 (sinh.f64 y) (/.f64 y x)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 2) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 y x)) |
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))) |
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 49.0ms | y |
| 28.0ms | (sin.f64 x) |
| 28.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 14.0ms | x |
| 5.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0.0b | 1 | (sin.f64 x) |
| 0.0b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 214 to 107 computations (50% saved)
| Inputs |
|---|
x |
x |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 y (/.f64 x y)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(*.f64 (*.f64 (/.f64 1 y) x) y) |
(*.f64 (*.f64 (/.f64 1 y) y) x) |
(*.f64 y (/.f64 1 (/.f64 y x))) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1)) |
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x))) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y)) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
(sin.f64 x) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(/.f64 (sinh.f64 y) (/.f64 y x)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
| Outputs |
|---|
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
5 calls:
| 126.0ms | y |
| 44.0ms | (sin.f64 x) |
| 28.0ms | x |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (sin.f64 x) |
| 0.2b | 1 | (/.f64 (sinh.f64 y) y) |
| 0.2b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 166 to 88 computations (47% saved)
| Inputs |
|---|
x |
x |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 y (/.f64 x y)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(*.f64 (*.f64 (/.f64 1 y) x) y) |
(*.f64 (*.f64 (/.f64 1 y) y) x) |
(*.f64 y (/.f64 1 (/.f64 y x))) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1)) |
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x))) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y)) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
(sin.f64 x) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(/.f64 (sinh.f64 y) (/.f64 y x)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x) |
| Outputs |
|---|
(sin.f64 x) |
4 calls:
| 54.0ms | y |
| 24.0ms | (sin.f64 x) |
| 23.0ms | x |
| 9.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
| 1.3b | 1 | y |
| 1.3b | 1 | (sin.f64 x) |
| 1.3b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 153 to 82 computations (46.4% saved)
Total -29.9b remaining (-94.4%)
Threshold costs -29.9b (-94.4%)
| Inputs |
|---|
x |
x |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(*.f64 y (/.f64 x y)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(*.f64 (*.f64 (/.f64 1 y) x) y) |
(*.f64 (*.f64 (/.f64 1 y) y) x) |
(*.f64 y (/.f64 1 (/.f64 y x))) |
(/.f64 1 (/.f64 y (*.f64 y x))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1)) |
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x))) |
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y)) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1) |
| Outputs |
|---|
x |
2 calls:
| 20.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.6b | 1 | x |
| 31.6b | 1 | y |
Compiled 115 to 65 computations (43.5% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 11 | 26 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(sin.f64 x) |
x |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(sin.f64 x) |
x |
Compiled 25 to 17 computations (32% saved)
Compiled 19 to 8 computations (57.9% saved)
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