Time bar (total: 2.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 100% | 0% | 0% | 2 |
Compiled 10 to 8 computations (20% saved)
| 795.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 702× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 345× | fma-neg_binary64 |
| 290× | exp-prod_binary64 |
| 264× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 15 | 13 |
| 2 | 21 | 13 |
| 3 | 28 | 13 |
| 4 | 47 | 13 |
| 5 | 87 | 13 |
| 6 | 184 | 13 |
| 7 | 434 | 13 |
| 8 | 1195 | 13 |
| 9 | 3176 | 13 |
| 10 | 4367 | 13 |
| 11 | 5548 | 13 |
| 12 | 7298 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 702× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 345× | fma-neg_binary64 |
| 290× | exp-prod_binary64 |
| 264× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 15 | 13 |
| 2 | 21 | 13 |
| 3 | 28 | 13 |
| 4 | 47 | 13 |
| 5 | 87 | 13 |
| 6 | 184 | 13 |
| 7 | 434 | 13 |
| 8 | 1195 | 13 |
| 9 | 3176 | 13 |
| 10 | 4367 | 13 |
| 11 | 5548 | 13 |
| 12 | 7298 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 24 to 8 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | x | @ | 0 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | x | @ | inf | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 91× | add-sqr-sqrt_binary64 |
| 87× | add-log-exp_binary64 |
| 85× | *-un-lft-identity_binary64 |
| 85× | add-exp-log_binary64 |
| 85× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 176 | 9 |
| 2 | 2839 | 9 |
| 0 | 8 | 9 |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))) (/.f64 2 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 2 (cosh.f64 x))))))))) |
| 1× | egg-herbie |
| 722× | fma-def_binary64 |
| 402× | associate-/l/_binary64 |
| 370× | *-commutative_binary64 |
| 326× | distribute-lft-out_binary64 |
| 302× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 156 |
| 1 | 66 | 154 |
| 2 | 132 | 152 |
| 3 | 357 | 150 |
| 4 | 1279 | 150 |
| 5 | 3194 | 150 |
| 6 | 4371 | 150 |
| 7 | 7154 | 150 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (*.f64 -61/720 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -61/720 (pow.f64 x 6) (*.f64 5/24 (pow.f64 x 4)))) |
(fma.f64 -61/720 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 5/24 -1/2) (fma.f64 -61/720 (pow.f64 x 6) 1)) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 5/24 (pow.f64 x 4) (fma.f64 -61/720 (pow.f64 x 6) 1))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
Compiled 206 to 155 computations (24.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 3 | 19 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 17 | 3 | 20 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
| ▶ | 29.7b | (fma.f64 -1/2 (*.f64 x x) 1) |
| 29.2b | 1 |
Compiled 18 to 15 computations (16.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (*.f64 2 (cosh.f64 x))) |
Compiled 24 to 16 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 1 (*.f64 2 (cosh.f64 x))) |
| 1.0ms | x | @ | inf | (/.f64 1 (*.f64 2 (cosh.f64 x))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (*.f64 2 (cosh.f64 x))) |
| 1× | batch-egg-rewrite |
| 618× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 6 |
| 1 | 145 | 6 |
| 2 | 1667 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 2 (cosh.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (cosh.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 713× | fma-def_binary64 |
| 389× | *-commutative_binary64 |
| 372× | associate-/l/_binary64 |
| 326× | distribute-lft-out_binary64 |
| 315× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 156 |
| 1 | 51 | 154 |
| 2 | 109 | 150 |
| 3 | 316 | 150 |
| 4 | 1190 | 150 |
| 5 | 3026 | 150 |
| 6 | 3792 | 150 |
| 7 | 4723 | 150 |
| 8 | 7687 | 150 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 -61/1440 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4))))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2))) |
(+.f64 1/2 (*.f64 -1/4 (*.f64 x x))) |
(fma.f64 -1/4 (*.f64 x x) 1/2) |
(fma.f64 x (*.f64 -1/4 x) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4)))) |
(+.f64 1/2 (fma.f64 -1/4 (*.f64 x x) (*.f64 5/48 (pow.f64 x 4)))) |
(fma.f64 -1/4 (*.f64 x x) (fma.f64 5/48 (pow.f64 x 4) 1/2)) |
(fma.f64 x (fma.f64 5/48 (pow.f64 x 3) (*.f64 -1/4 x)) 1/2) |
(+.f64 (*.f64 -61/1440 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4))))) |
(fma.f64 -61/1440 (pow.f64 x 6) (+.f64 1/2 (fma.f64 -1/4 (*.f64 x x) (*.f64 5/48 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 5/48 (pow.f64 x 4))) (fma.f64 -61/1440 (pow.f64 x 6) 1/2)) |
(fma.f64 -61/1440 (pow.f64 x 6) (fma.f64 -1/4 (*.f64 x x) (fma.f64 5/48 (pow.f64 x 4) 1/2))) |
(fma.f64 -1/4 (*.f64 x x) (fma.f64 -61/1440 (pow.f64 x 6) (fma.f64 5/48 (pow.f64 x 4) 1/2))) |
(fma.f64 -61/1440 (pow.f64 x 6) (fma.f64 x (fma.f64 5/48 (pow.f64 x 3) (*.f64 -1/4 x)) 1/2)) |
(fma.f64 x (fma.f64 5/48 (pow.f64 x 3) (*.f64 -1/4 x)) (fma.f64 -61/1440 (pow.f64 x 6) 1/2)) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 -1/2 (*.f64 x x) 1) |
Compiled 13 to 7 computations (46.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 -1/2 (*.f64 x x) 1) |
| 1.0ms | x | @ | 0 | (fma.f64 -1/2 (*.f64 x x) 1) |
| 0.0ms | x | @ | -inf | (fma.f64 -1/2 (*.f64 x x) 1) |
| 1× | batch-egg-rewrite |
| 455× | pow1_binary64 |
| 443× | add-sqr-sqrt_binary64 |
| 434× | *-un-lft-identity_binary64 |
| 422× | add-log-exp_binary64 |
| 421× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 114 | 8 |
| 2 | 1186 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -1/2 (*.f64 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (-.f64 1 (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 555× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 445× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 105 |
| 1 | 16 | 87 |
| 2 | 27 | 87 |
| 3 | 51 | 87 |
| 4 | 114 | 87 |
| 5 | 356 | 87 |
| 6 | 1295 | 87 |
| 7 | 2191 | 87 |
| 8 | 2355 | 87 |
| 9 | 2539 | 87 |
| 10 | 2747 | 87 |
| 11 | 3045 | 87 |
| 12 | 3438 | 87 |
| 13 | 3921 | 87 |
| 14 | 4487 | 87 |
| 15 | 5175 | 87 |
| 16 | 6010 | 87 |
| 17 | 6402 | 87 |
| 18 | 6692 | 87 |
| 19 | 6970 | 87 |
| 20 | 7040 | 87 |
| 21 | 7076 | 87 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
Compiled 611 to 440 computations (28% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 1 | 59 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 59 | 3 | 62 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.7b | (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
| ✓ | 0.0b | (*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
| 29.2b | 1 |
Compiled 19 to 16 computations (15.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/2 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 432× | pow1_binary64 |
| 420× | add-sqr-sqrt_binary64 |
| 411× | *-un-lft-identity_binary64 |
| 401× | add-log-exp_binary64 |
| 401× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1148 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2471 | 84 |
| 10 | 2679 | 84 |
| 11 | 2976 | 84 |
| 12 | 3371 | 84 |
| 13 | 3852 | 84 |
| 14 | 4418 | 84 |
| 15 | 5102 | 84 |
| 16 | 5935 | 84 |
| 17 | 6327 | 84 |
| 18 | 6619 | 84 |
| 19 | 6895 | 84 |
| 20 | 6969 | 84 |
| 21 | 7003 | 84 |
| 22 | 7944 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
Compiled 173 to 124 computations (28.3% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 16 | 0 | 16 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 16 | 3 | 19 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.7b | (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
| ✓ | 0.0b | (*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
| 29.2b | 1 |
Compiled 19 to 16 computations (15.8% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.7b | (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
| ✓ | 0.0b | (*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
| 29.2b | 1 |
Compiled 19 to 16 computations (15.8% saved)
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
5 calls:
| 5.0ms | x |
| 2.0ms | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0b | 1 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0b | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0.0b | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 65 to 48 computations (26.2% saved)
Total -0.6b remaining (-2%)
Threshold costs -0.6b (-2%)
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 (*.f64 x x)) 1) |
(fma.f64 -1/2 (*.f64 x x) 1) |
| Outputs |
|---|
1 |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.2b | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 12 | 13 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
1 |
| Outputs |
|---|
(*.f64 2 (/.f64 1 (*.f64 2 (cosh.f64 x)))) |
1 |
Compiled 11 to 10 computations (9.1% saved)
Compiled 10 to 9 computations (10% saved)
Loading profile data...