Time bar (total: 2.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
Compiled 27 to 22 computations (18.5% saved)
| 2.3s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 955× | fma-def_binary64 |
| 377× | sub-neg_binary64 |
| 267× | distribute-neg-in_binary64 |
| 151× | associate-+l-_binary64 |
| 151× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 35 | 19 |
| 2 | 115 | 17 |
| 3 | 354 | 15 |
| 4 | 1273 | 7 |
| 5 | 3641 | 7 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000)))) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000)))) |
(fma.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 -1 (*.f64 -2 (*.f64 t 1/5000000000000000)))) |
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (-.f64 -1 (*.f64 t 1/2500000000000000))) |
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1)) |
(fma.f64 t -1/2500000000000000 (*.f64 (*.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2))) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
Compiled 20 to 17 computations (15% saved)
| 1× | egg-herbie |
| 955× | fma-def_binary64 |
| 377× | sub-neg_binary64 |
| 267× | distribute-neg-in_binary64 |
| 151× | associate-+l-_binary64 |
| 151× | associate--r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 35 | 19 |
| 2 | 115 | 17 |
| 3 | 354 | 15 |
| 4 | 1273 | 7 |
| 5 | 3641 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000)))) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000)))) |
(fma.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 -1 (*.f64 -2 (*.f64 t 1/5000000000000000)))) |
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (-.f64 -1 (*.f64 t 1/2500000000000000))) |
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1)) |
(fma.f64 t -1/2500000000000000 (*.f64 (*.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2))) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
Compiled 25 to 20 computations (20% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.4b | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
Compiled 12 to 8 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| ✓ | 0.4b | (*.f64 t 1/25000000000000000000000000000000) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| 1.0ms | t | @ | -inf | (*.f64 t 1/25000000000000000000000000000000) |
| 1.0ms | t | @ | 0 | (*.f64 t 1/25000000000000000000000000000000) |
| 1.0ms | t | @ | inf | (*.f64 t 1/25000000000000000000000000000000) |
| 0.0ms | t | @ | inf | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| 1× | batch-egg-rewrite |
| 445× | pow1_binary64 |
| 414× | add-log-exp_binary64 |
| 414× | log1p-expm1-u_binary64 |
| 414× | expm1-log1p-u_binary64 |
| 406× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 102 | 11 |
| 2 | 1142 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 t 1/25000000000000000000000000000000) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))))) |
| 1× | egg-herbie |
| 605× | sqr-pow_binary64 |
| 441× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
| 281× | cube-prod_binary64 |
| 273× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 132 |
| 1 | 14 | 132 |
| 2 | 23 | 132 |
| 3 | 42 | 132 |
| 4 | 105 | 132 |
| 5 | 315 | 132 |
| 6 | 1204 | 132 |
| 7 | 2080 | 132 |
| 8 | 2244 | 132 |
| 9 | 2428 | 132 |
| 10 | 2636 | 132 |
| 11 | 2925 | 132 |
| 12 | 3318 | 132 |
| 13 | 3796 | 132 |
| 14 | 4359 | 132 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| Outputs |
|---|
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 t) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 1/25000000000000000000000000000000 t)) |
Compiled 203 to 151 computations (25.6% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 6 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 21 | 7 | 28 |
| Status | Error | Program |
|---|---|---|
| 0.7b | (*.f64 t (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2)) | |
| ✓ | 0.4b | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| 0.6b | (cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))) | |
| 1.8b | (*.f64 t (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)) | |
| 0.6b | (*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))) | |
| 0.5b | (pow.f64 (*.f64 t 1/5000000000000000) 2) | |
| ▶ | 0.4b | (*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
Compiled 106 to 84 computations (20.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| 0.0ms | t | @ | inf | (*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| 0.0ms | t | @ | -inf | (*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| 1× | batch-egg-rewrite |
| 477× | pow1_binary64 |
| 445× | add-log-exp_binary64 |
| 445× | log1p-expm1-u_binary64 |
| 445× | expm1-log1p-u_binary64 |
| 436× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1268 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 81 to 53 computations (34.6% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 8 | 3 | 11 |
| Fresh | 5 | 0 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 13 | 5 | 18 |
| Status | Error | Program |
|---|---|---|
| 1.8b | (pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 3) | |
| ✓ | 0.4b | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| ▶ | 0.2b | (sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| 0.5b | (pow.f64 (*.f64 t 1/5000000000000000) 2) | |
| ✓ | 0.4b | (*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
Compiled 56 to 45 computations (19.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| ✓ | 0.3b | (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) |
| 1.0ms | t | @ | 0 | (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) |
| 0.0ms | t | @ | -inf | (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) |
| 0.0ms | t | @ | inf | (sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| 0.0ms | t | @ | 0 | (sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| 1× | batch-egg-rewrite |
| 573× | pow1_binary64 |
| 539× | add-log-exp_binary64 |
| 539× | log1p-expm1-u_binary64 |
| 539× | expm1-log1p-u_binary64 |
| 526× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 148 | 14 |
| 2 | 1558 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) |
(sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/625000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t t)) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))))) |
| 1× | egg-herbie |
| 616× | sqr-pow_binary64 |
| 396× | associate-*l*_binary64 |
| 342× | unswap-sqr_binary64 |
| 327× | pow-sqr_binary64 |
| 298× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 168 |
| 1 | 19 | 168 |
| 2 | 39 | 168 |
| 3 | 90 | 168 |
| 4 | 285 | 168 |
| 5 | 1158 | 168 |
| 6 | 1908 | 168 |
| 7 | 2032 | 168 |
| 8 | 2201 | 168 |
| 9 | 2400 | 168 |
| 10 | 2673 | 168 |
| 11 | 3032 | 168 |
| 12 | 3483 | 168 |
| 13 | 4005 | 168 |
| 14 | 4635 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| Outputs |
|---|
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
Compiled 317 to 237 computations (25.2% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 1 | 39 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 40 | 4 | 44 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (sqrt.f64 (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) |
| ✓ | 0.2b | (sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| 0.5b | (pow.f64 (*.f64 t 1/5000000000000000) 2) | |
| ✓ | 0.4b | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
Compiled 41 to 34 computations (17.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) |
| ✓ | 0.4b | (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) |
| 1.0ms | t | @ | inf | (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) |
| 0.0ms | t | @ | -inf | (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) |
| 0.0ms | t | @ | 0 | (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) |
| 0.0ms | t | @ | inf | (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) |
| 1× | batch-egg-rewrite |
| 650× | pow1_binary64 |
| 610× | add-log-exp_binary64 |
| 610× | log1p-expm1-u_binary64 |
| 610× | expm1-log1p-u_binary64 |
| 73× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 168 | 23 |
| 2 | 1783 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) |
(sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) |
(sqrt.f64 (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 16) 1/152587890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 16) 1/152587890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow.f64 t 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))) (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))) (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4) (*.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4) (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 4) (pow.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))) (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4)) (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 t 16) 1/152587890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/2) (pow.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 t 16) 1/152587890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))) (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))) (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))) (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4) (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) (pow.f64 (pow.f64 t 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 (pow.f64 t 4))))))))) |
| 1× | egg-herbie |
| 616× | sqr-pow_binary64 |
| 396× | associate-*l*_binary64 |
| 342× | unswap-sqr_binary64 |
| 327× | pow-sqr_binary64 |
| 298× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 168 |
| 1 | 19 | 168 |
| 2 | 39 | 168 |
| 3 | 90 | 168 |
| 4 | 285 | 168 |
| 5 | 1158 | 168 |
| 6 | 1908 | 168 |
| 7 | 2032 | 168 |
| 8 | 2201 | 168 |
| 9 | 2400 | 168 |
| 10 | 2673 | 168 |
| 11 | 3032 | 168 |
| 12 | 3483 | 168 |
| 13 | 4005 | 168 |
| 14 | 4635 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
| Outputs |
|---|
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 1/25000000000000000000000000000000 (*.f64 t t)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
Compiled 699 to 612 computations (12.4% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 2 | 68 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 68 | 4 | 72 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
| ✓ | 0.4b | (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
| 0.4b | (sqrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 t 16) 1/152587890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))))) | |
| 0.1b | (pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/4) |
Compiled 38 to 32 computations (15.8% saved)
Total -61.7b remaining (-46464.3%)
Threshold costs -61.7b (-46464.3%)
| Inputs |
|---|
(sqrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 t 16) 1/152587890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))))) |
(pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/4) |
(sqrt.f64 (sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)))) |
(pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 3) |
(sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000)) |
(pow.f64 (*.f64 t 1/5000000000000000) 2) |
(*.f64 t (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 2)) |
(cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))) |
(*.f64 t (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)) |
(*.f64 t (cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))) |
(pow.f64 (*.f64 t 1/5000000000000000) 2) |
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2)) |
(*.f64 t (*.f64 t 1/25000000000000000000000000000000)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000)))) |
| Outputs |
|---|
(pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/4) |
| Time | Error | Segments | Branch |
| 8.0ms | 0.1b | 1 | t |
| 2.0ms | 0.1b | 1 | (+.f64 (*.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) (+.f64 1 (*.f64 t 1/5000000000000000))) (-.f64 -1 (*.f64 2 (*.f64 t 1/5000000000000000)))) |
| 8.0ms | 0.1b | 1 | (*.f64 t 1/5000000000000000) |
| 8.0ms | 0.1b | 1 | (*.f64 t 1/5000000000000000) |
Compiled 148 to 119 computations (19.6% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 9 | 10 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/4) |
| Outputs |
|---|
(pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 8)) 1/4) |
| 1× | fuel |
Compiled 16 to 14 computations (12.5% saved)
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