Details

Time bar (total: 1.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms476×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
182
282

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 14
Calls
1 calls:
3.0ms
(+ (* x x) (* y y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ (* x x) (* y y))

simplify47.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
010974
151164
2142761
3500160

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
6.2b
(cbrt (+ (* x x) (* y y)))
6.2b
(cbrt (+ (* x x) (* y y)))
6.2b
(cbrt (+ (* x x) (* y y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
19.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
2.0ms
(cbrt (+ (* x x) (* y y)))
2.0ms
(cbrt (+ (* x x) (* y y)))
2.0ms
(cbrt (+ (* x x) (* y y)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
104.0ms
(cbrt (+ (* x x) (* y y)))
95.0ms
(cbrt (+ (* x x) (* y y)))
93.0ms
(cbrt (+ (* x x) (* y y)))

simplify138.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02331028
11003960
24312899
35001899

prune224.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample496.0ms

Algorithm
intervals
Results
264.0ms14369×body80valid