Details

Time bar (total: 2.5s)

sample29.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
3.0ms256×pre80true

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0287
1636
21466
33626
410206
536186
650016

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize10.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×prod-diff
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- fma-neg diff-log add-cbrt-cube flip-- log1p-expm1-u sqr-pow
Counts
1 → 22
Calls
1 calls:
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series409.0ms

Counts
1 → 3
Calls
1 calls:
409.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify129.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0212220
1758177
24486169
35001168

prune57.0ms

Filtered
25 candidates to 19 candidates (76.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize13.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-diff
6×unpow-prod-down
4×add-log-exp
3×cube-prod
2×pow1 add-exp-log cube-div expm1-log1p-u cbrt-div flip3-- add-cbrt-cube flip-- log1p-expm1-u sqr-pow
1×cube-mult sub-neg fma-neg pow1/3 diff-log unpow3 rem-cbrt-cube
Counts
2 → 47
Calls
2 calls:
8.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series819.0ms

Counts
2 → 6
Calls
2 calls:
407.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
412.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0291434
11119398
25002396

prune322.0ms

Filtered
53 candidates to 38 candidates (71.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample561.0ms

Algorithm
intervals
Results
334.0ms8000×body80valid
94.0ms8000×pre80true