Details

Time bar (total: 1.2s)

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
4.0ms256×pre80true

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
0478515
1478515

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 52.0b

Counts
2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04855188
14855188

prune32.0ms

Filtered
13 candidates to 14 candidates (-7.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New13114
Fresh000
Picked101
Done000
Total14115

Merged error: 52.0b

Counts
15 → 1

localize15.0ms

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))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×unpow-prod-down cube-prod
2×pow1 add-exp-log cube-div cbrt-div flip3-- add-cbrt-cube flip--
1×cube-mult sub-neg pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 34
Calls
2 calls:
7.0ms
(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))

series150.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
76.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04928577
14928577

prune76.0ms

Filtered
30 candidates to 40 candidates (-33.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done000
Total40141

Merged error: 52.0b

Counts
41 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample601.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid
134.0ms8000×pre80true

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