Details

Time bar (total: 998.0ms)

analyze3.0ms

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

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
4.0ms256×pre80true

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0478615
1478615

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: 62.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

62.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg add-log-exp
2×associate--r+
1×pow1 add-exp-log distribute-rgt-in add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity distribute-lft-in diff-log add-cbrt-cube flip--
Counts
1 → 13
Calls
1 calls:
4.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05454328

prune39.0ms

Filtered
15 candidates to 16 candidates (-6.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New15116
Fresh000
Picked101
Done000
Total16117

Merged error: 52.0b

Counts
17 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4)) (pow y 4))

rewrite5.0ms

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:
5.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

simplify33.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05081165

prune30.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New13114
Fresh000
Picked101
Done000
Total14115

Merged error: 52.0b

Counts
15 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
23.0b
(- (* 9.0 (pow x 4)) (pow y 4))

rewrite12.0ms

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:
6.0ms
(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
5.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
9.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

simplify23.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05336542

prune71.0ms

Filtered
26 candidates to 40 candidates (-53.8%)
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
01918
11918

end0.0ms

analyze2.0ms

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

sample546.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid
139.0ms8000×pre80true

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