Details

Time bar (total: 1.3s)

analyze3.0ms (0.2%)

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

sample19.0ms (1.5%)

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true

simplify81.0ms (6.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
0487015
1487015

prune6.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 62.0b

Counts
2 → 1

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
sub-neg add-log-exp
associate--r+
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:

5.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series40.0ms (3%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify52.0ms (4%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04937327
14937327

prune38.0ms (2.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New15116
Fresh000
Picked101
Done000
Total16117

Merged error: 52.0b

Counts
17 → 1

localize11.0ms (0.9%)

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4))

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp
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 4.0)) (pow y 4))

series91.0ms (7.1%)

Counts
1 → 3
Calls

1 calls:

91.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify43.0ms (3.3%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04851182
14851182

prune37.0ms (2.9%)

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 (1.2%)

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4))

rewrite14.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
unpow-prod-down cube-prod
pow1 add-exp-log cube-div cbrt-div flip3-- add-cbrt-cube flip--
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)) 3))
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

series151.0ms (11.6%)

Counts
2 → 6
Calls

2 calls:

75.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
75.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify44.0ms (3.4%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04935576
14935576

prune107.0ms (8.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done000
Total40141

Merged error: 52.0b

Counts
41 → 1

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014418
114418

end0.0ms (0%)

sample523.0ms (40.3%)

Algorithm
intervals
Results
299.0ms8000×body80valid
138.0ms8000×pre80true

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