Details

Time bar (total: 1.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms256×pre80true

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
0487015
1487015

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)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×associate--r+
3×sub-neg add-log-exp
2×distribute-rgt-in distribute-lft-in
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 16
Calls
1 calls:
9.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04937354
14937354

prune37.0ms

Filtered
15 candidates to 19 candidates (-26.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New18119
Fresh000
Picked101
Done000
Total19120

Merged error: 52.0b

Counts
20 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

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

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 → 12
Calls
1 calls:
5.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify39.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04851186
14851186

prune32.0ms

Filtered
13 candidates to 15 candidates (-15.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New14115
Fresh000
Picked101
Done000
Total15116

Merged error: 52.0b

Counts
16 → 1

localize15.0ms

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))

rewrite15.0ms

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 → 35
Calls
2 calls:
6.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

series139.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
69.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify42.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04935580
14935580

prune78.0ms

Filtered
30 candidates to 41 candidates (-36.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done000
Total41142

Merged error: 52.0b

Counts
42 → 1

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014418
114418

end0.0ms

sample653.0ms

Algorithm
intervals
Results
318.0ms8000×body80valid
135.0ms8000×pre80true

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