Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1587
21567
33257
47307
523927
650017

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
42×unswap-sqr
24×difference-of-squares
13×*-un-lft-identity
9×associate-*l*
6×unpow-prod-down distribute-lft-out-- sqr-pow
4×swap-sqr *-commutative associate--r+
3×sub-neg add-log-exp
2×distribute-rgt-in distribute-lft-in
1×pow1 add-exp-log add-cube-cbrt flip3-- diff-log add-cbrt-cube flip--
Counts
1 → 46
Calls
1 calls:
49.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series176.0ms

Counts
1 → 3
Calls
1 calls:
176.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify139.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0244682
1743661
23432659
35002659

prune65.0ms

Filtered
49 candidates to 26 candidates (46.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New48149
Fresh000
Picked101
Done000
Total49150

Merged error: 52.0b

Counts
50 → 1

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
5×add-log-exp
4×distribute-lft-out
2×distribute-rgt-neg-in associate-*l* sum-log
1×pow1 add-exp-log +-commutative neg-sub0 add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ unsub-neg neg-log add-cbrt-cube flip-+
Counts
1 → 19
Calls
1 calls:
24.0ms
(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

series422.0ms

Counts
1 → 3
Calls
1 calls:
422.0ms
(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

simplify116.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0132138
1521121
22632116
35002116

prune35.0ms

Filtered
22 candidates to 15 candidates (31.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New21122
Fresh000
Picked101
Done000
Total22123

Merged error: 52.0b

Counts
23 → 1

localize21.0ms

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))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
31×unpow-prod-down
24×difference-of-squares
22×cbrt-prod
18×unswap-sqr
15×sqr-pow
13×*-un-lft-identity
4×add-cube-cbrt distribute-lft-out-- add-log-exp
2×pow1 add-exp-log associate-*l* add-cbrt-cube rem-cbrt-cube
1×sub-neg pow-unpow flip3-- pow1/3 diff-log unpow3 flip--
Counts
2 → 58
Calls
2 calls:
16.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
15.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

series881.0ms

Counts
2 → 6
Calls
2 calls:
443.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
438.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify54.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0365559
11326555
25002536

prune127.0ms

Filtered
64 candidates to 44 candidates (31.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New63164
Fresh000
Picked101
Done000
Total64165

Merged error: 0b

Counts
65 → 1

localize20.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02417
12817
23217
33217

end0.0ms

sample540.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
106.0ms8000×pre80true