Details

Time bar (total: 4.6s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify927.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
12715
25415
311815
427415
570715
6201215
done500015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.0b

Counts
2 → 1

localize10.0ms

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
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 → 12
Calls
1 calls:
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify1.5s

Counts
15 → 15
Iterations

Useful iterations: 4 (510.0ms)

IterNodesCost
057234
1144224
2388198
31199193
44577192
done5000192

prune44.0ms

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

localize14.0ms

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
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 → 35
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))

series170.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
85.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify932.0ms

Counts
41 → 41
Iterations

Useful iterations: 3 (231.0ms)

IterNodesCost
091816
1229662
2670597
32929587
done5000587

prune88.0ms

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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11818
done1818

end0.0ms

sample729.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid
152.0ms8000×pre80true

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