Details

Time bar (total: 6.8s)

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms256×pre80true

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
12715
25515
312115
429615
5153915
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
16.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series591.0ms

Counts
1 → 3
Calls
1 calls:
591.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify1.0s

Counts
15 → 15
Iterations

Useful iterations: 3 (294.0ms)

IterNodesCost
045216
1111209
2330187
31387185
done5000185

prune54.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize32.0ms

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))

rewrite52.0ms

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:
27.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
24.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series1.2s

Counts
2 → 6
Calls
2 calls:
619.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
629.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify872.0ms

Counts
41 → 41
Iterations

Useful iterations: done (869.0ms)

IterNodesCost
079780
1209632
21077575
done5000571

prune141.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01518
11818
done1818

end0.0ms

sample1.3s

Algorithm
intervals
Results
745.0ms8000×body80valid
215.0ms8000×pre80true