Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
4.0ms256×pre80true

simplify96.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
12.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series447.0ms

Counts
1 → 3
Calls
1 calls:
447.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify49.0ms

Counts
15 → 15

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize22.0ms

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))

rewrite30.0ms

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:
17.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
12.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series906.0ms

Counts
2 → 6
Calls
2 calls:
465.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
440.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify114.0ms

Counts
41 → 41

prune105.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.0ms

end0.0ms

sample914.0ms

Algorithm
intervals
Results
582.0ms8000×body80valid
112.0ms8000×pre80true