Details

Time bar (total: 13.4s)

sample46.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
12.0ms256×pre80true

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5001
62344
5747
4269
3119
254
127
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
10.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series571.0ms

Counts
1 → 3
Calls
1 calls:
571.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify3.4s

Counts
15 → 15
Iterations
IterNodes
done5005
44173
31034
2322
1110
045

prune97.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0))))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times
26×cbrt-div
14×associate-*l/
10×add-log-exp
8×associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×sub-neg diff-log
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 72
Calls
4 calls:
187.0ms
(cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0))))
18.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
18.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
25.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series2.5s

Counts
4 → 12
Calls
4 calls:
663.0ms
(cbrt (* (* (- (* 9.0 (pow x 4.0)) (pow y 4.0)) (- (* 9.0 (pow x 4.0)) (pow y 4.0))) (- (* 9.0 (pow x 4.0)) (pow y 4.0))))
620.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
632.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
624.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify1.8s

Counts
84 → 84
Iterations
IterNodes
done5000
21279
1313
0140

prune552.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify3.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
776.0ms8000×body80valid
236.0ms8000×pre80true