Details

Time bar (total: 16.5s)

sample34.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
4.0ms256×pre80true

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012625
127625
254625
3119625
4269625
5747625
62344625
done5001625

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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

series574.0ms

Counts
1 → 3
Calls
1 calls:
574.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify4.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
0459366
11108995
23228473
310348473
441738473
done50058473

prune116.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize35.0ms

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))

rewrite151.0ms

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:
119.0ms
(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))))
9.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
9.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
11.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series2.4s

Counts
4 → 12
Calls
4 calls:
628.0ms
(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))))
658.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
536.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
584.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify2.8s

Counts
84 → 84
Iterations

Useful iterations: done (2.8s)

IterNodesCost
014083774
131375502
2127973294
done500071534

prune556.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
015785
119785
done19785

end0.0ms

sample1.3s

Algorithm
intervals
Results
831.0ms8000×body80valid
241.0ms8000×pre80true