Details

Time bar (total: 26.6s)

sample54.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
7.0ms256×pre80true

simplify5.8s

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize67.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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 insert-posit16 flip--
Counts
1 → 13
Calls
1 calls:
22.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series904.0ms

Counts
1 → 3
Calls
1 calls:
904.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify8.4s

Counts
16 → 16
Iterations
IterNodes
done5002
44037
31021
2323
1111
046

prune253.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize167.0ms

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))

rewrite430.0ms

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 insert-posit16
3×sub-neg diff-log
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 76
Calls
4 calls:
292.0ms
(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))))
30.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
46.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
46.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series3.8s

Counts
4 → 12
Calls
4 calls:
845.0ms
(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))))
981.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
1.1s
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
935.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify3.8s

Counts
88 → 88
Iterations
IterNodes
done5013
21278
1315
0142

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify12.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s8000×body80valid
262.0ms8000×pre80true