Details

Time bar (total: 10.0s)

sample38.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5001
51542
4296
3121
255
127
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize35.0ms

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))

series581.0ms

Counts
1 → 3
Calls
1 calls:
581.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify1.4s

Counts
15 → 15
Iterations
IterNodes
done5000
31376
2330
1110
045

prune94.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize28.0ms

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))

rewrite143.0ms

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:
112.0ms
(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))
10.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
9.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series2.4s

Counts
4 → 12
Calls
4 calls:
613.0ms
(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))))
607.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
583.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
592.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
done5002
21330
1319
0140

prune527.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify5.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.5s

Algorithm
intervals
Results
678.0ms8000×pre80true
659.0ms8000×body80valid