Details

Time bar (total: 21.0s)

sample45.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
5.0ms256×pre80true

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5002
62480
5841
4328
3143
262
128
012

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
prod-diff
add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- fma-neg diff-log add-cbrt-cube flip-- log1p-expm1-u sqr-pow
Counts
1 → 22
Calls
1 calls:
29.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series845.0ms

Counts
1 → 3
Calls
1 calls:
845.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify4.5s

Counts
25 → 25
Iterations
IterNodes
done5002
32373
2643
1219
093

prune194.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize99.0ms

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))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times
26×cbrt-div
21×prod-diff
14×associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down
associate-*r/
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
sub-neg fma-neg diff-log sqr-pow
cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 104
Calls
4 calls:
269.0ms
(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))))
29.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
30.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
29.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series3.6s

Counts
4 → 12
Calls
4 calls:
966.0ms
(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))))
860.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
1.0s
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
795.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify3.6s

Counts
116 → 116
Iterations
IterNodes
done5003
21696
1460
0190

prune978.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify6.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s8000×body80valid
330.0ms8000×pre80true