Details

Time bar (total: 11.8s)

sample31.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms256×pre80true

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
012625
128625
263600
3145600
4366600
51722600
done5001600

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×prod-diff
3×add-sqr-sqrt unpow-prod-down *-un-lft-identity add-cube-cbrt add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube fma-neg diff-log add-exp-log log1p-expm1-u flip-- sqr-pow
Counts
1 → 22
Calls
1 calls:
27.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series741.0ms

Counts
1 → 3
Calls
1 calls:
741.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify1.3s

Counts
25 → 25
Iterations

Useful iterations: done (1.3s)

IterNodesCost
09318694
122617234
288416120
done500114860

prune153.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize47.0ms

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))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times
26×cbrt-div
21×prod-diff
14×associate-*l/
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
9×unpow-prod-down
8×associate-*r/
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×sub-neg fma-neg diff-log sqr-pow
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 104
Calls
4 calls:
173.0ms
(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))))
15.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
11.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
10.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series2.5s

Counts
4 → 12
Calls
4 calls:
571.0ms
(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))))
683.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
609.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))
652.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify2.9s

Counts
116 → 116
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0190113246
1469101717
2248197598
done500091498

prune652.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify4.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014760
117760
done17760

end0.0ms

sample1.1s

Algorithm
intervals
Results
739.0ms8000×body80valid
142.0ms8000×pre80true