Details

Time bar (total: 6.3s)

sample33.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
12715
25515
312115
429615
5154215
done500115

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize15.0ms

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
add-log-exp
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))

series614.0ms

Counts
1 → 3
Calls
1 calls:
614.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify903.0ms

Counts
15 → 15
Iterations

Useful iterations: 3 (276.0ms)

IterNodesCost
045216
1110209
2330187
31376185
done5000185

prune86.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize34.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
add-log-exp
unpow-prod-down cube-prod
cube-div pow1 cbrt-div flip3-- add-cbrt-cube add-exp-log flip--
cube-mult sub-neg pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 35
Calls
2 calls:
13.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
9.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series1.2s

Counts
2 → 6
Calls
2 calls:
594.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
585.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify742.0ms

Counts
41 → 41
Iterations

Useful iterations: done (739.0ms)

IterNodesCost
079780
1208632
21068575
done5000571

prune198.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11818
done1818

end0.0ms

sample1.3s

Algorithm
intervals
Results
804.0ms8000×body80valid
191.0ms8000×pre80true