Details

Time bar (total: 11.1s)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
5.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01215
12815
26314
314414
434314
581014
6236414
done500014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:
14.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series703.0ms

Counts
1 → 3
Calls
1 calls:
703.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify3.3s

Counts
25 → 25
Iterations

Useful iterations: done (3.3s)

IterNodesCost
093490
1209393
2622340
32821318
done5000288

prune97.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cube-mult pow1/3 unpow3 rem-cbrt-cube fma-udef sqr-pow
Counts
2 → 33
Calls
2 calls:
5.0ms
(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4.0))) 3))
1.0ms
(fma (pow x 4.0) 9.0 (- (pow y 4.0)))

series1.1s

Counts
2 → 6
Calls
2 calls:
540.0ms
(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4.0))) 3))
543.0ms
(fma (pow x 4.0) 9.0 (- (pow y 4.0)))

simplify1.4s

Counts
39 → 39
Iterations

Useful iterations: done (1.4s)

IterNodesCost
062666
1116537
2272488
3938482
done5001474

prune154.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01518
11718
done1718

end0.0ms

sample1.3s

Algorithm
intervals
Results
802.0ms8000×body80valid
268.0ms8000×pre80true