Details

Time bar (total: 20.4s)

sample34.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
5.0ms256×pre80true

simplify8.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
01215
14215
216714
378714
done500014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:
19.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series632.0ms

Counts
1 → 3
Calls
1 calls:
632.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify2.6s

Counts
25 → 25
Iterations

Useful iterations: done (2.6s)

IterNodesCost
093490
1826380
done5001354

prune89.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

series1.1s

Counts
2 → 6
Calls
2 calls:
555.0ms
(cbrt (pow (fma 9.0 (pow x 4.0) (- (pow y 4.0))) 3))
524.0ms
(fma 9.0 (pow x 4.0) (- (pow y 4.0)))

simplify5.4s

Counts
39 → 39
Iterations

Useful iterations: done (5.4s)

IterNodesCost
062666
1267502
22677482
done5000478

prune152.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01518
11718
done1718

end0.0ms

sample1.7s

Algorithm
intervals
Results
804.0ms8000×body80valid
622.0ms8000×pre80true