Details

Time bar (total: 7.1s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms256×pre80true

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01215
12815
26214
314314
433714
584814
6252714
done500114

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series416.0ms

Counts
1 → 3
Calls
1 calls:
416.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify2.8s

Counts
25 → 25
Iterations

Useful iterations: done (2.8s)

IterNodesCost
093490
1219393
2735340
33738318
done5001317

prune63.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize15.0ms

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)))

rewrite3.0ms

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:
1.0ms
(cbrt (pow (fma 9.0 (pow x 4.0) (- (pow y 4.0))) 3))
0.0ms
(fma 9.0 (pow x 4.0) (- (pow y 4.0)))

series664.0ms

Counts
2 → 6
Calls
2 calls:
335.0ms
(cbrt (pow (fma 9.0 (pow x 4.0) (- (pow y 4.0))) 3))
328.0ms
(fma 9.0 (pow x 4.0) (- (pow y 4.0)))

simplify579.0ms

Counts
39 → 39
Iterations

Useful iterations: 3 (161.0ms)

IterNodesCost
062666
1123537
2329488
31129482
done5000482

prune108.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11517
done1517

end0.0ms

sample568.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid
100.0ms8000×pre80true