Details

Time bar (total: 4.9s)

sample68.0ms

Algorithm
intervals
Results
33.0ms399×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01111
11910
2359
3459
done459

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma a b (fma x y (* z t)))
0.0b
(fma x y (* z t))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma a b (fma x y (* z t)))
1.0ms
(fma x y (* z t))

series176.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(fma a b (fma x y (* z t)))
56.0ms
(fma x y (* z t))

simplify1.6s

Counts
26 → 26
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
034248
148242
298224
3370212
41916212
done5000212

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma a b (* x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma a b (* x y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma a b (* x y))

simplify2.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
018102
122100
24788
316088
453088
5253488
done500088

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma a b (* x y))) (cbrt (fma a b (* x y))))
2.2b
(cbrt (fma a b (* x y)))
2.2b
(cbrt (fma a b (* x y)))
2.2b
(cbrt (fma a b (* x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt (fma a b (* x y))) (cbrt (fma a b (* x y))))
2.0ms
(cbrt (fma a b (* x y)))
2.0ms
(cbrt (fma a b (* x y)))
2.0ms
(cbrt (fma a b (* x y)))

series12.0ms