Details

Time bar (total: 1.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms305×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1157
2256
3386
4476
5546
6866
done866

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ z x) y x)

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:
0.0ms
(fma (+ z x) y x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (+ z x) y x)

simplify490.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
019116
130113
26395
324495
4103495
done500095

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
0.6b
(cbrt (fma (+ z x) y x))
0.6b
(cbrt (fma (+ z x) y x))
0.6b
(cbrt (fma (+ z x) y x))

rewrite10.0ms

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:
6.0ms
(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
0.0ms
(cbrt (fma (+ z x) y x))
0.0ms
(cbrt (fma (+ z x) y x))
1.0ms
(cbrt (fma (+ z x) y x))

series734.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
163.0ms
(cbrt (fma (+ z x) y x))
157.0ms
(cbrt (fma (+ z x) y x))
159.0ms
(cbrt (fma (+ z x) y x))

simplify233.0ms

Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
01001442
12371324
26761202