Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms323×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (* y z) z 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 (* y z) z x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (* y z) z x)

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
019104
132102
27590
316790
450590
5171290
done500090

prune35.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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 (* y z) z x)) (cbrt (fma (* y z) z x)))
0.0ms
(cbrt (fma (* y z) z x))
0.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))

series648.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
163.0ms
(cbrt (fma (* y z) z x))
159.0ms
(cbrt (fma (* y z) z x))
166.0ms
(cbrt (fma (* y z) z x))

simplify218.0ms

Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0991437
12201325
26291215