Details

Time bar (total: 3.0s)

sample93.0ms

Algorithm
intervals
Results
30.0ms32×body1280valid
24.0ms183×body80valid
19.0ms31×body640valid
2.0msbody160valid
2.0msbody320valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
089
1139
2218
3278
done278

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-log-exp
add-sqr-sqrt add-cube-cbrt fma-def
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
+-commutative flip3-+ sum-log flip-+ fma-udef distribute-lft-out
Counts
2 → 27
Calls
2 calls:
15.0ms
(+ x (sin y))
1.0ms
(fma (cos y) z (+ x (sin y)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (sin y))
96.0ms
(fma (cos y) z (+ x (sin y)))

simplify2.4s

Counts
33 → 33
Iterations

Useful iterations: 2 (521.0ms)

IterNodesCost
046251
199246
2216220
3569220
42262220
done5000220

prune163.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(cbrt (fma (cos y) z (+ x (sin y))))
0.5b
(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
2.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms
(cbrt (fma (cos y) z (+ x (sin y))))
22.0ms
(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))

series13.0ms