Details

Time bar (total: 15.0s)

sample77.0ms

Algorithm
intervals
Results
36.0ms41×body1280valid
12.0ms39×body640valid
10.0ms140×body80valid
6.0ms26×body320valid
1.0ms10×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
08243
112218
215218
done15218

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x (sin y) (* z (cos y)))
11.0ms
(* z (cos y))

series198.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(fma x (sin y) (* z (cos y)))
67.0ms
(* z (cos y))

simplify7.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
0496878
1906717
22106692
36116612
421196612
done50056612

prune237.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma z (cos y) (* x (sin y)))
7.0ms
(* x (sin y))

series201.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(fma z (cos y) (* x (sin y)))
70.0ms
(* x (sin y))

simplify6.2s

Counts
36 → 36
Iterations

Useful iterations: 3 (240.0ms)

IterNodesCost
0486837
1886676
22076676
36176596
420036596
done50066596

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
11.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series673.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
154.0ms
(cbrt (cos y))
122.0ms
(cbrt (cos y))
145.0ms
(cbrt (cos y))

simplify33.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
06824811