Details

Time bar (total: 8.5s)

sample76.0ms

Algorithm
intervals
Results
27.0ms44×body1280valid
17.0ms43×body640valid
13.0ms145×body80valid
5.0ms14×body320valid
2.0ms10×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1128
2158
done158

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* x (sin y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
22.0ms
(+ (* x (sin y)) (* z (cos y)))
18.0ms
(* z (cos y))
22.0ms
(* x (sin y))

series220.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(+ (* x (sin y)) (* z (cos y)))
44.0ms
(* z (cos y))
70.0ms
(* x (sin y))

simplify3.8s

Counts
63 → 63
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
088498
1198453
2506420
31314420
43746420
done5000420

prune239.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
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:
1.0ms
(fma x (sin y) (* z (cos y)))
19.0ms
(* z (cos y))

series167.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma x (sin y) (* z (cos y)))
59.0ms
(* z (cos y))

simplify3.5s

Counts
36 → 36
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
050271
185266
2167237
3324233
4757233
53020233
done5000233

prune245.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:
27.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series59.0ms