Details

Time bar (total: 8.4s)

sample97.0ms

Algorithm
intervals
Results
36.0ms45×body1280valid
22.0ms42×body640valid
17.0ms145×body80valid
5.0ms14×body320valid
2.0ms10×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1128
2158
done158

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
0.0ms
(fma x (cos y) (* z (sin y)))
10.0ms
(* z (sin y))

series217.0ms

Counts
2 → 6
Calls
2 calls:
133.0ms
(fma x (cos y) (* z (sin y)))
83.0ms
(* z (sin y))

simplify3.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
049269
183264
2165232
3321232
4755232
53025232
done5000232

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:
11.0ms
(+ (* x (cos y)) (* z (sin y)))
20.0ms
(* x (cos y))
29.0ms
(* z (sin y))

series199.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (* x (cos y)) (* z (sin y)))
53.0ms
(* x (cos y))
57.0ms
(* z (sin y))

simplify3.7s

Counts
63 → 63
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
087494
1196449
2503417
31307417
43735417
done5000417

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite26.0ms

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:
19.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series0.0ms