Details

Time bar (total: 7.0s)

sample123.0ms

Algorithm
intervals
Results
50.0ms53×body1280valid
24.0ms38×body640valid
17.0ms129×body80valid
13.0ms30×body320valid
2.0ms6×body160valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2219
3259
done259

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

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))

rewrite61.0ms

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×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
22.0ms
(- (* x (cos y)) (* z (sin y)))
18.0ms
(* x (cos y))
19.0ms
(* z (sin y))

series240.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(- (* x (cos y)) (* z (sin y)))
49.0ms
(* x (cos y))
80.0ms
(* z (sin y))

simplify3.0s

Counts
65 → 65
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
092527
1191495
2441459
31134459
42551453
done5000453

prune333.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

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) (- (* (sin y) z)))
10.0ms
(* (sin y) z)

series181.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(fma x (cos y) (- (* (sin y) z)))
50.0ms
(* (sin y) z)

simplify2.7s

Counts
36 → 36
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
049281
186278
2221244
3492244
41357244
done5000244

prune189.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite29.0ms

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:
23.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series37.0ms