Details

Time bar (total: 3.6s)

sample115.0ms

Algorithm
intervals
Results
43.0ms45×body1280valid
25.0ms42×body640valid
20.0ms145×body80valid
6.0ms14×body320valid
3.0ms10×body160valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2219
3259
done259

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
expm1-log1p-u log1p-expm1-u
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
11.0ms
(- (* x (cos y)) (* z (sin y)))
15.0ms
(* x (cos y))
37.0ms
(* z (sin y))

series232.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(- (* x (cos y)) (* z (sin y)))
75.0ms
(* x (cos y))
51.0ms
(* z (sin y))

simplify2.8s

Counts
65 → 65
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
092527
1191495
2441459
31134459
42551453
done5000453

prune248.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite25.0ms

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:
14.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
6.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series34.0ms