Details

Time bar (total: 3.1s)

sample84.0ms

Algorithm
intervals
Results
30.0ms145×body80valid
23.0ms45×body1280valid
14.0ms42×body640valid
4.0ms14×body320valid
1.0ms10×body160valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
2199
done199

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
21.0ms
(- (* x (cos y)) (* z (sin y)))
18.0ms
(* x (cos y))
20.0ms
(* z (sin y))

series275.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(- (* x (cos y)) (* z (sin y)))
70.0ms
(* x (cos y))
93.0ms
(* z (sin y))

simplify2.4s

Counts
57 → 57
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
082464
1175436
2392402
3937402
42101402
done5001402

prune215.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite41.0ms

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*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
32.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series32.0ms