Details

Time bar (total: 19.8s)

sample128.0ms

Algorithm
intervals
Results
42.0ms45×body1280valid
27.0ms45×body640valid
17.0ms123×body80valid
13.0ms30×body320valid
4.0ms13×body160valid

simplify15.0ms

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

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.2b
(* z (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
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
12.0ms
(- (* x (cos y)) (* z (sin y)))
32.0ms
(* x (cos y))
19.0ms
(* z (sin y))

series225.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(- (* x (cos y)) (* z (sin y)))
58.0ms
(* x (cos y))
62.0ms
(* z (sin y))

simplify2.8s

Counts
57 → 57
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
082464
1175436
2392402
3937402
42101402
done5001402

prune258.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite22.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
15.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series676.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
187.0ms
(cbrt (sin y))
169.0ms
(cbrt (sin y))
146.0ms
(cbrt (sin y))

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: done (3.2s)

IterNodesCost
075710
1156628
2405534
31260512
done5001507

prune407.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b
(cbrt (* z (sin y)))
6.4b
(cbrt (* z (sin y)))
6.4b
(cbrt (* z (sin y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
28.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
10.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
9.0ms
(cbrt (* z (sin y)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
186.0ms
(cbrt (* z (sin y)))
176.0ms
(cbrt (* z (sin y)))
159.0ms
(cbrt (* z (sin y)))

simplify3.3s

Counts
70 → 70
Iterations

Useful iterations: done (3.3s)

IterNodesCost
087790
1189713
2460629
31192540
43815482
done5001448

prune353.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt z)
6.4b
(cbrt (* z (sin y)))
6.4b
(cbrt (* z (sin y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
3.0ms
(cbrt (sin y))
2.0ms
(cbrt z)
9.0ms
(cbrt (* z (sin y)))
9.0ms
(cbrt (* z (sin y)))

series757.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (sin y))
273.0ms
(cbrt z)
168.0ms
(cbrt (* z (sin y)))
193.0ms
(cbrt (* z (sin y)))

simplify2.0s

Counts
52 → 52
Iterations

Useful iterations: done (2.0s)

IterNodesCost
081383
1161371
2328334
3775298
42465284
done5002281

prune260.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes277.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
11923
done1923

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.4s1519×body1280valid
1.2s1197×body640valid
671.0ms4369×body80valid
297.0ms600×body320valid
92.0ms315×body160valid