Details

Time bar (total: 14.7s)

sample97.0ms

Algorithm
intervals
Results
33.0ms47×body1280valid
18.0ms40×body640valid
14.0ms138×body80valid
9.0ms24×body320valid
2.0ms7×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

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×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
47.0ms
(+ (* x (sin y)) (* z (cos y)))
18.0ms
(* z (cos y))
20.0ms
(* x (sin y))

series210.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(+ (* x (sin y)) (* z (cos y)))
61.0ms
(* z (cos y))
47.0ms
(* x (sin y))

simplify2.9s

Counts
56 → 56
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
082458
1196430
2634396
33411396
done5001396

prune188.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))

series754.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (cos y))
142.0ms
(cbrt (cos y))
157.0ms
(cbrt (cos y))
268.0ms
(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
064686
1146615
2626521
done5000507

prune367.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
29×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 → 74
Calls
4 calls:
1.0ms
(cbrt (cos y))
14.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
7.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
2.0ms
(cbrt (cbrt (cos y)))

series685.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (cos y))
200.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
175.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
165.0ms
(cbrt (cbrt (cos y)))

simplify1.2s

Counts
86 → 86
Iterations

Useful iterations: done (1.2s)

IterNodesCost
094770
1195702
2800575
done5000561

prune499.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.4b
(cbrt (* x (sin y)))
7.4b
(cbrt (* x (sin y)))
7.4b
(cbrt (* x (sin y)))

rewrite48.0ms

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:
22.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
6.0ms
(cbrt (* x (sin y)))
8.0ms
(cbrt (* x (sin y)))
9.0ms
(cbrt (* x (sin y)))

series763.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
171.0ms
(cbrt (* x (sin y)))
155.0ms
(cbrt (* x (sin y)))
197.0ms
(cbrt (* x (sin y)))

simplify638.0ms

Counts
70 → 70
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
087790
1213713
2863630
done5000559

prune339.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01118
11518
done1518

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.4s1532×body1280valid
1.2s1262×body640valid
751.0ms4292×body80valid
235.0ms582×body320valid
82.0ms332×body160valid