Details

Time bar (total: 56.3s)

sample157.0ms

Algorithm
intervals
Results
63.0ms57×body640valid
37.0ms41×body1280valid
19.0ms131×body80valid
7.0ms17×body320valid
3.0ms10×body160valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done19
219
112
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite123.0ms

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:
19.0ms
(- (* x (cos y)) (* z (sin y)))
60.0ms
(* x (cos y))
41.0ms
(* z (sin y))

series413.0ms

Counts
3 → 9
Calls
3 calls:
266.0ms
(- (* x (cos y)) (* z (sin y)))
75.0ms
(* x (cos y))
72.0ms
(* z (sin y))

simplify5.2s

Counts
57 → 57
Iterations
IterNodes
done5002
31351
2428
1181
082

prune630.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

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))

rewrite68.0ms

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:
55.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series1.4s

Counts
4 → 12
Calls
4 calls:
578.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
341.0ms
(cbrt (sin y))
251.0ms
(cbrt (sin y))
212.0ms
(cbrt (sin y))

simplify6.9s

Counts
85 → 85
Iterations
IterNodes
done5000
31329
2468
1175
075

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize399.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite33.0ms

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:
27.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series2.5s

Counts
4 → 12
Calls
4 calls:
580.0ms
(* (cbrt z) (cbrt z))
772.0ms
(cbrt z)
694.0ms
(cbrt z)
451.0ms
(cbrt z)

simplify12.5s

Counts
85 → 85
Iterations
IterNodes
done5002
43625
31001
2372
1137
061

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (* (cbrt z) (cbrt z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt (cbrt z))
9.0ms
(cbrt (* (cbrt z) (cbrt z)))

series2.6s

Counts
4 → 12
Calls
4 calls:
762.0ms
(cbrt z)
564.0ms
(cbrt z)
576.0ms
(cbrt (cbrt z))
696.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify3.8s

Counts
57 → 57
Iterations
IterNodes
done5000
41746
3639
2264
1113
058

prune633.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes774.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample14.8s

Algorithm
intervals
Results
5.2s1497×body1280valid
4.6s4329×body80valid
3.1s1262×body640valid
1.3s602×body320valid
151.0ms310×body160valid