Details

Time bar (total: 16.8s)

sample109.0ms

Algorithm
intervals
Results
39.0ms48×body1280valid
23.0ms46×body640valid
15.0ms128×body80valid
9.0ms26×body320valid
2.0ms8×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done19
219
112
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (cos y))
0.2b
(* z (sin y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
29.0ms
(* x (cos y))
7.0ms
(* z (sin y))

series124.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (cos y))
76.0ms
(* z (sin y))

simplify2.5s

Counts
42 → 42
Iterations
IterNodes
done5000
44406
31472
2377
1126
061

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (cbrt (cos y)) x) (cbrt (cos y))) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 57
Calls
4 calls:
118.0ms
(* (* (* (cbrt (cos y)) x) (cbrt (cos y))) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series488.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* (* (cbrt (cos y)) x) (cbrt (cos y))) (cbrt (cos y)))
167.0ms
(cbrt (cos y))
133.0ms
(cbrt (cos y))
135.0ms
(cbrt (cos y))

simplify907.0ms

Counts
69 → 69
Iterations
IterNodes
done5001
21108
1185
070

prune528.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series1.0s

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (cos y))
145.0ms
(cbrt (cos y))
536.0ms
(cbrt (cos y))
152.0ms
(cbrt (cos y))

simplify3.7s

Counts
56 → 56
Iterations
IterNodes
done5000
44047
3650
2165
150
027

prune467.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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))
1.0ms
(cbrt (sin y))

series614.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
124.0ms
(cbrt (sin y))
147.0ms
(cbrt (sin y))
154.0ms
(cbrt (sin y))

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5001
2753
1177
075

prune496.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes417.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s1515×body1280valid
732.0ms1236×body640valid
649.0ms624×body320valid
604.0ms4303×body80valid
70.0ms322×body160valid