Details

Time bar (total: 14.5s)

sample111.0ms

Algorithm
intervals
Results
36.0ms51×body1280valid
32.0ms149×body80valid
18.0ms35×body640valid
6.0ms18×body320valid
1.0ms3×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done19
219
112
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
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:
7.0ms
(- (* x (cos y)) (* z (sin y)))
10.0ms
(* x (cos y))
15.0ms
(* z (sin y))

series219.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (* x (cos y)) (* z (sin y)))
65.0ms
(* x (cos y))
59.0ms
(* z (sin y))

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5001
32577
2566
1180
080

prune264.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (cbrt (cos y)) x) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×add-cbrt-cube associate-*r*
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 54
Calls
4 calls:
30.0ms
(* (* (cbrt (cos y)) x) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series559.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (* (cbrt (cos y)) x) (cbrt (cos y)))
141.0ms
(cbrt (cos y))
143.0ms
(cbrt (cos y))
129.0ms
(cbrt (cos y))

simplify751.0ms

Counts
66 → 66
Iterations
IterNodes
done5001
2839
1158
062

prune408.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (exp (cbrt (cos y))))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×log-pow
6×exp-prod
5×pow1
4×add-cbrt-cube add-exp-log add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 51
Calls
4 calls:
6.0ms
(log (exp (cbrt (cos y))))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series515.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(log (exp (cbrt (cos y))))
141.0ms
(cbrt (cos y))
106.0ms
(cbrt (cos y))
143.0ms
(cbrt (cos y))

simplify540.0ms

Counts
63 → 63
Iterations
IterNodes
done5000
3829
2242
186
054

prune368.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite9.0ms

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))

series612.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (cos y))
114.0ms
(cbrt (cos y))
175.0ms
(cbrt (cos y))
138.0ms
(cbrt (cos y))

simplify3.5s

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

prune374.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes422.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.8s1510×body1280valid
996.0ms4340×body80valid
742.0ms1206×body640valid
214.0ms643×body320valid
68.0ms301×body160valid