Details

Time bar (total: 16.7s)

sample165.0ms

Algorithm
intervals
Results
45.0ms23×body2560valid
40.0ms38×body1280valid
23.0ms20×body320valid
19.0ms136×body80valid
14.0ms21×body640valid
6.0ms18×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize25.0ms

Local error

Found 3 expressions with local error:

6.7b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b
(tan (/ x (* y 2.0)))
27.4b
(sin (/ x (* y 2.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×pow1 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
13.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms
(tan (/ x (* y 2.0)))
6.0ms
(sin (/ x (* y 2.0)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
59.0ms
(tan (/ x (* y 2.0)))
35.0ms
(sin (/ x (* y 2.0)))

simplify1.2s

Counts
52 → 52
Iterations
IterNodes
done5000
31624
2414
1144
077

prune263.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.0b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune42.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.0b

localize23.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
27.4b
(cos (/ x (* y 2.0)))
27.4b
(sin (/ x (* y 2.0)))
27.4b
(sin (/ x (* y 2.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
9×add-cbrt-cube add-exp-log
5×div-inv
4×pow1 add-log-exp
3×cbrt-undiv associate-/r* div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 91
Calls
4 calls:
25.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
4.0ms
(cos (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
13.0ms
(cos (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
11.0ms
(sin (/ x (* y 2.0)))

simplify3.3s

Counts
103 → 103
Iterations
IterNodes
done5003
34974
21209
1386
0161

prune734.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 25.0b

localize27.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
27.4b
(cos (/ x (* y 2.0)))
27.4b
(sin (/ x (* y 2.0)))
27.4b
(sin (/ x (* y 2.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
86×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×log-pow
36×exp-prod
25×associate-/l*
16×pow1
9×add-cbrt-cube add-exp-log
5×div-inv
4×add-log-exp
3×cbrt-undiv associate-/r* div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 139
Calls
4 calls:
39.0ms
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
4.0ms
(cos (/ x (* y 2.0)))
7.0ms
(sin (/ x (* y 2.0)))
7.0ms
(sin (/ x (* y 2.0)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
20.0ms
(cos (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
11.0ms
(sin (/ x (* y 2.0)))

simplify2.0s

Counts
151 → 151
Iterations
IterNodes
done5000
21673
1587
0255

prune1.0s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 25.0b

regimes987.0ms

Accuracy

0% (2.4b remaining)

Error of 28.2b against oracle of 25.8b and baseline of 28.2b

bsearch0.0ms

simplify0.0ms

Iterations
IterNodes
done1
01

end0.0ms

sample6.4s

Algorithm
intervals
Results
2.2s1364×body1280valid
1.7s648×body2560valid
1.2s4143×body80valid
643.0ms981×body640valid
320.0ms572×body320valid
100.0ms292×body160valid