Details

Time bar (total: 13.8s)

sample143.0ms

Algorithm
intervals
Results
45.0ms29×body2560valid
33.0ms42×body1280valid
17.0ms35×body640valid
14.0ms7×body160valid
13.0ms121×body80valid
7.0ms22×body320valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize16.0ms

Local error

Found 3 expressions with local error:

6.5b
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
30.6b
(sin (/ x (* 2.0 y)))
30.9b
(tan (/ x (* 2.0 y)))

rewrite17.0ms

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:
9.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
4.0ms
(sin (/ x (* 2.0 y)))
3.0ms
(tan (/ x (* 2.0 y)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
11.0ms
(sin (/ x (* 2.0 y)))
61.0ms
(tan (/ x (* 2.0 y)))

simplify1.0s

Counts
52 → 52
Iterations
IterNodes
done5000
33127
2501
1145
077

prune353.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 28.2b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune103.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 28.2b

localize32.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (sin (/ x (* 2.0 y))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
30.6b
(sin (/ x (* y 2.0)))
30.6b
(sin (/ x (* 2.0 y)))
30.8b
(cos (/ x (* y 2.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp associate-/r/ cbrt-unprod div-inv sin-cos-mult
Counts
4 → 43
Calls
4 calls:
26.0ms
(/ (sin (/ x (* 2.0 y))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
4.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* 2.0 y)))
7.0ms
(cos (/ x (* y 2.0)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (sin (/ x (* 2.0 y))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
11.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* 2.0 y)))
17.0ms
(cos (/ x (* y 2.0)))

simplify2.3s

Counts
55 → 55
Iterations
IterNodes
done5000
33570
2607
1162
081

prune363.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 28.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ 1 (cos (/ x (* 2.0 y)))))
30.8b
(cos (/ x (* 2.0 y)))
30.8b
(cos (/ x (* 2.0 y)))
30.8b
(cos (/ x (* 2.0 y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×pow1 add-cbrt-cube add-exp-log add-log-exp
1×cbrt-div pow1/3 div-inv
Counts
4 → 43
Calls
4 calls:
2.0ms
(cbrt (/ 1 (cos (/ x (* 2.0 y)))))
4.0ms
(cos (/ x (* 2.0 y)))
7.0ms
(cos (/ x (* 2.0 y)))
4.0ms
(cos (/ x (* 2.0 y)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (/ 1 (cos (/ x (* 2.0 y)))))
24.0ms
(cos (/ x (* 2.0 y)))
14.0ms
(cos (/ x (* 2.0 y)))
14.0ms
(cos (/ x (* 2.0 y)))

simplify1.5s

Counts
55 → 55
Iterations
IterNodes
done5001
43370
3818
2233
1104
069

prune271.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 28.1b

regimes519.0ms

Accuracy

0% (2.6b remaining)

Error of 28.4b against oracle of 25.8b and baseline of 28.4b

bsearch0.0ms

simplify0.0ms

Iterations
IterNodes
done1
01

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.2s1337×body1280valid
1.5s636×body2560valid
1.3s4122×body80valid
862.0ms997×body640valid
410.0ms597×body320valid
113.0ms311×body160valid