Details

Time bar (total: 17.7s)

sample147.0ms

Algorithm
intervals
Results
47.0ms53×body1280valid
35.0ms20×body2560valid
18.0ms137×body80valid
14.0ms23×body640valid
7.0ms16×body320valid
6.0msbody160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize16.0ms

Local error

Found 3 expressions with local error:

8.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.5b
(sin (/ x (* y 2.0)))
27.0b
(tan (/ x (* y 2.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
tan-quot
cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
48.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
19.0ms
(sin (/ x (* y 2.0)))
75.0ms
(tan (/ x (* y 2.0)))

simplify1.4s

Counts
58 → 58
Iterations
IterNodes
done5000
33100
2502
1152
083

prune527.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 24.9b

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

prune89.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.9b

localize41.0ms

Local error

Found 4 expressions with local error:

8.2b
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
26.5b
(sin (/ x (* y 2.0)))
26.5b
(sin (/ x (* y 2.0)))
26.9b
(cos (/ x (* y 2.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
times-frac associate-/l*
cbrt-undiv div-exp
clear-num associate-/r* frac-2neg prod-exp associate-/r/ cbrt-unprod div-inv sin-cos-mult
Counts
4 → 51
Calls
4 calls:
31.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
4.0ms
(sin (/ x (* y 2.0)))
6.0ms
(sin (/ x (* y 2.0)))
7.0ms
(cos (/ x (* y 2.0)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
19.0ms
(sin (/ x (* y 2.0)))
14.0ms
(sin (/ x (* y 2.0)))
18.0ms
(cos (/ x (* y 2.0)))

simplify2.6s

Counts
63 → 63
Iterations
IterNodes
done5000
33634
2489
1152
077

prune505.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (cos (/ x (* y 2.0))))
0.6b
(log1p (expm1 (/ 1 (cos (/ x (* y 2.0))))))
0.7b
(expm1 (/ 1 (cos (/ x (* y 2.0)))))
26.9b
(cos (/ x (* y 2.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-exp-log
add-cbrt-cube
pow1 log1p-expm1-u
expm1-log1p-u add-log-exp
associate-/r* associate-/l*
div-exp
cbrt-undiv rec-exp log1p-udef expm1-log1p clear-num frac-2neg 1-exp log1p-expm1 div-inv pow-flip inv-pow expm1-udef
Counts
4 → 64
Calls
4 calls:
5.0ms
(/ 1 (cos (/ x (* y 2.0))))
0.0ms
(log1p (expm1 (/ 1 (cos (/ x (* y 2.0))))))
0.0ms
(expm1 (/ 1 (cos (/ x (* y 2.0)))))
7.0ms
(cos (/ x (* y 2.0)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (cos (/ x (* y 2.0))))
123.0ms
(log1p (expm1 (/ 1 (cos (/ x (* y 2.0))))))
122.0ms
(expm1 (/ 1 (cos (/ x (* y 2.0)))))
27.0ms
(cos (/ x (* y 2.0)))

simplify3.7s

Counts
76 → 76
Iterations
IterNodes
done5001
33175
2570
1164
091

prune400.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.8b

regimes563.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 26.0b and baseline of 28.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample7.0s

Algorithm
intervals
Results
2.4s1429×body1280valid
1.5s645×body2560valid
856.0ms4118×body80valid
824.0ms559×body320valid
743.0ms971×body640valid
98.0ms278×body160valid