Details

Time bar (total: 13.7s)

sample134.0ms

Algorithm
intervals
Results
50.0ms53×body1280valid
32.0ms20×body2560valid
17.0ms137×body80valid
14.0ms23×body640valid
7.0ms16×body320valid
2.0msbody160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize18.0ms

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)))

rewrite56.0ms

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:
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
40.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
46.0ms
(tan (/ x (* y 2.0)))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done5000
33100
2502
1152
083

prune522.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.9b

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

prune83.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
8.2b
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
26.5b
(sin (/ x (* 2.0 y)))
27.0b
(tan (/ x (* 2.0 y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
log1p-expm1-u
expm1-log1p-u pow1 add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv expm1-log1p clear-num frac-2neg div-exp div-inv expm1-udef associate-/l/
Counts
4 → 60
Calls
4 calls:
1.0ms
(expm1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
14.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
4.0ms
(sin (/ x (* 2.0 y)))
3.0ms
(tan (/ x (* 2.0 y)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(expm1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
68.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
20.0ms
(sin (/ x (* 2.0 y)))
64.0ms
(tan (/ x (* 2.0 y)))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5002
33595
2618
1189
0100

prune552.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.9b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:
32.0ms
(/ (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)))
4.0ms
(cos (/ x (* y 2.0)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (sin (/ x (* 2.0 y))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
23.0ms
(sin (/ x (* y 2.0)))
24.0ms
(sin (/ x (* 2.0 y)))
35.0ms
(cos (/ x (* y 2.0)))

simplify1.9s

Counts
63 → 63
Iterations
IterNodes
done5001
33310
2610
1172
089

prune416.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 24.8b

regimes959.0ms

Accuracy

34.9% (1.6b remaining)

Error of 27.6b against oracle of 26.0b and baseline of 28.4b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
016

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.1s1429×body1280valid
1.4s645×body2560valid
738.0ms971×body640valid
667.0ms4118×body80valid
528.0ms278×body160valid
294.0ms559×body320valid