Details

Time bar (total: 6.1s)

sample94.0ms

Algorithm
intervals
Results
33.0ms45×body1280valid
16.0ms12×body2560valid
11.0ms132×body80valid
10.0ms25×body640valid
9.0ms32×body320valid
2.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117
1137
2137

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize10.0ms

Local error

Found 3 expressions with local error:

5.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b
(sin (/ x (* y 2.0)))
28.2b
(tan (/ x (* y 2.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
tan-quot
cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
12.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series89.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune323.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.9b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune67.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
5.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b
(sin (/ x (* y 2.0)))
28.2b
(tan (/ x (* y 2.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
log1p-expm1-u
pow1 expm1-log1p-u add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv associate-/l/ expm1-udef
Counts
4 → 60
Calls
4 calls:
0.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
38.0ms
(tan (/ x (* y 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0178614
1530553
22057551
35001551

prune436.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 25.9b

localize18.0ms

Local error

Found 4 expressions with local error:

27.9b
(sin (/ x (* y 2.0)))
28.2b
(tan (/ x (* y 2.0)))
28.2b
(tan (/ x (* y 2.0)))
28.2b
(tan (/ x (* y 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
tan-quot
Counts
4 → 39
Calls
4 calls:
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sin (/ x (* y 2.0)))
40.0ms
(tan (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
061250
1131222
2445222
31995222
45001222

prune590.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 25.8b

regimes734.0ms

Accuracy

0% (2.5b remaining)

Error of 28.6b against oracle of 26.1b and baseline of 28.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.0s1386×body1280valid
876.0ms616×body2560valid
439.0ms1032×body640valid
386.0ms4110×body80valid
176.0ms553×body320valid
70.0ms303×body160valid