Details

Time bar (total: 4.9s)

sample98.0ms

Algorithm
intervals
Results
32.0ms25×body2560valid
28.0ms46×body1280valid
11.0ms29×body640valid
10.0ms133×body80valid
3.0ms13×body320valid
2.0ms10×body160valid

simplify8.0ms

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: 36.2b

localize11.0ms

Local error

Found 3 expressions with local error:

8.0b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.9b
(tan (/ x (* y 2.0)))
28.3b
(sin (/ x (* y 2.0)))

rewrite9.0ms

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:
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
1.0ms
(tan (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
49.0ms
(tan (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune235.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.8b

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

prune34.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (expm1 (sin (/ x (* y 2.0)))))
8.0b
(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
27.9b
(tan (/ x (* y 2.0)))
28.3b
(sin (/ x (* y 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv log1p-udef frac-2neg log1p-expm1 div-exp clear-num div-inv associate-/l/
Counts
4 → 60
Calls
4 calls:
0.0ms
(log1p (expm1 (sin (/ x (* y 2.0)))))
3.0ms
(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
1.0ms
(tan (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(log1p (expm1 (sin (/ x (* y 2.0)))))
106.0ms
(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
48.0ms
(tan (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0159622
1448532
21814519
35001513

prune271.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.8b

localize20.0ms

Local error

Found 4 expressions with local error:

27.9b
(tan (/ x (* y 2.0)))
28.3b
(sin (/ x (* y 2.0)))
28.3b
(sin (/ x (* y 2.0)))
28.3b
(sin (/ x (* y 2.0)))

rewrite7.0ms

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 → 37
Calls
4 calls:
1.0ms
(tan (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(tan (/ x (* y 2.0)))
11.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
061222
1131194
2445194
31995194
45001194

prune252.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.8b

regimes277.0ms

Accuracy

0% (2.5b remaining)

Error of 28.3b against oracle of 25.7b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010

end0.0ms

sample3.1s

Algorithm
intervals
Results
863.0ms643×body2560valid
855.0ms1336×body1280valid
579.0ms4147×body80valid
350.0ms942×body640valid
162.0ms613×body320valid
62.0ms319×body160valid