Details

Time bar (total: 5.1s)

sample98.0ms

Algorithm
intervals
Results
32.0ms45×body1280valid
18.0ms34×body640valid
17.0ms13×body2560valid
14.0ms147×body80valid
4.0ms13×body320valid
1.0ms4×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: 34.1b

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.2b
(sin (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×tan-quot
1×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))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
49.0ms
(tan (/ x (* y 2.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune222.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.2b

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

13 alts after pruning (12 fresh and 1 done)

Merged error: 23.2b

localize16.0ms

Local error

Found 4 expressions with local error:

25.2b
(sin (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×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
3×tan-quot
Counts
4 → 39
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sin (/ x (* y 2.0)))
41.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
47.0ms
(tan (/ x (* y 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
061250
1131222
2445222
31995222
45001222

prune240.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 23.2b

localize18.0ms

Local error

Found 4 expressions with local error:

25.2b
(sin (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×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
3×tan-quot
Counts
4 → 39
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sin (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
47.0ms
(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
061250
1131222
2445222
31995222
45001222

prune228.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 23.2b

regimes326.0ms

Accuracy

0% (2.5b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample3.3s

Algorithm
intervals
Results
984.0ms1391×body1280valid
962.0ms670×body2560valid
446.0ms1003×body640valid
397.0ms4104×body80valid
168.0ms542×body320valid
68.0ms290×body160valid