Details

Time bar (total: 3.7s)

sample67.0ms

Algorithm
intervals
Results
22.0ms22×body2560valid
17.0ms42×body1280valid
8.0ms145×body80valid
6.0ms26×body640valid
2.0ms12×body160valid
2.0ms9×body320valid

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: 32.7b

localize10.0ms

Local error

Found 3 expressions with local error:

7.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.1b
(sin (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))

rewrite11.0ms

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:
5.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series92.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
39.0ms
(tan (/ x (* y 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune211.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.6b

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

prune36.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 23.6b

localize15.0ms

Local error

Found 4 expressions with local error:

25.1b
(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)))

rewrite10.0ms

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)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sin (/ x (* y 2.0)))
38.0ms
(tan (/ x (* y 2.0)))
40.0ms
(tan (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
061250
1131222
2445222
31995222
45001222

prune236.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 23.5b

localize21.0ms

Local error

Found 4 expressions with local error:

25.1b
(sin (/ x (* y 2.0)))
25.4b
(cos (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))
25.6b
(tan (/ x (* y 2.0)))

rewrite10.0ms

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
2×tan-quot
Counts
4 → 38
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sin (/ x (* y 2.0)))
12.0ms
(cos (/ x (* y 2.0)))
41.0ms
(tan (/ x (* y 2.0)))
36.0ms
(tan (/ x (* y 2.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
089242
1221214
2853214
35001214

prune221.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 23.5b

regimes401.0ms

Accuracy

22% (2.0b remaining)

Error of 28.1b against oracle of 26.1b and baseline of 28.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02838
12838

end0.0ms

sample2.0s

Algorithm
intervals
Results
591.0ms669×body2560valid
581.0ms1386×body1280valid
235.0ms958×body640valid
225.0ms4085×body80valid
100.0ms571×body320valid
52.0ms331×body160valid