Details

Time bar (total: 3.8s)

sample68.0ms

Algorithm
intervals
Results
22.0ms52×body1280valid
18.0ms20×body2560valid
8.0ms138×body80valid
7.0ms26×body640valid
3.0ms16×body320valid
1.0ms4×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117
1137
2137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize10.0ms

Local error

Found 3 expressions with local error:

7.4b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b
(sin (/ x (* y 2.0)))
27.4b
(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)))

series93.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
44.0ms
(tan (/ x (* y 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune210.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.5b

localize3.0ms

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

prune32.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.5b

localize19.0ms

Local error

Found 4 expressions with local error:

27.1b
(sin (/ x (* y 2.0)))
27.4b
(tan (/ x (* y 2.0)))
27.4b
(tan (/ x (* y 2.0)))
27.4b
(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)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sin (/ x (* y 2.0)))
44.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
45.0ms
(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
061250
1131222
2445222
31995222
45001222

prune253.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.5b

localize18.0ms

Local error

Found 4 expressions with local error:

27.1b
(sin (/ x (* y 2.0)))
27.4b
(tan (/ x (* y 2.0)))
27.4b
(tan (/ x (* y 2.0)))
27.4b
(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)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sin (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
45.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
061250
1131222
2445222
31995222
45001222

prune197.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 24.5b

regimes311.0ms

Accuracy

40.3% (1.5b remaining)

Error of 27.4b against oracle of 26.0b and baseline of 28.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01733
11733

end0.0ms

sample2.0s

Algorithm
intervals
Results
626.0ms1425×body1280valid
586.0ms641×body2560valid
255.0ms948×body640valid
231.0ms4111×body80valid
111.0ms557×body320valid
52.0ms318×body160valid