Details

Time bar (total: 4.0s)

sample82.0ms

Algorithm
intervals
Results
30.0ms29×body2560valid
20.0ms47×body1280valid
9.0ms36×body640valid
6.0ms113×body80valid
3.0ms18×body320valid
3.0ms13×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117
1137
2137

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.2b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.0b
(sin (/ x (* y 2.0)))
32.4b
(tan (/ x (* y 2.0)))

rewrite12.0ms

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:
6.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
43.0ms
(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

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New421658
Fresh000
Picked101
Done000
Total431659

Merged error: 29.5b

Counts
59 → 16

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

prune41.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616

Merged error: 29.5b

Counts
16 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.0b
(sin (/ x (* y 2.0)))
32.4b
(tan (/ x (* y 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×log1p-expm1-u
4×pow1 expm1-log1p-u add-log-exp
3×associate-/r* associate-/l*
2×tan-quot
1×cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv associate-/l/ expm1-udef
Counts
4 → 60
Calls
4 calls:
1.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
6.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
44.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
40.0ms
(tan (/ x (* y 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0178614
1530553
22057551
35001551

prune257.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New64872
Fresh9514
Picked101
Done011
Total741488

Merged error: 29.5b

Counts
88 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(log1p (expm1 (tan (/ x (* y 2.0)))))
7.9b
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
32.0b
(sin (/ x (* y 2.0)))
32.4b
(tan (/ x (* y 2.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
1×tan-quot cbrt-undiv log1p-udef frac-2neg log1p-expm1 div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
1.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
4.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
109.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
45.0ms
(tan (/ x (* y 2.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0157605
1415531
21749518
35001512

prune194.0ms

Filtered
71 candidates to 60 candidates (84.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh21012
Picked101
Done011
Total691685

Merged error: 29.5b

Counts
85 → 16

regimes329.0ms

Accuracy

39.1% (1.5b remaining)

Error of 28.0b against oracle of 26.5b and baseline of 28.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
11935

end0.0ms

sample2.1s

Algorithm
intervals
Results
605.0ms1396×body1280valid
605.0ms664×body2560valid
281.0ms1018×body640valid
229.0ms4037×body80valid
108.0ms579×body320valid
44.0ms306×body160valid

Profiling

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