Details

Time bar (total: 4.4s)

sample71.0ms

Algorithm
intervals
Results
22.0ms49×body1280valid
14.0ms15×body2560valid
11.0ms40×body640valid
8.0ms131×body80valid
3.0ms16×body320valid
1.0ms5×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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: 38.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

9.6b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.7b
(sin (/ x (* y 2.0)))
29.1b
(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)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
49.0ms
(tan (/ x (* y 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune265.0ms

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: 26.5b

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

prune45.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01515
Picked011
Done000
Total01616

Merged error: 26.5b

Counts
16 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(log1p (expm1 (tan (/ x (* y 2.0)))))
9.6b
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
28.7b
(sin (/ x (* y 2.0)))
29.1b
(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)))
2.0ms
(tan (/ x (* y 2.0)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
113.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
45.0ms
(tan (/ x (* y 2.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0157605
1415531
21749518
35001512

prune234.0ms

Filtered
71 candidates to 56 candidates (78.9%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh41014
Picked101
Done011
Total711687

Merged error: 26.5b

Counts
87 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
9.6b
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
28.7b
(sin (/ x (* y 2.0)))
29.1b
(tan (/ x (* y 2.0)))

rewrite16.0ms

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*
1×tan-quot cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv expm1-udef
Counts
4 → 59
Calls
4 calls:
1.0ms
(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
8.0ms
(/ (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)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
112.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0184703
1510614
22015599
35002589

prune257.0ms

Filtered
71 candidates to 62 candidates (87.3%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New611071
Fresh31114
Picked101
Done011
Total652287

Merged error: 26.5b

Counts
87 → 22

regimes498.0ms

Accuracy

40.8% (1.5b remaining)

Error of 27.2b against oracle of 25.8b and baseline of 28.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample2.1s

Algorithm
intervals
Results
626.0ms1405×body1280valid
544.0ms586×body2560valid
289.0ms998×body640valid
256.0ms4157×body80valid
114.0ms558×body320valid
46.0ms296×body160valid

Profiling

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