Details

Time bar (total: 4.1s)

sample77.0ms

Algorithm
intervals
Results
26.0ms56×body1280valid
18.0ms19×body2560valid
8.0ms125×body80valid
8.0ms26×body640valid
4.0ms17×body320valid
2.0ms13×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1137
2137

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

6.0b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.5b
(sin (/ x (* y 2.0)))
30.0b
(tan (/ x (* y 2.0)))

rewrite10.0ms

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 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 43
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)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms
(sin (/ x (* y 2.0)))
13.0ms
(tan (/ x (* y 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0138457
1421413
21751413
35002413

prune185.0ms

Filtered
52 candidates to 44 candidates (15.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New381452
Fresh000
Picked101
Done000
Total391453

Merged error: 27.7b

Counts
53 → 14

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune53.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 27.7b

Counts
14 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

6.0b
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
29.1b
(cos (/ x (* y 2.0)))
29.5b
(sin (/ x (* y 2.0)))
29.5b
(sin (/ x (* y 2.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* associate-/r/ sin-cos-mult cbrt-unprod div-inv
Counts
4 → 43
Calls
4 calls:
7.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
3.0ms
(cos (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
6.0ms
(cos (/ x (* y 2.0)))
3.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0147493
1478347
22436345
35001339

prune181.0ms

Filtered
55 candidates to 45 candidates (18.2%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh5712
Picked101
Done011
Total511869

Merged error: 27.7b

Counts
69 → 18

localize15.0ms

Local error

Found 4 expressions with local error:

6.0b
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
29.1b
(cos (/ x (* y 2.0)))
29.5b
(sin (/ x (* y 2.0)))
29.5b
(sin (/ x (* y 2.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 42
Calls
4 calls:
8.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
2.0ms
(cos (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
5.0ms
(cos (/ x (* y 2.0)))
3.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0142520
1456348
22261344
35001336

prune117.0ms

Filtered
54 candidates to 45 candidates (16.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New46854
Fresh41216
Picked101
Done011
Total512172

Merged error: 27.7b

Counts
72 → 21

regimes622.0ms

Accuracy

41% (1.5b remaining)

Error of 27.2b against oracle of 25.8b and baseline of 28.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample2.5s

Algorithm
intervals
Results
804.0ms654×body2560valid
651.0ms1345×body1280valid
314.0ms1022×body640valid
279.0ms4138×body80valid
118.0ms538×body320valid
51.0ms303×body160valid

Profiling

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