Details

Time bar (total: 4.1s)

sample66.0ms

Algorithm
intervals
Results
23.0ms55×body1280valid
12.0ms14×body2560valid
9.0ms33×body640valid
7.0ms125×body80valid
4.0ms22×body320valid
1.0ms7×body160valid

simplify8.0ms

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: 36.4b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

6.5b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.4b
(sin (/ x (* y 2.0)))
29.7b
(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)))
2.0ms
(tan (/ x (* y 2.0)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
41.0ms
(tan (/ x (* y 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune241.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New391958
Fresh000
Picked101
Done000
Total401959

Merged error: 27.4b

Counts
59 → 19

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

prune49.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01818
Picked011
Done000
Total01919

Merged error: 27.4b

Counts
19 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.5b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.4b
(sin (/ x (* y 2.0)))
29.7b
(tan (/ x (* y 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* div-inv associate-/l*
2×tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 97
Calls
4 calls:
6.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
46.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
41.0ms
(tan (/ x (* y 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
03481116
115761021
250011012

prune317.0ms

Filtered
109 candidates to 75 candidates (68.8%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1045109
Fresh21517
Picked101
Done011
Total10721128

Merged error: 27.4b

Counts
128 → 21

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (sin (/ x (* y 2.0))))
6.5b
(/ (tan (/ x (* y 2.0))) (expm1 (log1p (sin (/ x (* y 2.0))))))
29.4b
(sin (/ x (* y 2.0)))
29.7b
(tan (/ x (* y 2.0)))

rewrite12.0ms

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×expm1-log1p-u
4×pow1 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×tan-quot
1×cbrt-undiv log1p-udef frac-2neg log1p-expm1 div-exp clear-num div-inv associate-/l/
Counts
4 → 60
Calls
4 calls:
1.0ms
(log1p (sin (/ x (* y 2.0))))
5.0ms
(/ (tan (/ x (* y 2.0))) (expm1 (log1p (sin (/ x (* y 2.0))))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(log1p (sin (/ x (* y 2.0))))
114.0ms
(/ (tan (/ x (* y 2.0))) (expm1 (log1p (sin (/ x (* y 2.0))))))
9.0ms
(sin (/ x (* y 2.0)))
43.0ms
(tan (/ x (* y 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0178651
1512557
22126544
35002538

prune203.0ms

Filtered
72 candidates to 58 candidates (80.6%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New64872
Fresh81119
Picked101
Done011
Total732093

Merged error: 27.3b

Counts
93 → 20

regimes409.0ms

Accuracy

0% (2.6b remaining)

Error of 28.3b against oracle of 25.7b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.0s

Algorithm
intervals
Results
586.0ms1389×body1280valid
568.0ms635×body2560valid
272.0ms987×body640valid
237.0ms4144×body80valid
114.0ms570×body320valid
44.0ms275×body160valid