Details

Time bar (total: 4.5s)

sample93.0ms

Algorithm
intervals
Results
25.0ms37×body1280valid
25.0ms18×body2560valid
16.0ms148×body80valid
12.0ms29×body640valid
3.0ms14×body160valid
3.0ms10×body320valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1137
2137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize13.0ms

Local error

Found 3 expressions with local error:

7.0b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
24.7b
(sin (/ x (* y 2.0)))
25.5b
(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
tan-quot
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)))

series85.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
36.0ms
(tan (/ x (* y 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0138457
1421413
21765413
35001413

prune161.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 22.8b

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 (1.0ms)

IterNodesCost
000

prune26.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.8b

localize11.0ms

Local error

Found 4 expressions with local error:

6.9b
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
24.7b
(sin (/ x (* y 2.0)))
24.7b
(sin (/ x (* y 2.0)))
25.1b
(cos (/ x (* y 2.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-log-exp
times-frac associate-/l*
cbrt-undiv div-exp
frac-2neg prod-exp clear-num associate-/r* associate-/r/ sin-cos-mult cbrt-unprod div-inv
Counts
4 → 43
Calls
4 calls:
10.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0147493
1478347
22436345
35001339

prune162.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 22.8b

localize15.0ms

Local error

Found 4 expressions with local error:

24.7b
(sin (/ x (* y 2.0)))
25.1b
(cos (/ x (* y 2.0)))
25.1b
(cos (/ x (* y 2.0)))
25.1b
(cos (/ x (* y 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sin (/ x (* y 2.0)))
10.0ms
(cos (/ x (* y 2.0)))
10.0ms
(cos (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
053194
1114166
2315166
31342166
45001166

prune139.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 22.7b

regimes259.0ms

Accuracy

0% (2.5b remaining)

Error of 29.1b against oracle of 26.6b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.0s1439×body1280valid
908.0ms642×body2560valid
447.0ms1035×body640valid
436.0ms4010×body80valid
177.0ms562×body320valid
78.0ms312×body160valid