Details

Time bar (total: 4.2s)

sample85.0ms

Algorithm
intervals
Results
23.0ms41×body1280valid
22.0ms18×body2560valid
12.0ms134×body80valid
11.0ms33×body640valid
4.0ms16×body320valid
3.0ms14×body160valid

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: 35.7b

localize9.0ms

Local error

Found 3 expressions with local error:

7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.5b
(sin (/ x (* y 2.0)))
27.6b
(tan (/ x (* y 2.0)))

rewrite10.0ms

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)))

series87.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0138457
1421413
21765413
35001413

prune164.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

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

prune27.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.7b

localize17.0ms

Local error

Found 4 expressions with local error:

27.5b
(sin (/ x (* y 2.0)))
27.6b
(tan (/ x (* y 2.0)))
27.6b
(tan (/ x (* y 2.0)))
27.6b
(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
tan-quot
Counts
4 → 31
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sin (/ x (* y 2.0)))
38.0ms
(tan (/ x (* y 2.0)))
35.0ms
(tan (/ x (* y 2.0)))
36.0ms
(tan (/ x (* y 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
056224
1123196
2434196
31952196
45001196

prune169.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.5b
(sin (/ x (* y 2.0)))
27.6b
(tan (/ x (* y 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
add-exp-log add-cbrt-cube
pow1
add-log-exp
pow-unpow associate-/r* div-inv associate-/l*
tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 89
Calls
4 calls:
6.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
35.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
38.0ms
(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03371072
11554977
25001968

prune242.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.6b

regimes274.0ms

Accuracy

0% (2.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.6s

Algorithm
intervals
Results
828.0ms1410×body1280valid
778.0ms607×body2560valid
341.0ms1000×body640valid
303.0ms4125×body80valid
136.0ms539×body320valid
56.0ms319×body160valid