Details

Time bar (total: 4.4s)

sample88.0ms

Algorithm
intervals
Results
31.0ms54×body1280valid
19.0ms14×body2560valid
13.0ms28×body640valid
9.0ms129×body80valid
6.0ms25×body320valid
1.0msbody160valid

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: 36.9b

localize10.0ms

Local error

Found 3 expressions with local error:

7.5b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.4b
(sin (/ x (* y 2.0)))
29.0b
(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:
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series87.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0138457
1421413
21765413
35001413

prune172.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.5b

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

prune33.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
7.5b
(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
28.4b
(sin (/ x (* y 2.0)))
29.0b
(tan (/ x (* y 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log associate-/r*
11×add-cbrt-cube
div-exp
tan-quot associate-/r/ div-inv associate-/l*
pow1
cbrt-undiv add-log-exp
rec-exp frac-2neg 1-exp clear-num
pow-flip inv-pow
Counts
4 → 123
Calls
4 calls:
9.0ms
(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
12.0ms
(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
41.0ms
(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
39.0ms
(tan (/ x (* y 2.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
03751624
119871472
250011397

prune266.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))))
14.7b
(/ (pow x 2) (pow y 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
54×unpow-prod-down
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log unpow2 sqr-pow
11×div-exp associate-/r* associate-/l*
pow-to-exp pow-exp add-cbrt-cube
pow1
cbrt-undiv frac-2neg clear-num associate-/r/ div-inv add-log-exp
rec-exp flip3-- pow-flip 1-exp flip-- inv-pow
Counts
2 → 133
Calls
2 calls:
5.0ms
(/ 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))))
6.0ms
(/ (pow x 2) (pow y 2))

series81.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))))
26.0ms
(/ (pow x 2) (pow y 2))

simplify52.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0368961
11736794
25002782

prune219.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 26.4b

regimes342.0ms

Accuracy

0% (2.4b remaining)

Error of 29.1b against oracle of 26.7b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.7s

Algorithm
intervals
Results
848.0ms1433×body1280valid
842.0ms661×body2560valid
354.0ms1011×body640valid
296.0ms4008×body80valid
155.0ms603×body320valid
51.0ms284×body160valid