Details

Time bar (total: 7.5s)

sample82.0ms

Algorithm
intervals
Results
27.0ms46×body1280valid
16.0ms12×body2560valid
13.0ms37×body640valid
9.0ms135×body80valid
5.0ms20×body320valid
1.0msbody160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21313
done1313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize14.0ms

Local error

Found 3 expressions with local error:

8.7b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.4b
(sin (/ x (* y 2.0)))
27.9b
(tan (/ x (* y 2.0)))

rewrite20.0ms

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:
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))

simplify1.4s

Counts
52 → 52
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
077822
1139813
2323737
3803733
42504733
done5000733

prune155.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.0b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune25.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.125 (/ (pow x 2) (pow y 2)))
14.0b
(/ (pow x 2) (pow y 2))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
110×unpow-prod-down
106×add-sqr-sqrt
72×add-cube-cbrt *-un-lft-identity
68×associate-*r*
42×unpow2 sqr-pow
37×add-exp-log
18×div-exp
17×unswap-sqr
12×pow-to-exp pow-exp
10×prod-exp
add-cbrt-cube
associate-/r* associate-/l*
pow1
associate-*l*
cbrt-undiv cbrt-unprod div-inv add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 210
Calls
2 calls:
37.0ms
(* 0.125 (/ (pow x 2) (pow y 2)))
11.0ms
(/ (pow x 2) (pow y 2))

series65.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* 0.125 (/ (pow x 2) (pow y 2)))
26.0ms
(/ (pow x 2) (pow y 2))

simplify812.0ms

Counts
216 → 216
Iterations

Useful iterations: done (806.0ms)

IterNodesCost
02692965
15342578
212561984
done50011964

prune376.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 25.0b

localize14.0ms

Local error

Found 4 expressions with local error:

27.4b
(sin (/ x (* y 2.0)))
27.9b
(tan (/ x (* y 2.0)))
27.9b
(tan (/ x (* y 2.0)))
27.9b
(tan (/ x (* y 2.0)))

rewrite16.0ms

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:
5.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sin (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
45.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))

simplify1.2s

Counts
43 → 43
Iterations

Useful iterations: 4 (407.0ms)

IterNodesCost
033420
157420
2125372
3421372
41827360
done5001360

prune148.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.9b

regimes173.0ms

Accuracy

0% (2.6b remaining)

Error of 28.6b against oracle of 26.0b and baseline of 28.6b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample2.7s

Algorithm
intervals
Results
838.0ms646×body2560valid
836.0ms1414×body1280valid
333.0ms953×body640valid
308.0ms4094×body80valid
139.0ms569×body320valid
61.0ms324×body160valid