Details

Time bar (total: 13.9s)

sample180.0ms

Algorithm
intervals
Results
63.0ms55×body1280valid
33.0ms14×body2560valid
31.0ms37×body640valid
19.0ms125×body80valid
7.0ms15×body320valid
4.0ms10×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
08

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize28.0ms

Local error

Found 3 expressions with local error:

7.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b
(sin (/ x (* y 2.0)))
30.2b
(tan (/ x (* y 2.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
pow1 associate-/r* associate-/l* add-log-exp
tan-quot
cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
35.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
68.0ms
(tan (/ x (* y 2.0)))

simplify1.1s

Counts
52 → 52
Iterations
IterNodes
done5002
33170
2494
1144
077

prune403.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 27.7b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune61.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 27.7b

localize47.0ms

Local error

Found 4 expressions with local error:

8.0b
(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
29.8b
(cos (/ x (* 2.0 y)))
30.0b
(sin (/ x (* y 2.0)))
30.0b
(sin (/ x (* 2.0 y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-log-exp
times-frac associate-/l*
cbrt-undiv div-exp
clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 42
Calls
4 calls:
22.0ms
(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
4.0ms
(cos (/ x (* 2.0 y)))
4.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* 2.0 y)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (sin (/ x (* y 2.0))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
16.0ms
(cos (/ x (* 2.0 y)))
10.0ms
(sin (/ x (* y 2.0)))
11.0ms
(sin (/ x (* 2.0 y)))

simplify2.4s

Counts
54 → 54
Iterations
IterNodes
done5001
33568
2598
1152
075

prune408.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 27.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))))
29.8b
(cos (/ (/ x y) 2.0))
29.8b
(cos (/ (/ x y) 2.0))
29.8b
(cos (/ (/ x y) 2.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
76×add-sqr-sqrt
52×times-frac
46×*-un-lft-identity
36×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
pow1/3 add-exp-log div-inv
cbrt-div add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 108
Calls
4 calls:
42.0ms
(* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))))
7.0ms
(cos (/ (/ x y) 2.0))
8.0ms
(cos (/ (/ x y) 2.0))
7.0ms
(cos (/ (/ x y) 2.0))

series225.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (/ 1 (cos (/ (/ x y) 2.0)))) (cbrt (/ 1 (cos (/ (/ x y) 2.0)))))
22.0ms
(cos (/ (/ x y) 2.0))
15.0ms
(cos (/ (/ x y) 2.0))
13.0ms
(cos (/ (/ x y) 2.0))

simplify950.0ms

Counts
120 → 120
Iterations
IterNodes
done5001
2859
1238
0138

prune571.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 27.4b

regimes357.0ms

Accuracy

0% (2.7b remaining)

Error of 28.8b against oracle of 26.1b and baseline of 28.8b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.6s660×body2560valid
1.5s1366×body1280valid
1.0s1037×body640valid
839.0ms4076×body80valid
273.0ms569×body320valid
100.0ms292×body160valid