Details

Time bar (total: 12.1s)

sample97.0ms

Algorithm
intervals
Results
35.0ms48×body1280valid
16.0ms11×body2560valid
13.0ms136×body80valid
11.0ms26×body640valid
8.0ms25×body320valid
2.0ms10×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21313
done1313

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize12.0ms

Local error

Found 3 expressions with local error:

6.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b
(sin (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
12.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series106.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
44.0ms
(tan (/ x (* y 2.0)))

simplify1.3s

Counts
52 → 52
Iterations

Useful iterations: 3 (462.0ms)

IterNodesCost
077822
1144813
2491739
33059737
done5000737

prune260.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.2b

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

prune38.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b
(sin (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1
4×add-log-exp
3×pow-unpow associate-/r* div-inv associate-/l*
2×tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 89
Calls
4 calls:
15.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
19.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
47.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
16.0ms
(sin (/ x (* y 2.0)))
47.0ms
(tan (/ x (* y 2.0)))

simplify1.1s

Counts
101 → 101
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01222065
14451912
221611762
done50021755

prune428.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 25.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b
(sin (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1
4×add-log-exp
3×pow-unpow associate-/r* div-inv associate-/l*
2×tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 89
Calls
4 calls:
22.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
24.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
55.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms
(sin (/ x (* y 2.0)))
62.0ms
(tan (/ x (* y 2.0)))

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01222065
14451912
221611762
done50021755

prune424.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 25.2b

regimes443.0ms

Accuracy

35.9% (1.5b remaining)

Error of 27.8b against oracle of 26.3b and baseline of 28.6b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02067
12267
done2267

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.2s1434×body1280valid
1.5s656×body2560valid
833.0ms988×body640valid
591.0ms4065×body80valid
380.0ms567×body320valid
92.0ms290×body160valid