Details

Time bar (total: 15.5s)

sample183.0ms

Algorithm
intervals
Results
54.0ms28×body2560valid
43.0ms41×body1280valid
32.0ms124×body80valid
24.0ms36×body640valid
7.0ms14×body320valid
5.0ms13×body160valid

simplify6.0ms

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: 36.6b

localize14.0ms

Local error

Found 3 expressions with local error:

6.3b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b
(sin (/ x (* y 2.0)))
30.7b
(tan (/ x (* y 2.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
tan-quot
cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
51.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms
(sin (/ x (* y 2.0)))
65.0ms
(tan (/ x (* y 2.0)))

simplify2.2s

Counts
58 → 58
Iterations

Useful iterations: 3 (210.0ms)

IterNodesCost
083878
1147865
2330789
3814785
42543785
done5001785

prune307.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.1b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune78.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
6.3b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.0b
(sin (/ x (* y 2.0)))
30.7b
(tan (/ x (* y 2.0)))

rewrite75.0ms

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
expm1-log1p-u log1p-expm1-u 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 → 97
Calls
4 calls:
23.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
26.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms
(sin (/ x (* y 2.0)))
8.0ms
(tan (/ x (* y 2.0)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
74.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
21.0ms
(sin (/ x (* y 2.0)))
67.0ms
(tan (/ x (* y 2.0)))

simplify1.1s

Counts
109 → 109
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01302153
13461994
211321844
done50011805

prune566.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 28.1b

localize49.0ms

Local error

Found 4 expressions with local error:

30.0b
(sin (/ x (* y 2.0)))
30.7b
(tan (/ x (* y 2.0)))
30.7b
(tan (/ x (* y 2.0)))
30.7b
(tan (/ x (* y 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
tan-quot
Counts
4 → 39
Calls
4 calls:
6.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))
8.0ms
(tan (/ x (* y 2.0)))
8.0ms
(tan (/ x (* y 2.0)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sin (/ x (* y 2.0)))
77.0ms
(tan (/ x (* y 2.0)))
80.0ms
(tan (/ x (* y 2.0)))
84.0ms
(tan (/ x (* y 2.0)))

simplify1.9s

Counts
51 → 51
Iterations

Useful iterations: 4 (642.0ms)

IterNodesCost
037476
162470
2133422
3429422
41858410
done5000410

prune406.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 28.0b

regimes641.0ms

Accuracy

0% (2.3b remaining)

Error of 28.4b against oracle of 26.1b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample7.2s

Algorithm
intervals
Results
2.1s633×body2560valid
1.9s1429×body1280valid
1.3s4098×body80valid
833.0ms977×body640valid
424.0ms540×body320valid
192.0ms323×body160valid