Details

Time bar (total: 16.4s)

sample173.0ms

Algorithm
intervals
Results
57.0ms50×body1280valid
42.0ms19×body2560valid
24.0ms34×body640valid
18.0ms123×body80valid
8.0ms16×body320valid
6.0ms14×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08278
111278
done11278

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.2b

localize50.0ms

Local error

Found 3 expressions with local error:

7.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.3b
(sin (/ x (* y 2.0)))
30.9b
(tan (/ x (* y 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
tan-quot
cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
15.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
67.0ms
(tan (/ x (* y 2.0)))

simplify1.9s

Counts
58 → 58
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
08320158
115218581
242118181
3153918181
done500518181

prune322.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.4b

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

prune72.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.4b

localize62.0ms

Local error

Found 4 expressions with local error:

30.3b
(sin (/ x (* y 2.0)))
30.9b
(tan (/ x (* y 2.0)))
30.9b
(tan (/ x (* y 2.0)))
30.9b
(tan (/ x (* y 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt log1p-expm1-u add-log-exp
tan-quot
Counts
4 → 39
Calls
4 calls:
7.0ms
(sin (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sin (/ x (* y 2.0)))
64.0ms
(tan (/ x (* y 2.0)))
63.0ms
(tan (/ x (* y 2.0)))
79.0ms
(tan (/ x (* y 2.0)))

simplify2.9s

Counts
51 → 51
Iterations

Useful iterations: done (2.9s)

IterNodesCost
03713511
16211795
213711795
344411075
4158010985
done500010835

prune387.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 28.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.9b
(log1p (expm1 (tan (/ x (* y 2.0)))))
7.2b
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
30.3b
(sin (/ x (* y 2.0)))
30.9b
(tan (/ x (* y 2.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
associate-/r* associate-/l*
cbrt-undiv log1p-udef clear-num frac-2neg div-exp tan-quot log1p-expm1 div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
7.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
6.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
123.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
51.0ms
(tan (/ x (* y 2.0)))

simplify2.1s

Counts
71 → 71
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
09329513
116121056
238020656
3151420656
done500020656

prune453.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.3b

regimes614.0ms

Accuracy

0% (2.4b remaining)

Error of 28.8b against oracle of 26.3b and baseline of 28.8b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample6.7s

Algorithm
intervals
Results
1.7s1371×body1280valid
1.6s683×body2560valid
1.3s4060×body80valid
837.0ms1019×body640valid
750.0ms546×body320valid
165.0ms321×body160valid