Details

Time bar (total: 14.4s)

sample123.0ms

Algorithm
intervals
Results
36.0ms41×body1280valid
25.0ms15×body2560valid
19.0ms36×body640valid
16.0ms137×body80valid
6.0ms17×body320valid
3.0ms10×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
08

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize33.0ms

Local error

Found 3 expressions with local error:

8.2b
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
26.7b
(sin (/ x (* 2.0 y)))
27.1b
(tan (/ x (* 2.0 y)))

rewrite17.0ms

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:
9.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
4.0ms
(sin (/ x (* 2.0 y)))
3.0ms
(tan (/ x (* 2.0 y)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
13.0ms
(sin (/ x (* 2.0 y)))
70.0ms
(tan (/ x (* 2.0 y)))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done5001
33044
2508
1153
083

prune815.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.6b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune93.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
8.2b
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
26.7b
(sin (/ x (* 2.0 y)))
27.1b
(tan (/ x (* 2.0 y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
log1p-expm1-u
expm1-log1p-u pow1 add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv expm1-log1p clear-num frac-2neg div-exp div-inv expm1-udef associate-/l/
Counts
4 → 60
Calls
4 calls:
0.0ms
(expm1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
10.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
7.0ms
(sin (/ x (* 2.0 y)))
5.0ms
(tan (/ x (* 2.0 y)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(expm1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
55.0ms
(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
19.0ms
(sin (/ x (* 2.0 y)))
49.0ms
(tan (/ x (* 2.0 y)))

simplify1.3s

Counts
72 → 72
Iterations
IterNodes
done5002
33595
2618
1189
0100

prune570.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
8.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.7b
(sin (/ x (* y 2.0)))
27.1b
(tan (/ x (* y 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
log1p-expm1-u
expm1-log1p-u pow1 add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv expm1-log1p clear-num frac-2neg div-exp div-inv expm1-udef associate-/l/
Counts
4 → 60
Calls
4 calls:
0.0ms
(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
9.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
52.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
52.0ms
(tan (/ x (* y 2.0)))

simplify1.3s

Counts
72 → 72
Iterations
IterNodes
done5000
33889
2655
1199
0104

prune564.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.6b

regimes913.0ms

Accuracy

41.2% (1.4b remaining)

Error of 27.5b against oracle of 26.0b and baseline of 28.5b

bsearch2.0ms

simplify2.0ms

Iterations
IterNodes
done22
122
021

end0.0ms

sample6.9s

Algorithm
intervals
Results
1.8s4110×body80valid
1.8s1398×body1280valid
1.5s664×body2560valid
819.0ms951×body640valid
372.0ms548×body320valid
155.0ms329×body160valid