Details

Time bar (total: 17.6s)

sample220.0ms

Algorithm
intervals
Results
83.0ms25×body2560valid
55.0ms40×body1280valid
31.0ms143×body80valid
26.0ms26×body640valid
12.0ms19×body320valid
2.0msbody160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 2.0))
8.9b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.2b
(sin (/ x (* y 2.0)))
26.2b
(tan (/ x (* y 2.0)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt times-frac
37×*-un-lft-identity add-cube-cbrt
15×associate-/r*
12×associate-*r* associate-*l*
11×add-cbrt-cube add-exp-log
associate-/l*
pow1 *-commutative insert-posit16 add-log-exp unswap-sqr
cbrt-undiv div-exp
clear-num frac-2neg tan-quot div-inv
prod-exp cbrt-unprod associate-/l/
Counts
4 → 112
Calls
4 calls:
16.0ms
(/ x (* y 2.0))
37.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
43.0ms
(sin (/ x (* y 2.0)))
21.0ms
(tan (/ x (* y 2.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ x (* y 2.0))
70.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
17.0ms
(sin (/ x (* y 2.0)))
53.0ms
(tan (/ x (* y 2.0)))

simplify1.1s

Counts
124 → 124
Iterations
IterNodes
done5001
21250
1420
0193

prune705.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 23.1b

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

prune142.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 23.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 2.0))
8.9b
(/ (tan (/ x (* y 2.0))) (sin (* 0.5 (/ x y))))
26.2b
(sin (* 0.5 (/ x y)))
26.2b
(tan (/ x (* y 2.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt times-frac
37×*-un-lft-identity add-cube-cbrt
15×associate-/r*
12×associate-*r* associate-*l*
11×add-cbrt-cube add-exp-log
associate-/l*
pow1 *-commutative insert-posit16 add-log-exp unswap-sqr
cbrt-undiv div-exp
clear-num frac-2neg tan-quot div-inv
prod-exp cbrt-unprod associate-/l/
Counts
4 → 112
Calls
4 calls:
12.0ms
(/ x (* y 2.0))
43.0ms
(/ (tan (/ x (* y 2.0))) (sin (* 0.5 (/ x y))))
26.0ms
(sin (* 0.5 (/ x y)))
21.0ms
(tan (/ x (* y 2.0)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ x (* y 2.0))
51.0ms
(/ (tan (/ x (* y 2.0))) (sin (* 0.5 (/ x y))))
10.0ms
(sin (* 0.5 (/ x y)))
55.0ms
(tan (/ x (* y 2.0)))

simplify1.2s

Counts
124 → 124
Iterations
IterNodes
done5001
21291
1421
0194

prune714.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 22.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
8.9b
(/ (tan (/ (/ x (* (cbrt y) (cbrt y))) (* (cbrt y) 2.0))) (sin (* 0.5 (/ x y))))
26.2b
(sin (* 0.5 (/ x y)))
26.2b
(tan (/ (/ x (* (cbrt y) (cbrt y))) (* (cbrt y) 2.0)))

rewrite498.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
pow1 insert-posit16 add-log-exp
cbrt-prod associate-/r* associate-/l*
tan-quot
cbrt-undiv clear-num frac-2neg pow1/3 div-exp div-inv associate-/l/
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt y)
252.0ms
(/ (tan (/ (/ x (* (cbrt y) (cbrt y))) (* (cbrt y) 2.0))) (sin (* 0.5 (/ x y))))
26.0ms
(sin (* 0.5 (/ x y)))
217.0ms
(tan (/ (/ x (* (cbrt y) (cbrt y))) (* (cbrt y) 2.0)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
371.0ms
(cbrt y)
130.0ms
(/ (tan (/ (/ x (* (cbrt y) (cbrt y))) (* (cbrt y) 2.0))) (sin (* 0.5 (/ x y))))
16.0ms
(sin (* 0.5 (/ x y)))
103.0ms
(tan (/ (/ x (* (cbrt y) (cbrt y))) (* (cbrt y) 2.0)))

simplify1.4s

Counts
70 → 70
Iterations
IterNodes
done5075
32063
2534
1194
0105

prune401.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 22.7b

regimes990.0ms

Accuracy

0% (3.7b remaining)

Error of 28.1b against oracle of 24.5b and baseline of 28.1b

bsearch0.0ms

simplify0.0ms

Iterations
IterNodes
done1
01

end0.0ms

sample8.9s

Algorithm
intervals
Results
2.6s1403×body1280valid
2.2s4146×body80valid
1.9s615×body2560valid
1.3s993×body640valid
522.0ms552×body320valid
157.0ms291×body160valid