Details

Time bar (total: 30.0s)

sample81.0ms

Algorithm
intervals
Results
33.0ms99×body1280valid
15.0ms77×body640valid
12.0ms290×body80valid
5.0ms38×body320valid
2.0ms18×body160valid

simplify16.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2297
3647
41347
52427
64407
79727
820717
928907
1040877
1145397
1245977
1346087
done50017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
9.0ms
(* (sin x) (/ (sinh y) y))

series273.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ (sinh y) y)
66.0ms
(sinh y)
114.0ms
(* (sin x) (/ (sinh y) y))

simplify2.5s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0140732
1331689
21066623
34363621
done5001621

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sin x) (sqrt (/ (sinh y) y)))
0.0b
(sqrt (/ (sinh y) y))
0.0b
(sqrt (/ (sinh y) y))
0.0b
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
48×add-sqr-sqrt
39×times-frac
35×add-cube-cbrt *-un-lft-identity
32×associate-*r*
13×pow1
11×add-exp-log add-cbrt-cube
7×sqrt-div
4×rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 118
Calls
4 calls:
12.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
25.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series534.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
91.0ms
(sqrt (/ (sinh y) y))
90.0ms
(sqrt (/ (sinh y) y))
143.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify1.6s

Counts
130 → 130
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03772571
110522236
241861965
done50001958

prune471.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (sinh y) y))
0.0b
(sqrt (/ (sinh y) y))
0.0b
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
0.0b
(* (* (sin x) (* (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y)))) (cbrt (sqrt (/ (sinh y) y))))) (sqrt (/ (sinh y) y)))

rewrite453.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
109×sqrt-prod
92×cbrt-prod
73×times-frac
62×add-cube-cbrt *-un-lft-identity
38×sqrt-div
35×associate-*r*
28×cbrt-div
27×pow1
22×associate-*r/
21×swap-sqr
20×add-exp-log associate-*l*
18×frac-times associate-*l/
16×unswap-sqr
14×add-cbrt-cube
12×pow-prod-down
11×prod-exp cbrt-unprod
7×div-inv
6×pow1/3
4×rem-sqrt-square add-log-exp
2×sqrt-pow1 pow1/2 pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 198
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
28.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
408.0ms
(* (* (sin x) (* (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y)))) (cbrt (sqrt (/ (sinh y) y))))) (sqrt (/ (sinh y) y)))

series864.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(sqrt (/ (sinh y) y))
89.0ms
(sqrt (/ (sinh y) y))
541.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
145.0ms
(* (* (sin x) (* (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y)))) (cbrt (sqrt (/ (sinh y) y))))) (sqrt (/ (sinh y) y)))

simplify630.0ms

Counts
210 → 210
Iterations

Useful iterations: done (621.0ms)

IterNodesCost
05736385
116055849
done50015837

prune806.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (sinh y) y))
0.0b
(* (* (sin x) (+ (* 1/12 (pow y 2)) (+ (* 1/1440 (pow y 4)) 1))) (sqrt (/ (sinh y) y)))
0.1b
(* 1/1440 (pow y 4))
0.3b
(* 1/12 (pow y 2))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×associate-*r*
26×sqrt-prod
25×add-cube-cbrt *-un-lft-identity
19×add-exp-log times-frac
13×add-cbrt-cube
10×pow1
9×prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
5×associate-*r/ cbrt-unprod
4×sqrt-div add-log-exp sqr-pow
3×pow-prod-down *-commutative
2×frac-times pow-to-exp rem-sqrt-square flip3-+ associate-*l/ pow-exp flip-+ div-inv unpow2
1×sqrt-pow1 pow1/2
Counts
4 → 113
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
56.0ms
(* (* (sin x) (+ (* 1/12 (pow y 2)) (+ (* 1/1440 (pow y 4)) 1))) (sqrt (/ (sinh y) y)))
6.0ms
(* 1/1440 (pow y 4))
6.0ms
(* 1/12 (pow y 2))

series533.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(sqrt (/ (sinh y) y))
371.0ms
(* (* (sin x) (+ (* 1/12 (pow y 2)) (+ (* 1/1440 (pow y 4)) 1))) (sqrt (/ (sinh y) y)))
43.0ms
(* 1/1440 (pow y 4))
27.0ms
(* 1/12 (pow y 2))

simplify1.8s

Counts
125 → 125
Iterations

Useful iterations: 2 (839.0ms)

IterNodesCost
04242411
111792209
244271983
done50001983

prune502.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
11429
done1429

end0.0ms

sample2.3s

Algorithm
intervals
Results
887.0ms3006×body1280valid
483.0ms2566×body640valid
355.0ms8542×body80valid
157.0ms1263×body320valid
52.0ms594×body160valid