Details

Time bar (total: 16.2s)

sample79.0ms

Algorithm
intervals
Results
29.0ms99×body1280valid
18.0ms77×body640valid
12.0ms290×body80valid
5.0ms38×body320valid
1.0ms18×body160valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2297
3647
41387
52567
65157
714747
837227
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
3.0ms
(/ (sinh y) y)
0.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) y))

series253.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (sinh y) y)
62.0ms
(sinh y)
101.0ms
(* (sin x) (/ (sinh y) y))

simplify500.0ms

Counts
83 → 83
Iterations

Useful iterations: done (498.0ms)

IterNodesCost
0146764
1353716
21337650
done5000638

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))

rewrite46.0ms

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×expm1-log1p-u rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 126
Calls
4 calls:
11.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms
(sqrt (/ (sinh y) y))
5.0ms
(sqrt (/ (sinh y) y))
23.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
80.0ms
(sqrt (/ (sinh y) y))
80.0ms
(sqrt (/ (sinh y) y))
122.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify362.0ms

Counts
138 → 138
Iterations

Useful iterations: done (358.0ms)

IterNodesCost
03832643
111172296
done50002117

prune456.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite419.0ms

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×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2 pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 206
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
26.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
377.0ms
(* (* (sin x) (* (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y)))) (cbrt (sqrt (/ (sinh y) y))))) (sqrt (/ (sinh y) y)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (/ (sinh y) y))
91.0ms
(sqrt (/ (sinh y) y))
295.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
134.0ms
(* (* (sin x) (* (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y)))) (cbrt (sqrt (/ (sinh y) y))))) (sqrt (/ (sinh y) y)))

simplify626.0ms

Counts
218 → 218
Iterations

Useful iterations: done (618.0ms)

IterNodesCost
05796497
116805971
done50005943

prune812.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
26×sqrt-prod
16×associate-*r*
11×add-exp-log add-cbrt-cube
10×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp associate-/r* cbrt-unprod div-inv associate-/l*
2×sinh-def rem-sqrt-square sqrt-div
1×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 associate-*r/ div-exp associate-*l* clear-num *-commutative associate-/l/
Counts
4 → 101
Calls
4 calls:
3.0ms
(/ (sinh y) y)
0.0ms
(sinh y)
3.0ms
(sqrt (/ (sinh y) y))
14.0ms
(* (* (sin x) (fma 1/12 (pow y 2) (fma 1/1440 (pow y 4) 1))) (sqrt (/ (sinh y) y)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (sinh y) y)
66.0ms
(sinh y)
89.0ms
(sqrt (/ (sinh y) y))
352.0ms
(* (* (sin x) (fma 1/12 (pow y 2) (fma 1/1440 (pow y 4) 1))) (sqrt (/ (sinh y) y)))

simplify1.4s

Counts
113 → 113
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
03792108
110711968
243891767
done50001767

prune790.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes72.0ms

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

sample2.2s

Algorithm
intervals
Results
864.0ms3006×body1280valid
466.0ms2566×body640valid
359.0ms8542×body80valid
158.0ms1263×body320valid
51.0ms594×body160valid