Details

Time bar (total: 13.8s)

sample70.0ms

Algorithm
intervals
Results
27.0ms99×body1280valid
13.0ms77×body640valid
11.0ms290×body80valid
4.0ms38×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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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)
14.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series237.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (sinh y) y)
88.0ms
(* (cos x) (/ (sinh y) y))
64.0ms
(sinh y)

simplify516.0ms

Counts
83 → 83
Iterations

Useful iterations: done (514.0ms)

IterNodesCost
0144762
1344714
21317648
done5001624

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (sinh y))
0.0b
(* (cos x) (/ 1 (/ y (sinh y))))
0.0b
(/ 1 (/ y (sinh y)))
0.0b
(sinh y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 200
Calls
4 calls:
2.0ms
(/ y (sinh y))
22.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
6.0ms
(/ 1 (/ y (sinh y)))
1.0ms
(sinh y)

series367.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ y (sinh y))
95.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
89.0ms
(/ 1 (/ y (sinh y)))
66.0ms
(sinh y)

simplify1.8s

Counts
212 → 212
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02972569
17382178
228471735
done50011733

prune460.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cos x) (fma 1/6 (* y y) (fma 1/120 (pow y 4) 1)))
0.0b
(fma 1/6 (* y y) (fma 1/120 (pow y 4) 1))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
3.0ms
(* (cos x) (fma 1/6 (* y y) (fma 1/120 (pow y 4) 1)))
0.0ms
(fma 1/6 (* y y) (fma 1/120 (pow y 4) 1))

series161.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* (cos x) (fma 1/6 (* y y) (fma 1/120 (pow y 4) 1)))
41.0ms
(fma 1/6 (* y y) (fma 1/120 (pow y 4) 1))

simplify1.4s

Counts
38 → 38
Iterations

Useful iterations: 3 (251.0ms)

IterNodesCost
065652
1139638
2546552
32619550
done5001550

prune115.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample2.0s

Algorithm
intervals
Results
810.0ms3006×body1280valid
415.0ms2570×body640valid
318.0ms8549×body80valid
143.0ms1264×body320valid
46.0ms590×body160valid