Details

Time bar (total: 4.1s)

sample71.0ms

Algorithm
intervals
Results
27.0ms99×body1280valid
13.0ms77×body640valid
11.0ms290×body80valid
4.0ms38×body320valid
1.0ms18×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

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

rewrite12.0ms

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:
2.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series238.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (sinh y) y)
91.0ms
(* (cos x) (/ (sinh y) y))
62.0ms
(sinh y)

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0339443
11326398
25001396

prune364.0ms

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)

rewrite41.0ms

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))
21.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
5.0ms
(/ 1 (/ y (sinh y)))
1.0ms
(sinh y)

series336.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ y (sinh y))
90.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
88.0ms
(/ 1 (/ y (sinh y)))
60.0ms
(sinh y)

simplify81.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07181454
134641253
250011108

prune387.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b
(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite4.0ms

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:
0.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
3.0ms
(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
126.0ms
(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify100.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0130288
1599246
23464246
35001246

prune107.0ms

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

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample2.0s

Algorithm
intervals
Results
796.0ms3006×body1280valid
412.0ms2570×body640valid
315.0ms8549×body80valid
137.0ms1264×body320valid
44.0ms590×body160valid