Details

Time bar (total: 5.1s)

sample86.0ms

Algorithm
intervals
Results
37.0ms124×body1280valid
15.0ms81×body640valid
10.0ms258×body80valid
4.0ms33×body320valid
2.0ms19×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
16.0ms
(* (cosh x) (/ (sin y) y))
14.0ms
(/ (sin y) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271408
11085363
25001351

prune180.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (log1p (expm1 (/ (sin y) y))))
0.1b
(/ (sin y) y)
0.5b
(expm1 (/ (sin y) y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1
4×log1p-expm1-u
3×expm1-log1p-u associate-*r* associate-*l* associate-/r* associate-/l* add-log-exp
1×cbrt-undiv expm1-log1p cosh-def frac-2neg div-exp pow-prod-down associate-*l/ prod-exp clear-num *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
3 → 61
Calls
3 calls:
8.0ms
(* (cosh x) (log1p (expm1 (/ (sin y) y))))
9.0ms
(/ (sin y) y)
1.0ms
(expm1 (/ (sin y) y))

series181.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(* (cosh x) (log1p (expm1 (/ (sin y) y))))
25.0ms
(/ (sin y) y)
45.0ms
(expm1 (/ (sin y) y))

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0291419
11010367
25001356

prune223.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (log1p (expm1 (/ 1 (/ y (sin y))))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
0.5b
(expm1 (/ 1 (/ y (sin y))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
19×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l*
5×log1p-expm1-u
4×cbrt-undiv expm1-log1p-u add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp clear-num
1×expm1-log1p cosh-def pow-flip pow-prod-down associate-*l/ prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow expm1-udef unswap-sqr
Counts
4 → 139
Calls
4 calls:
12.0ms
(* (cosh x) (log1p (expm1 (/ 1 (/ y (sin y))))))
6.0ms
(/ y (sin y))
12.0ms
(/ 1 (/ y (sin y)))
1.0ms
(expm1 (/ 1 (/ y (sin y))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cosh x) (log1p (expm1 (/ 1 (/ y (sin y))))))
30.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))
42.0ms
(expm1 (/ 1 (/ y (sin y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05281037
12276901
25001824

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (log1p (expm1 (/ (/ 1 y) (/ 1 (sin y))))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))
0.5b
(expm1 (/ (/ 1 y) (/ 1 (sin y))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
212×add-sqr-sqrt
210×add-cube-cbrt *-un-lft-identity
50×add-exp-log
34×div-exp
30×div-inv
20×add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv rec-exp 1-exp
7×pow1
5×log1p-expm1-u
4×expm1-log1p-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num
1×expm1-log1p cosh-def pow-flip pow-prod-down associate-*l/ prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ inv-pow expm1-udef unswap-sqr
Counts
4 → 294
Calls
4 calls:
8.0ms
(* (cosh x) (log1p (expm1 (/ (/ 1 y) (/ 1 (sin y))))))
10.0ms
(/ 1 (sin y))
20.0ms
(/ (/ 1 y) (/ 1 (sin y)))
1.0ms
(expm1 (/ (/ 1 y) (/ 1 (sin y))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cosh x) (log1p (expm1 (/ (/ 1 y) (/ 1 (sin y))))))
14.0ms
(/ 1 (sin y))
32.0ms
(/ (/ 1 y) (/ 1 (sin y)))
41.0ms
(expm1 (/ (/ 1 y) (/ 1 (sin y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013523031
150012491

prune601.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample2.4s

Algorithm
intervals
Results
911.0ms2996×body1280valid
466.0ms2507×body640valid
362.0ms8437×body80valid
167.0ms1281×body320valid
59.0ms633×body160valid