Details

Time bar (total: 5.5s)

sample78.0ms

Algorithm
intervals
Results
30.0ms100×body1280valid
14.0ms88×body640valid
10.0ms286×body80valid
4.0ms37×body320valid
2.0ms25×body160valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:
7.0ms
(/ (sinh y) y)
17.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series237.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (sinh y) y)
91.0ms
(* (cos x) (/ (sinh y) y))
62.0ms
(sinh y)

simplify39.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0339443
11326398
25001396

prune186.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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:
11.0ms
(/ 1 (/ y (sinh y)))
5.0ms
(/ y (sinh y))
53.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
1.0ms
(sinh y)

series318.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ 1 (/ y (sinh y)))
87.0ms
(/ y (sinh y))
89.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
60.0ms
(sinh y)

simplify78.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07181454
134641253
250011108

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
5.0ms
(/ y (sinh y))
14.0ms
(/ (cos x) (/ y (sinh y)))
1.0ms
(sinh y)

series248.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ y (sinh y))
97.0ms
(/ (cos x) (/ y (sinh y)))
60.0ms
(sinh y)

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0492955
12086904
25001888

prune408.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ 1 (/ y (sinh y))))
0.0b
(* (cos x) (expm1 (log1p (/ 1 (/ y (sinh y))))))
0.0b
(sinh y)
0.0b
(expm1 (log1p (/ 1 (/ y (sinh y)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
1×sinh-def log1p-udef expm1-log1p log1p-expm1 pow-prod-down prod-exp *-commutative cbrt-unprod expm1-udef unswap-sqr
Counts
4 → 52
Calls
4 calls:
0.0ms
(log1p (/ 1 (/ y (sinh y))))
9.0ms
(* (cos x) (expm1 (log1p (/ 1 (/ y (sinh y))))))
2.0ms
(sinh y)
0.0ms
(expm1 (log1p (/ 1 (/ y (sinh y)))))

series713.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(log1p (/ 1 (/ y (sinh y))))
162.0ms
(* (cos x) (expm1 (log1p (/ 1 (/ y (sinh y))))))
57.0ms
(sinh y)
406.0ms
(expm1 (log1p (/ 1 (/ y (sinh y)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0465519
11727446
25002430

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
0104
1104

end0.0ms

sample2.1s

Algorithm
intervals
Results
811.0ms3023×body1280valid
395.0ms2428×body640valid
321.0ms8645×body80valid
137.0ms1251×body320valid
52.0ms664×body160valid