Details

Time bar (total: 6.2s)

sample110.0ms

Algorithm
intervals
Results
38.0ms100×body1280valid
25.0ms88×body640valid
15.0ms286×body80valid
6.0ms37×body320valid
3.0ms25×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

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)

rewrite25.0ms

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
7.0ms
(/ (sinh y) y)
15.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series240.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (sinh y) y)
93.0ms
(* (cos x) (/ (sinh y) y))
62.0ms
(sinh y)

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0324427
11285383
25001381

prune170.0ms

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)

rewrite63.0ms

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×rec-exp 1-exp 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 → 192
Calls
4 calls:
10.0ms
(/ 1 (/ y (sinh y)))
5.0ms
(/ y (sinh y))
37.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
1.0ms
(sinh y)

series331.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ 1 (/ y (sinh y)))
89.0ms
(/ y (sinh y))
93.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
62.0ms
(sinh y)

simplify77.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06991428
134131229
250021084

prune379.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
5.0ms
(/ y (sinh y))
1.0ms
(sinh y)
13.0ms
(/ (cos x) (/ y (sinh y)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ y (sinh y))
61.0ms
(sinh y)
97.0ms
(/ (cos x) (/ y (sinh y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0478937
12046888
25001872

prune275.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
898×times-frac
441×add-sqr-sqrt
412×*-un-lft-identity
406×add-cube-cbrt
187×associate-*r*
106×add-exp-log
66×div-exp
59×div-inv
36×add-cbrt-cube
30×associate-/r/
29×sinh-def
17×cbrt-undiv rec-exp 1-exp prod-exp associate-/r*
16×associate-/l*
10×unswap-sqr
7×pow1
5×cbrt-unprod
4×add-log-exp
3×associate-*l*
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
4 → 513
Calls
4 calls:
18.0ms
(/ (/ 1 y) (/ 1 (sinh y)))
6.0ms
(/ 1 (sinh y))
77.0ms
(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
1.0ms
(sinh y)

series376.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ (/ 1 y) (/ 1 (sinh y)))
71.0ms
(/ 1 (sinh y))
136.0ms
(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
58.0ms
(sinh y)

simplify127.0ms

Algorithm
egg-herbie
Counts
525 → 525
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
019795033
150014386

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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
064

end0.0ms

sample2.1s

Algorithm
intervals
Results
818.0ms3023×body1280valid
395.0ms2428×body640valid
322.0ms8645×body80valid
135.0ms1251×body320valid
50.0ms664×body160valid