Details

Time bar (total: 4.4s)

sample84.0ms

Algorithm
intervals
Results
30.0ms101×body1280valid
16.0ms86×body640valid
13.0ms295×body80valid
8.0ms32×body320valid
2.0ms25×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×cosh-def associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
8.0ms
(* (cosh x) (/ (sin y) y))
1.0ms
(cosh x)
3.0ms
(/ (sin y) y)

series144.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* (cosh x) (/ (sin y) y))
47.0ms
(cosh x)
25.0ms
(/ (sin y) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0291432
11116386
25002364

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×cosh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(cosh x)
4.0ms
(* (cosh x) (sin y))
4.0ms
(/ (* (cosh x) (sin y)) y)

series188.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(cosh x)
67.0ms
(* (cosh x) (sin y))
74.0ms
(/ (* (cosh x) (sin y)) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0264317
11025269
25001241

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (sin y))
0.3b
(* (* (cosh x) (sin y)) (/ 1 y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×times-frac
7×cbrt-unprod
4×cosh-def div-exp associate-*l* pow-prod-down associate-*l/
3×add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
0.0ms
(cosh x)
4.0ms
(* (cosh x) (sin y))
12.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series188.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(cosh x)
68.0ms
(* (cosh x) (sin y))
75.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify54.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0400468
11826384
25001351

prune165.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (sin y))
0.1b
(/ y (* (cosh x) (sin y)))
0.4b
(/ 1 (/ y (* (cosh x) (sin y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
32×add-exp-log
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×div-exp
9×associate-/r*
7×pow1 cbrt-undiv cosh-def
6×associate-*l/ associate-/r/ div-inv associate-/l*
5×prod-exp
4×add-log-exp
3×rec-exp 1-exp associate-*r* associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 109
Calls
4 calls:
0.0ms
(cosh x)
4.0ms
(* (cosh x) (sin y))
3.0ms
(/ y (* (cosh x) (sin y)))
8.0ms
(/ 1 (/ y (* (cosh x) (sin y))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cosh x)
68.0ms
(* (cosh x) (sin y))
124.0ms
(/ y (* (cosh x) (sin y)))
82.0ms
(/ 1 (/ y (* (cosh x) (sin y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0441844
11962691
25001638

prune220.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes118.0ms

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
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
913.0ms2913×body1280valid
457.0ms2471×body640valid
364.0ms8548×body80valid
165.0ms1253×body320valid
54.0ms575×body160valid