Details

Time bar (total: 3.8s)

analyze338.0ms

Algorithm
search

sample60.0ms

Algorithm
intervals
Results
15.0ms40×body1280invalid
8.0ms189×body80valid
7.0ms36×body640invalid
6.0ms28×body640valid
4.0ms11×body1280valid
3.0ms24×body320invalid
3.0ms21×body320valid
1.0ms17×body80invalid
1.0ms10×body160invalid
1.0msbody160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.5b
(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series46.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
19.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0280320
11233272
25001255

prune83.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New50858
Fresh000
Picked101
Done000
Total51859

Merged error: 0.2b

Counts
59 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (/ (sinh y) x))
0.2b
(/ (sinh y) x)

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
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))
3.0ms
(/ (sinh y) x)

series42.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
21.0ms
(* (sin x) (/ (sinh y) x))
13.0ms
(/ (sinh y) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0328433
11261387
25001361

prune78.0ms

Filtered
56 candidates to 77 candidates (-37.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh167
Picked011
Done000
Total77885

Merged error: 0.2b

Counts
85 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (* (sinh y) (/ 1 x)))
0.4b
(* (sinh y) (/ 1 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
cbrt-unprod
associate-*r/ associate-*l*
sinh-def
div-exp pow-prod-down
add-log-exp unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
div-inv
Counts
3 → 72
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
7.0ms
(* (sinh y) (/ 1 x))

series43.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
16.0ms
(* (sinh y) (/ 1 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0407464
11555379
25001338

prune81.0ms

Filtered
55 candidates to 81 candidates (-47.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New80181
Fresh246
Picked011
Done011
Total82789

Merged error: 0.2b

Counts
89 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
0.2b
(* (sin x) (/ 1 x))
0.3b
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
59×add-cbrt-cube
50×prod-exp
28×cbrt-unprod
21×add-sqr-sqrt div-exp
18×pow1
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
13×associate-*r/
12×cbrt-undiv
pow-prod-down
sinh-def
rec-exp 1-exp un-div-inv associate-/l/
frac-times associate-*l* associate-*l/ add-log-exp
associate-/r* unswap-sqr
*-commutative div-inv
frac-2neg clear-num associate-/l*
Counts
4 → 119
Calls
4 calls:
1.0ms
(sinh y)
11.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
7.0ms
(* (sin x) (/ 1 x))
11.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sinh y)
19.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
4.0ms
(* (sin x) (/ 1 x))
20.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0649954
13404686
25001655

prune101.0ms

Filtered
77 candidates to 131 candidates (-70.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1301131
Fresh134
Picked011
Done022
Total1317138

Merged error: 0.2b

Counts
138 → 7

regimes153.0ms

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
0114
1114

end0.0ms

analyze339.0ms

Algorithm
search

sample2.0s

Algorithm
intervals
Results
627.0ms1446×body1280invalid
281.0ms6040×body80valid
240.0ms1220×body640invalid
155.0ms721×body640valid
145.0ms386×body1280valid
92.0ms666×body320invalid
82.0ms542×body320valid
37.0ms336×body160invalid
35.0ms616×body80invalid
31.0ms311×body160valid

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