Details

Time bar (total: 3.6s)

analyze508.0ms

Algorithm
search

sample59.0ms

Algorithm
intervals
Results
14.0ms48×body1280invalid
9.0ms47×body640invalid
8.0ms193×body80valid
6.0ms29×body640valid
5.0ms13×body1280valid
2.0ms12×body320invalid
1.0ms11×body320valid
1.0ms26×body80invalid
1.0ms10×body160valid
1.0msbody160invalid

simplify72.0ms

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: 14.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.6b
(/ (* (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

prune70.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New53558
Fresh000
Picked011
Done000
Total53659

Merged error: 0b

Counts
59 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1
associate-*l*
prod-exp cbrt-unprod add-log-exp unswap-sqr
cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series27.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(sinh y)
19.0ms
(* (sin x) (/ (sinh y) x))

simplify37.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0271276
11124241
25001232

prune45.0ms

Filtered
33 candidates to 46 candidates (-39.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh044
Picked011
Done011
Total46652

Merged error: 0b

Counts
52 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

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
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
5.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series48.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ x (sinh y))
7.0ms
(sinh y)
19.0ms
(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0475938
11984886
25001865

prune98.0ms

Filtered
98 candidates to 119 candidates (-21.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1172119
Fresh213
Picked011
Done022
Total1196125

Merged error: 0b

Counts
125 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
pow1
sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
6.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series33.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(sinh y)
19.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0311427
11229381
25002358

prune56.0ms

Filtered
58 candidates to 78 candidates (-34.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done033
Total78684

Merged error: 0b

Counts
84 → 6

regimes194.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

analyze331.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
459.0ms1552×body1280invalid
265.0ms6103×body80valid
247.0ms1256×body640invalid
146.0ms696×body640valid
141.0ms402×body1280valid
82.0ms611×body320invalid
76.0ms519×body320valid
34.0ms623×body80invalid
28.0ms301×body160invalid
26.0ms280×body160valid

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