Details

Time bar (total: 3.6s)

analyze342.0ms

Algorithm
search

sample53.0ms

Algorithm
intervals
Results
10.0ms33×body1280invalid
9.0ms193×body80valid
8.0ms40×body640invalid
4.0ms13×body1280valid
4.0ms20×body640valid
2.0ms18×body320valid
2.0ms11×body320invalid
1.0ms25×body80invalid
1.0ms12×body160valid
1.0ms10×body160invalid

simplify71.0ms

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: 15.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (sinh y))
15.8b
(/ (* (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)
16.0ms
(* (sin x) (sinh y))
22.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune81.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New51758
Fresh000
Picked101
Done000
Total52759

Merged error: 0.0b

Counts
59 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.4b
(* (sin x) (/ (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:
3.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series43.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (sinh y) x)
7.0ms
(sinh y)
22.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune84.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh156
Picked011
Done000
Total76884

Merged error: 0b

Counts
84 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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)
9.0ms
(* (sinh y) (/ 1 x))
7.0ms
(* (sin x) (* (sinh y) (/ 1 x)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
13.0ms
(* (sinh y) (/ 1 x))
19.0ms
(* (sin x) (* (sinh y) (/ 1 x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0407464
11555379
25002338

prune89.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh156
Picked101
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.2b
(* (sin x) (/ 1 x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
27×prod-exp
18×add-sqr-sqrt
17×pow1
15×cbrt-unprod
14×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt times-frac
pow-prod-down
associate-*r/
div-exp
sinh-def associate-*l*
cbrt-undiv rec-exp 1-exp un-div-inv add-log-exp unswap-sqr
frac-times associate-*l/ *-commutative
div-inv
Counts
3 → 79
Calls
3 calls:
1.0ms
(sinh y)
9.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
7.0ms
(* (sin x) (/ 1 x))

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
20.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
4.0ms
(* (sin x) (/ 1 x))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0459559
12083439
25001415

prune78.0ms

Filtered
53 candidates to 88 candidates (-66.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh145
Picked011
Done011
Total88795

Merged error: 0b

Counts
95 → 7

regimes213.0ms

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
0116
1116

end0.0ms

analyze342.0ms

Algorithm
search

sample1.8s

Algorithm
intervals
Results
466.0ms1471×body1280invalid
279.0ms6086×body80valid
245.0ms1218×body640invalid
156.0ms711×body640valid
136.0ms374×body1280valid
90.0ms639×body320invalid
74.0ms527×body320valid
32.0ms562×body80invalid
31.0ms314×body160invalid
29.0ms302×body160valid

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