Details

Time bar (total: 3.5s)

analyze325.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
37.5%50%12.6%7
37.5%50%12.6%8
43.7%37.5%18.8%9
43.7%37.5%18.8%10
46.8%31.2%22%11
46.8%31.2%22%12
48.4%28.1%23.5%13
48.4%28.1%23.5%14

sample72.0ms

Algorithm
intervals
Results
15.0ms54×body1280invalid
14.0ms43×body1280valid
9.0ms46×body640valid
6.0ms32×body640invalid
6.0ms134×body80valid
3.0ms25×body320valid
3.0ms21×body320invalid
1.0msbody160invalid
1.0msbody160valid
1.0ms12×body80invalid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049097
149097

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(* (cos x) (/ (sinh 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
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) y)
1.0ms
(sinh y)
6.0ms
(* (cos x) (/ (sinh y) y))

series43.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (sinh y) y)
8.0ms
(sinh y)
25.0ms
(* (cos x) (/ (sinh y) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04929621
14929621

prune72.0ms

Filtered
61 candidates to 77 candidates (-26.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74377
Fresh000
Picked011
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (cos x) (sinh y))
0.2b
(/ (* (cos x) (sinh y)) y)

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
(* (cos x) (sinh y))
5.0ms
(/ (* (cos x) (sinh y)) y)

series68.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(sinh y)
30.0ms
(* (cos x) (sinh y))
27.0ms
(/ (* (cos x) (sinh y)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05964417

prune53.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0b

Counts
62 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(* (cos x) (* (sinh y) (/ 1 y)))
0.2b
(* (sinh y) (/ 1 y))

rewrite17.0ms

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
(* (cos x) (* (sinh y) (/ 1 y)))
7.0ms
(* (sinh y) (/ 1 y))

series36.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
18.0ms
(* (cos x) (* (sinh y) (/ 1 y)))
11.0ms
(* (sinh y) (/ 1 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05027539

prune65.0ms

Filtered
53 candidates to 81 candidates (-52.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done022
Total81485

Merged error: 0b

Counts
85 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(exp (/ (sinh y) y))
0.1b
(pow (exp (/ (sinh y) y)) (cos x))
0.3b
(log (pow (exp (/ (sinh y) y)) (cos x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
26×exp-prod
14×pow-pow
add-exp-log log-prod
unpow-prod-down add-cbrt-cube
pow1 add-log-exp
pow-unpow rem-log-exp associate-/r* div-inv associate-/l*
pow-to-exp pow-exp sqr-pow
cbrt-undiv sinh-def frac-2neg div-exp clear-num log-pow rem-exp-log associate-/l/
Counts
4 → 97
Calls
4 calls:
3.0ms
(/ (sinh y) y)
3.0ms
(exp (/ (sinh y) y))
5.0ms
(pow (exp (/ (sinh y) y)) (cos x))
4.0ms
(log (pow (exp (/ (sinh y) y)) (cos x)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (sinh y) y)
11.0ms
(exp (/ (sinh y) y))
36.0ms
(pow (exp (/ (sinh y) y)) (cos x))
40.0ms
(log (pow (exp (/ (sinh y) y)) (cos x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049821112
149821112

prune127.0ms

Filtered
86 candidates to 109 candidates (-26.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done033
Total1094113

Merged error: 0b

Counts
113 → 4

regimes203.0ms

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
077
177

end0.0ms

sample2.0s

Algorithm
intervals
Results
457.0ms1456×body1280valid
403.0ms1459×body1280invalid
233.0ms1256×body640valid
227.0ms1241×body640invalid
180.0ms4327×body80valid
76.0ms619×body320valid
73.0ms591×body320invalid
29.0ms342×body160valid
28.0ms549×body80invalid
28.0ms326×body160invalid

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