Details

Time bar (total: 3.9s)

sample78.0ms

Algorithm
intervals
Results
32.0ms106×body1280valid
13.0ms291×body80valid
13.0ms67×body640valid
5.0ms37×body320valid
2.0ms16×body160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 add-log-exp
cbrt-undiv cosh-def frac-2neg div-exp clear-num div-inv
Counts
2 → 35
Calls
2 calls:
1.0ms
(cosh x)
4.0ms
(/ (sin y) y)

series74.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(cosh x)
30.0ms
(/ (sin y) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0163183
1474170
21828162
35001162

prune94.0ms

Filtered
41 candidates to 32 candidates (78.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New34741
Fresh000
Picked101
Done000
Total35742

Merged error: 0.0b

Counts
42 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
24×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
21×pow1
10×sqrt-pow1 pow1/2
times-frac
add-exp-log swap-sqr add-cbrt-cube
cosh-def sqrt-div associate-*r* associate-*l*
pow-prod-up
add-log-exp unswap-sqr
pow-prod-down associate-/r* pow-sqr associate-/l*
rem-sqrt-square
cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod div-inv
Counts
4 → 107
Calls
4 calls:
1.0ms
(sqrt (cosh x))
1.0ms
(sqrt (cosh x))
6.0ms
(* (sqrt (cosh x)) (sqrt (cosh x)))
4.0ms
(/ (sin y) y)

series201.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (cosh x))
66.0ms
(sqrt (cosh x))
49.0ms
(* (sqrt (cosh x)) (sqrt (cosh x)))
25.0ms
(/ (sin y) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0261481
11077444
25001421

prune196.0ms

Filtered
119 candidates to 73 candidates (61.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done000
Total1197126

Merged error: 0.0b

Counts
126 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
pow1 cbrt-undiv
add-log-exp
rec-exp frac-2neg 1-exp clear-num
cosh-def pow-flip associate-/r/ inv-pow
Counts
3 → 111
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(cosh x)
22.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0396757
11677668
25001594

prune162.0ms

Filtered
120 candidates to 66 candidates (55.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh055
Picked011
Done011
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(cosh x)
0.2b
(* (sin y) (/ 1 y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp
associate-*l* unswap-sqr
div-exp cbrt-unprod add-log-exp
cbrt-undiv rec-exp cosh-def 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 44
Calls
2 calls:
1.0ms
(cosh x)
8.0ms
(* (sin y) (/ 1 y))

series75.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(cosh x)
26.0ms
(* (sin y) (/ 1 y))

simplify33.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0256229
1991196
25001170

prune79.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh044
Picked011
Done022
Total50757

Merged error: 0.0b

Counts
57 → 7

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
198

end0.0ms

sample2.3s

Algorithm
intervals
Results
922.0ms2937×body1280valid
482.0ms2425×body640valid
388.0ms8536×body80valid
170.0ms1244×body320valid
59.0ms615×body160valid

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