Details

Time bar (total: 4.0s)

analyze369.0ms

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
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14

sample76.0ms

Algorithm
intervals
Results
19.0ms54×body1280valid
12.0ms41×body1280invalid
11.0ms42×body640invalid
7.0ms36×body640valid
7.0ms132×body80valid
3.0ms19×body320valid
2.0ms18×body320invalid
1.0ms15×body160valid
1.0ms16×body80invalid
1.0msbody160invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049887
149887

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
0.2b
(* (cosh x) (/ (sin y) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
3.0ms
(/ (sin y) y)
6.0ms
(* (cosh x) (/ (sin y) y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (sin y) y)
16.0ms
(* (cosh x) (/ (sin y) y))

simplify47.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05777568

prune84.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New59867
Fresh000
Picked011
Done000
Total59968

Merged error: 0.3b

Counts
68 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (sin y))
0.5b
(* (* (cosh x) (sin y)) (/ 1 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
pow1 times-frac
cbrt-unprod
div-exp associate-*l* pow-prod-down associate-*l/
cosh-def
cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
2 → 59
Calls
2 calls:
4.0ms
(* (cosh x) (sin y))
8.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series31.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (cosh x) (sin y))
16.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify38.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04969539
14969539

prune70.0ms

Filtered
40 candidates to 65 candidates (-62.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh167
Picked101
Done011
Total66874

Merged error: 0.3b

Counts
74 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
23.0ms
(cbrt y)
20.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05165356

prune83.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0.3b

Counts
93 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cosh x) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt (sin y)) y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
add-log-exp
cbrt-undiv pow1/3 div-exp associate-*l/
cosh-def
frac-times associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
13.0ms
(* (* (cosh x) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt (sin y)) y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series71.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* (cosh x) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt (sin y)) y))
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04945790
14945790

prune68.0ms

Filtered
62 candidates to 94 candidates (-51.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done022
Total948102

Merged error: 0.3b

Counts
102 → 8

regimes264.0ms

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
077
177

end0.0ms

sample2.4s

Algorithm
intervals
Results
515.0ms1456×body1280valid
430.0ms1409×body1280invalid
407.0ms4354×body80valid
272.0ms1255×body640valid
247.0ms1228×body640invalid
96.0ms622×body320invalid
88.0ms611×body320valid
35.0ms314×body160invalid
32.0ms324×body160valid
28.0ms495×body80invalid

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