Details

Time bar (total: 7.2s)

sample91.0ms

Algorithm
intervals
Results
39.0ms104×body1280valid
17.0ms80×body640valid
13.0ms270×body80valid
6.0ms43×body320valid
2.0ms15×body160valid

simplify92.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series103.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ (sin y) y))
30.0ms
(/ (sin y) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0264392
11058349
25002337

prune137.0ms

Filtered
67 candidates to 50 candidates (74.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60767
Fresh000
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 178
Calls
3 calls:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
27.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06171321
129811147
250021024

prune290.0ms

Filtered
187 candidates to 114 candidates (61.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1852187
Fresh246
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
5×associate-*r/
4×div-exp pow-prod-down
3×cosh-def un-div-inv unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative add-log-exp
1×associate-*l/ div-inv
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))

series105.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
29.0ms
(* (sin y) (/ 1 y))

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0334408
11429326
25001297

prune104.0ms

Filtered
69 candidates to 43 candidates (62.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done022
Total69877

Merged error: 0b

Counts
77 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
2636×times-frac
1404×cbrt-prod
1154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×div-inv
53×associate-/l*
21×cbrt-div
18×associate-/r/
16×associate-/r*
13×add-exp-log
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 1004
Calls
4 calls:
31.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
3.0ms
(cbrt (/ y (sin y)))
6.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
140.0ms
(cbrt (/ y (sin y)))
134.0ms
(cbrt (/ y (sin y)))
144.0ms
(cbrt (/ y (sin y)))

simplify230.0ms

Algorithm
egg-herbie
Counts
1016 → 1016
Iterations

Useful iterations: 1 (60.0ms)

IterNodesCost
0360320937
1500120030

prune2.2s

Filtered
1016 candidates to 545 candidates (53.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New101511016
Fresh134
Picked101
Done033
Total101771024

Merged error: 0b

Counts
1024 → 7

regimes132.0ms

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
074
174

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s3009×body1280valid
506.0ms2381×body640valid
412.0ms8380×body80valid
197.0ms1305×body320valid
66.0ms610×body160valid

Profiling

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