Details

Time bar (total: 4.4s)

analyze527.0ms

Algorithm
search

sample75.0ms

Algorithm
intervals
Results
15.0ms43×body1280valid
13.0ms41×body1280invalid
12.0ms42×body640valid
8.0ms40×body640invalid
7.0ms135×body80valid
3.0ms23×body320valid
2.0ms16×body320invalid
1.0ms13×body160valid
1.0ms20×body80invalid
1.0ms10×body160invalid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

prune3.0ms

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 3 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.0b
(cosh x)
0.1b
(/ (sin 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
cosh-def associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
1.0ms
(cosh x)
4.0ms
(/ (sin y) y)

series27.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ (sin y) y))
6.0ms
(cosh x)
4.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0291432
11111386
25001364

prune85.0ms

Filtered
59 candidates to 78 candidates (-32.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 0b

Counts
79 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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-*l*
associate-*r/
cosh-def div-exp pow-prod-down
un-div-inv add-log-exp unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp *-commutative
associate-*l/ div-inv
Counts
3 → 71
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
19.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify40.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0361448
11482363
25002334

prune81.0ms

Filtered
53 candidates to 80 candidates (-50.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh055
Picked011
Done011
Total80787

Merged error: 0b

Counts
87 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
21.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms
(cbrt (/ (sin y) y))
4.0ms
(cbrt (/ (sin y) y))
4.0ms
(cbrt (/ (sin y) y))

series99.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
22.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))
23.0ms
(cbrt (/ (sin y) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03001399
110621348
250011289

prune156.0ms

Filtered
126 candidates to 156 candidates (-23.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh044
Picked011
Done022
Total1567163

Merged error: 0b

Counts
163 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify37.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0108276
1256257
2874229
35001192

prune53.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done033
Total56763

Merged error: 0b

Counts
63 → 7

regimes251.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

analyze350.0ms

Algorithm
search

sample2.2s

Algorithm
intervals
Results
540.0ms1456×body1280valid
433.0ms1423×body1280invalid
255.0ms1214×body640valid
248.0ms1220×body640invalid
230.0ms4408×body80valid
90.0ms619×body320invalid
88.0ms606×body320valid
33.0ms310×body160invalid
31.0ms316×body160valid
29.0ms505×body80invalid

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