Details

Time bar (total: 4.0s)

sample91.0ms

Algorithm
intervals
Results
32.0ms97×body1280valid
21.0ms85×body640valid
12.0ms248×body80valid
6.0ms40×body320valid
1.0ms13×body160valid

simplify90.0ms

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

localize6.0ms

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))
7.0ms
(cosh x)
4.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0291432
11111386
25001364

prune89.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71778
Fresh000
Picked011
Done000
Total71879

Merged error: 0.0b

Counts
79 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
104×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
pow1 cbrt-undiv prod-exp
associate-/l*
unswap-sqr
rec-exp 1-exp add-log-exp
cosh-def associate-*l* cbrt-unprod
frac-2neg clear-num associate-/r/
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 186
Calls
4 calls:
1.0ms
(cosh x)
14.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
7.0ms
(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06441361
130361184
250021051

prune145.0ms

Filtered
121 candidates to 198 candidates (-63.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1962198
Fresh246
Picked011
Done011
Total1988206

Merged error: 0.0b

Counts
206 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
pow1
associate-*r* associate-/r* associate-/l* add-log-exp
cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(/ (cosh x) y)
6.0ms
(* (/ (cosh x) y) (sin y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
12.0ms
(/ (cosh x) y)
16.0ms
(* (/ (cosh x) y) (sin y))

simplify32.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0296426
1987378
25002351

prune72.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New75277
Fresh325
Picked011
Done022
Total78785

Merged error: 0b

Counts
85 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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))

rewrite25.0ms

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:
12.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series99.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
22.0ms
(cbrt (/ (sin y) y))
25.0ms
(cbrt (/ (sin y) y))
22.0ms
(cbrt (/ (sin y) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03001399
110621348
250011289

prune139.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done033
Total1567163

Merged error: 0b

Counts
163 → 7

regimes236.0ms

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

sample2.7s

Algorithm
intervals
Results
995.0ms3025×body1280valid
523.0ms2543×body640valid
413.0ms8487×body80valid
186.0ms1289×body320valid
66.0ms631×body160valid

Profiling

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