Details

Time bar (total: 4.9s)

analyze334.0ms

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

sample77.0ms

Algorithm
intervals
Results
17.0ms46×body1280invalid
16.0ms43×body1280valid
8.0ms42×body640valid
8.0ms39×body640invalid
7.0ms134×body80valid
4.0ms27×body320valid
2.0ms18×body320invalid
1.0ms20×body80invalid
1.0ms10×body160valid
1.0ms6×body160invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
07647
17647

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 2 expressions with local error:

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

series21.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04956568
14956568

prune88.0ms

Filtered
53 candidates to 67 candidates (-26.4%)
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))
0.2b
(/ 1 (/ y (sin y)))

rewrite30.0ms

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:
14.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
9.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050251761

prune174.0ms

Filtered
124 candidates to 187 candidates (-50.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1852187
Fresh246
Picked011
Done011
Total1878195

Merged error: 0.0b

Counts
195 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
42.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
218.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
4.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049635934
149635934

prune437.0ms

Filtered
256 candidates to 488 candidates (-90.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4862488
Fresh145
Picked011
Done022
Total4879496

Merged error: 0b

Counts
496 → 9

localize19.0ms

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
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×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))

series75.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify39.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05369266

prune80.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done033
Total56965

Merged error: 0b

Counts
65 → 9

regimes293.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

analyze329.0ms

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

sample2.2s

Algorithm
intervals
Results
515.0ms1448×body1280valid
455.0ms1503×body1280invalid
273.0ms1306×body640valid
252.0ms1264×body640invalid
217.0ms4282×body80valid
98.0ms661×body320valid
91.0ms622×body320invalid
30.0ms303×body160valid
29.0ms509×body80invalid
27.0ms267×body160invalid

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