Details

Time bar (total: 4.0s)

analyze363.0ms

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

sample65.0ms

Algorithm
intervals
Results
15.0ms45×body1280valid
7.0ms156×body80valid
6.0ms32×body640valid
2.0ms14×body320valid
1.0ms9×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049887
149887

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

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)

series27.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05777568

prune84.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:
20.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
4.0ms
(/ 1 (/ y (sin y)))
6.0ms
(/ y (sin y))

simplify73.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049521761
149521761

prune177.0ms

Filtered
122 candidates to 187 candidates (-53.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1834187
Fresh426
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cosh x) y)
0.1b
(/ 1 (sin y))
0.3b
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
0.3b
(/ 1 (/ 1 (sin y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
149×add-sqr-sqrt
114×*-un-lft-identity
108×add-exp-log
104×add-cube-cbrt
58×div-exp
44×associate-*r*
34×add-cbrt-cube
26×prod-exp
22×rec-exp 1-exp
19×associate-/r*
14×cbrt-undiv unswap-sqr
13×associate-*l*
12×div-inv
9×pow1 associate-/l*
6×cbrt-unprod
5×pow-flip
4×add-log-exp
3×frac-2neg clear-num inv-pow
2×associate-/r/
1×frac-times cosh-def associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/ remove-double-div
Counts
4 → 260
Calls
4 calls:
3.0ms
(/ (cosh x) y)
3.0ms
(/ 1 (sin y))
22.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
9.0ms
(/ 1 (/ 1 (sin y)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (cosh x) y)
4.0ms
(/ 1 (sin y))
17.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
2.0ms
(/ 1 (/ 1 (sin y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
050392289

prune202.0ms

Filtered
140 candidates to 272 candidates (-94.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2711272
Fresh145
Picked011
Done022
Total2728280

Merged error: 0b

Counts
280 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
439×times-frac
215×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-exp-log div-inv
19×div-exp associate-/r* add-cbrt-cube associate-/l*
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
2×associate-/l/
1×cosh-def pow-flip associate-/r/ inv-pow
Counts
3 → 278
Calls
3 calls:
4.0ms
(/ (cosh x) y)
7.0ms
(/ 1 (sin y))
12.0ms
(/ (/ (cosh x) y) (/ 1 (sin y)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (cosh x) y)
4.0ms
(/ 1 (sin y))
18.0ms
(/ (/ (cosh x) y) (/ 1 (sin y)))

simplify125.0ms

Algorithm
egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049174440
149174440

prune221.0ms

Filtered
172 candidates to 287 candidates (-66.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2870287
Fresh044
Picked011
Done033
Total2878295

Merged error: 0b

Counts
295 → 8

regimes275.0ms

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

sample1.9s

Algorithm
intervals
Results
531.0ms1520×body1280valid
239.0ms1231×body640valid
191.0ms4289×body80valid
87.0ms633×body320valid
30.0ms327×body160valid

Profiling

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