Details

Time bar (total: 4.4s)

analyze340.0ms

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

sample73.0ms

Algorithm
intervals
Results
21.0ms62×body1280valid
11.0ms37×body1280invalid
9.0ms48×body640invalid
8.0ms40×body640valid
6.0ms126×body80valid
3.0ms20×body320valid
2.0ms13×body320invalid
1.0ms16×body80invalid
1.0ms8×body160valid
0.0ms5×body160invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
10.0ms
(* (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)

simplify48.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05777568

prune86.0ms

Filtered
53 candidates to 67 candidates (-26.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New59867
Fresh000
Picked011
Done000
Total59968

Merged error: 0.0b

Counts
68 → 9

localize10.0ms

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)))

rewrite31.0ms

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)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049521761
149521761

prune172.0ms

Filtered
123 candidates to 187 candidates (-52.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1843187
Fresh167
Picked011
Done011
Total18511196

Merged error: 0.0b

Counts
196 → 11

localize12.0ms

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)))

rewrite102.0ms

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))))
5.0ms
(/ 1 (sin y))
20.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series25.0ms

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

simplify117.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049715934
149715934

prune457.0ms

Filtered
253 candidates to 488 candidates (-92.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New4853488
Fresh268
Picked101
Done022
Total48811499

Merged error: 0b

Counts
499 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
9×pow1 times-frac
7×cbrt-unprod
4×associate-*r/ div-exp associate-*l* pow-prod-down
3×cosh-def
2×cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
1×frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
2 → 59
Calls
2 calls:
4.0ms
(* (sin y) (cosh x))
8.0ms
(* (* (sin y) (cosh x)) (/ 1 y))

series37.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (sin y) (cosh x))
21.0ms
(* (* (sin y) (cosh x)) (/ 1 y))

simplify39.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04949539
14949539

prune50.0ms

Filtered
41 candidates to 65 candidates (-58.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh088
Picked011
Done022
Total651176

Merged error: 0b

Counts
76 → 11

regimes374.0ms

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

sample2.2s

Algorithm
intervals
Results
543.0ms1531×body1280valid
415.0ms1370×body1280invalid
261.0ms1278×body640valid
248.0ms1239×body640invalid
218.0ms4265×body80valid
95.0ms628×body320valid
79.0ms562×body320invalid
31.0ms494×body80invalid
29.0ms298×body160valid
28.0ms258×body160invalid

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