Details

Time bar (total: 4.3s)

sample93.0ms

Algorithm
intervals
Results
34.0ms101×body1280valid
17.0ms274×body80valid
14.0ms71×body640valid
6.0ms45×body320valid
2.0ms21×body160valid

simplify88.0ms

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

series23.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0264392
11058349
25002337

prune80.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
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 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
5×associate-*r/
4×div-exp pow-prod-down
3×cosh-def un-div-inv unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative add-log-exp
1×associate-*l/ div-inv
Counts
2 → 63
Calls
2 calls:
7.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series21.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
4.0ms
(* (sin y) (/ 1 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0334408
11429326
25001297

prune73.0ms

Filtered
43 candidates to 69 candidates (-60.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh066
Picked011
Done011
Total68977

Merged error: 0.0b

Counts
77 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.3b
(/ 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))))
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06171319
129861147
250011024

prune137.0ms

Filtered
114 candidates to 187 candidates (-64.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1861187
Fresh246
Picked011
Done022
Total1888196

Merged error: 0.0b

Counts
196 → 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)))

rewrite90.0ms

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:
44.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018414718
150024081

prune431.0ms

Filtered
258 candidates to 488 candidates (-89.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4880488
Fresh044
Picked011
Done033
Total4888496

Merged error: 0.0b

Counts
496 → 8

regimes258.0ms

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
074
174

end0.0ms

sample2.6s

Algorithm
intervals
Results
986.0ms3065×body1280valid
519.0ms2474×body640valid
415.0ms8665×body80valid
183.0ms1271×body320valid
65.0ms671×body160valid

Profiling

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