Details

Time bar (total: 6.0s)

sample89.0ms

Algorithm
intervals
Results
32.0ms86×body1280valid
18.0ms94×body640valid
12.0ms261×body80valid
5.0ms37×body320valid
1.0ms14×body160valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
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)

series100.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (cosh x) (/ (sin y) y))
23.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0266390
11055349
25001337

prune232.0ms

Filtered
67 candidates to 50 candidates (74.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New58967
Fresh000
Picked011
Done000
Total581068

Merged error: 0.0b

Counts
68 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
cosh-def frac-2neg clear-num associate-/r/
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))))
7.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
19.0ms
(/ y (sin y))
23.0ms
(/ 1 (/ y (sin y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06151316
129791147
250011021

prune475.0ms

Filtered
187 candidates to 113 candidates (60.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1852187
Fresh448
Picked011
Done011
Total1898197

Merged error: 0.0b

Counts
197 → 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)))

rewrite94.0ms

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
pow1
cbrt-unprod
associate-*l* add-log-exp
cosh-def frac-2neg clear-num associate-/r/
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
40.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
14.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
9.0ms
(/ 1 (sin y))
23.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
018224714
150014081

prune1.1s

Filtered
488 candidates to 257 candidates (52.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4871488
Fresh145
Picked011
Done022
Total4888496

Merged error: 0b

Counts
496 → 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))

rewrite20.0ms

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
pow1
cbrt-unprod
associate-*l*
associate-*r/
div-exp pow-prod-down
cosh-def un-div-inv unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp *-commutative add-log-exp
associate-*l/ div-inv
Counts
2 → 63
Calls
2 calls:
7.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
23.0ms
(* (sin y) (/ 1 y))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336406
11414326
25001298

prune159.0ms

Filtered
69 candidates to 43 candidates (62.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done033
Total69877

Merged error: 0b

Counts
77 → 8

regimes290.0ms

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
1.0s3171×body1280valid
493.0ms2506×body640valid
378.0ms8522×body80valid
165.0ms1209×body320valid
58.0ms607×body160valid

Profiling

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