Details

Time bar (total: 3.9s)

sample92.0ms

Algorithm
intervals
Results
33.0ms106×body1280valid
14.0ms70×body640valid
13.0ms268×body80valid
7.0ms46×body320valid
6.0ms22×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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

series21.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0264392
11058349
25002337

prune96.0ms

Filtered
67 candidates to 50 candidates (25.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New571067
Fresh000
Picked101
Done000
Total581068

Merged error: 0.0b

Counts
68 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×add-exp-log times-frac add-cbrt-cube
14×associate-*r*
12×pow1 associate-*l*
11×cosh-def sqrt-div sqrt-prod
prod-exp cbrt-unprod
frac-times associate-*r/
pow-prod-down associate-*l/ add-log-exp unswap-sqr
cbrt-undiv div-exp associate-/r* associate-/l*
*-commutative div-inv
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 110
Calls
4 calls:
1.0ms
(sqrt (cosh x))
8.0ms
(* (sqrt (cosh x)) (/ (sin y) y))
9.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
4.0ms
(/ (sin y) y)

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (cosh x))
21.0ms
(* (sqrt (cosh x)) (/ (sin y) y))
20.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
4.0ms
(/ (sin y) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0405850
11731734
25001723

prune118.0ms

Filtered
122 candidates to 87 candidates (28.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh369
Picked011
Done000
Total1248132

Merged error: 0b

Counts
132 → 8

localize8.0ms

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))

rewrite35.0ms

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:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
3.0ms
(/ y (sin y))

series38.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
4.0ms
(/ 1 (/ y (sin y)))
6.0ms
(/ y (sin y))

simplify82.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06171319
129861147
250011024

prune143.0ms

Filtered
187 candidates to 115 candidates (38.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1861187
Fresh156
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
add-exp-log add-cbrt-cube
pow1
associate-*r* associate-/r* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
4.0ms
(/ (cosh x) y)
6.0ms
(* (/ (cosh x) y) (sin y))

series39.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (cosh x) y)
26.0ms
(* (/ (cosh x) y) (sin y))

simplify30.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0283386
1969341
25001324

prune51.0ms

Filtered
66 candidates to 50 candidates (24.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done022
Total66874

Merged error: 0b

Counts
74 → 8

regimes216.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108
1108

end0.0ms

sample2.6s

Algorithm
intervals
Results
963.0ms2986×body1280valid
493.0ms2414×body640valid
393.0ms8563×body80valid
174.0ms1214×body320valid
66.0ms642×body160valid

Profiling

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