Details

Time bar (total: 5.0s)

sample91.0ms

Algorithm
intervals
Results
34.0ms103×body1280valid
18.0ms87×body640valid
17.0ms294×body80valid
6.0ms40×body320valid
2.0ms16×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

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*
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)

series97.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (cosh x) (/ (sin y) y))
28.0ms
(/ (sin y) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0263392
11063349
25001337

prune133.0ms

Filtered
67 candidates to 50 candidates (74.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh000
Picked101
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
20×times-frac
19×add-exp-log add-cbrt-cube
14×associate-*r*
12×associate-*l*
10×pow1 cosh-def sqrt-div
8×sqrt-prod
7×prod-exp cbrt-unprod
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ unswap-sqr
3×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
2×*-commutative div-inv
1×frac-2neg clear-num
Counts
3 → 96
Calls
3 calls:
8.0ms
(* (sqrt (cosh x)) (/ (sin y) y))
9.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
4.0ms
(/ (sin y) y)

series197.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(* (sqrt (cosh x)) (/ (sin y) y))
73.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
24.0ms
(/ (sin y) y)

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0382783
11653668
25001666

prune208.0ms

Filtered
105 candidates to 75 candidates (71.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh156
Picked011
Done000
Total1048112

Merged error: 0b

Counts
112 → 8

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)))

rewrite32.0ms

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

series123.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
28.0ms
(/ 1 (/ y (sin y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06161321
129861149
250011026

prune288.0ms

Filtered
187 candidates to 115 candidates (61.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh066
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (sin y)))
0.2b
(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (sin y))) (* (sqrt 2) y))
0.5b
(* (sqrt 2) y)
0.5b
(* (sqrt (+ (exp x) (exp (- x)))) (sin y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
19×associate-*l*
16×sqrt-div
14×*-un-lft-identity prod-exp cbrt-unprod
13×pow1
12×add-cube-cbrt associate-*l/ sqrt-prod
7×associate-*r*
6×cbrt-undiv cosh-def div-exp
5×flip3-+ pow-prod-down flip-+ associate-/l/
4×frac-times associate-*r/ add-log-exp unswap-sqr
3×*-commutative
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 103
Calls
4 calls:
11.0ms
(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (sin y)))
14.0ms
(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (sin y))) (* (sqrt 2) y))
5.0ms
(* (sqrt 2) y)
9.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (sin y))

series460.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (sin y)))
197.0ms
(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (sin y))) (* (sqrt 2) y))
39.0ms
(* (sqrt 2) y)
86.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (sin y))

simplify90.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
05221262
128781096
250031096

prune305.0ms

Filtered
115 candidates to 76 candidates (66.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done022
Total1158123

Merged error: 0b

Counts
123 → 8

regimes124.0ms

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
0108
1108

end0.0ms

sample2.5s

Algorithm
intervals
Results
967.0ms2942×body1280valid
526.0ms2532×body640valid
418.0ms8430×body80valid
175.0ms1195×body320valid
65.0ms647×body160valid

Profiling

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