Details

Time bar (total: 10.4s)

analyze744.0ms (7.2%)

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
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
74.9%25%0.1%9
74.9%25%0.1%10
74.9%25%0.1%11
74.9%25%0.1%12
74.9%25%0.1%13
74.9%25%0.1%14

sample208.0ms (2%)

Algorithm
intervals
Results
108.0ms83×body1280valid
57.0ms65×body640valid
13.0ms71×body80valid
12.0ms21×body320valid
6.0ms16×body160valid

simplify22.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0495550
1495550

prune10.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.5b

Counts
2 → 1

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))

rewrite40.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
flip3-- flip--
add-cube-cbrt add-log-exp
associate-*l* difference-of-squares
sub-neg
sqrt-prod
frac-times pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
distribute-rgt-in distribute-lft-in times-frac diff-log associate-*l/ *-commutative unswap-sqr
diff-cos
Counts
4 → 88
Calls

4 calls:

17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
13.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
4.0ms
(- 3.0 (sqrt 5.0))

series46.0ms (0.4%)

Counts
4 → 10
Calls

4 calls:

22.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
13.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms
(- (cos x) (cos y))
0.0ms
(- 3.0 (sqrt 5.0))

simplify41.0ms (0.4%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050701524

prune388.0ms (3.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 0.3b

Counts
99 → 8

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.5b
(- (cos x) (cos y))

rewrite79.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-exp-log add-cbrt-cube
18×associate-*r*
17×*-un-lft-identity
16×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt
associate-*l*
sub-neg
add-log-exp difference-of-squares
sqrt-prod distribute-lft-out--
distribute-rgt-in distribute-lft-in *-commutative
times-frac diff-cos unswap-sqr
diff-log
Counts
4 → 126
Calls

4 calls:

33.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
23.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series80.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
22.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051993491

prune665.0ms (6.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1353138
Fresh167
Picked101
Done000
Total1379146

Merged error: 0.3b

Counts
146 → 9

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))
3.8b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite23.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
14×*-un-lft-identity
add-log-exp
add-cube-cbrt
pow1
add-exp-log sub-neg associate-*r* associate-*l* add-cbrt-cube
log-prod sqrt-prod difference-of-squares
flip3-- log-pow flip-- distribute-lft-out--
distribute-rgt-in distribute-lft-in diff-log associate-*r/ exp-sum unswap-sqr
exp-prod exp-to-pow times-frac rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 73
Calls

4 calls:

10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
4.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series34.0ms (0.3%)

Counts
4 → 10
Calls

4 calls:

13.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))
0.0ms
(- 3.0 (sqrt 5.0))

simplify71.0ms (0.7%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04925886
14925886

prune394.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81283
Fresh268
Picked101
Done000
Total84892

Merged error: 0.3b

Counts
92 → 8

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))
4.2b
(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
4.2b
(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

rewrite17.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
16×log-prod
14×add-sqr-sqrt
12×*-un-lft-identity
11×sqrt-prod
10×log-pow add-log-exp
pow1 add-cube-cbrt
add-exp-log sub-neg sqrt-pow1
exp-sum add-cbrt-cube
difference-of-squares
distribute-rgt-in exp-prod flip3-- exp-to-pow distribute-lft-in pow1/2 diff-log rem-log-exp flip-- distribute-lft-out--
diff-cos
Counts
4 → 70
Calls

4 calls:

4.0ms
(- (cos x) (cos y))
4.0ms
(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

series65.0ms (0.6%)

Counts
4 → 10
Calls

4 calls:

29.0ms
(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
27.0ms
(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
9.0ms
(- (cos x) (cos y))
0.0ms
(- 3.0 (sqrt 5.0))

simplify65.0ms (0.6%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049931024
149931024

prune442.0ms (4.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New78280
Fresh077
Picked101
Done000
Total79988

Merged error: 0.2b

Counts
88 → 9

regimes191.0ms (1.8%)

Accuracy

Total 0.2b remaining (47.9%)

Threshold costs 0.2b (47.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010582
110582

end0.0ms (0%)

sample6.6s (63.2%)

Algorithm
intervals
Results
3.7s2762×body1280valid
1.6s1834×body640valid
474.0ms773×body320valid
432.0ms2240×body80valid
165.0ms391×body160valid

Profiling

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