Details

Time bar (total: 10.7s)

analyze818.0ms

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

sample222.0ms

Algorithm
intervals
Results
123.0ms86×body1280valid
39.0ms44×body640valid
21.0ms32×body320valid
16.0ms79×body80valid
6.0ms15×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0495550
1495550

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize38.0ms

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)))))
0.4b
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*r/
29×flip3-- flip--
28×frac-times
13×pow1 add-exp-log add-cbrt-cube
12×distribute-rgt-in add-sqr-sqrt distribute-lft-in
10×sub-neg *-un-lft-identity add-log-exp
associate-*l/
add-cube-cbrt associate-*l* pow-prod-down prod-exp cbrt-unprod
sqrt-prod
difference-of-squares
diff-log distribute-lft-out--
+-commutative flip3-+ associate-*r* frac-add sum-log *-commutative flip-+ diff-cos
Counts
4 → 98
Calls
4 calls:
26.0ms
(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
10.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series73.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
29.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0)))
0.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

simplify48.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049972617
149972617

prune384.0ms

Filtered
82 candidates to 108 candidates (-31.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9612108
Fresh011
Picked101
Done000
Total9713110

Merged error: 0.2b

Counts
110 → 13

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 2.0 (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))) (* 3.0 (+ 1.0 (+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0))))))
0.3b
(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
0.4b
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
1.6b
(- (cos x) (cos y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/
28×frac-times flip3-- flip--
18×add-exp-log add-cbrt-cube
13×pow1
12×distribute-rgt-in add-sqr-sqrt distribute-lft-in
10×*-un-lft-identity
sub-neg
add-cube-cbrt associate-*l/ add-log-exp
prod-exp cbrt-unprod
associate-*l* pow-prod-down
times-frac associate-/l*
flip3-+ sqrt-prod flip-+
cbrt-undiv div-exp associate-/r/ associate-/l/ distribute-lft-out
+-commutative frac-2neg diff-log associate-*r* frac-add clear-num associate-/r* sum-log *-commutative div-inv diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
21.0ms
(/ (+ 2.0 (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))) (* 3.0 (+ 1.0 (+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0))))))
26.0ms
(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
10.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
4.0ms
(- (cos x) (cos y))

series320.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(/ (+ 2.0 (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))) (* 3.0 (+ 1.0 (+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0))))))
35.0ms
(* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))))
23.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
9.0ms
(- (cos x) (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055304506

prune546.0ms

Filtered
94 candidates to 123 candidates (-30.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11310123
Fresh10212
Picked101
Done000
Total12412136

Merged error: 0.0b

Counts
136 → 12

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
0.3b
(* (sqrt 2.0) (* (- (cos x) (cos y)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))
0.4b
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
1.6b
(- (cos x) (cos y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/
34×flip3-- flip--
32×frac-times
22×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
14×*-un-lft-identity
13×distribute-rgt-in distribute-lft-in
12×associate-*l*
11×sub-neg
10×associate-*l/
add-cube-cbrt add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
difference-of-squares
sqrt-prod distribute-lft-out--
times-frac *-commutative
+-commutative flip3-+ diff-log frac-add sum-log flip-+ diff-cos unswap-sqr
Counts
4 → 118
Calls
4 calls:
16.0ms
(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
28.0ms
(* (sqrt 2.0) (* (- (cos x) (cos y)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))
12.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
4.0ms
(- (cos x) (cos y))

series92.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))
36.0ms
(* (sqrt 2.0) (* (- (cos x) (cos y)) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0)))))
29.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
9.0ms
(- (cos x) (cos y))

simplify56.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050393338

prune438.0ms

Filtered
98 candidates to 130 candidates (-32.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1291130
Fresh11011
Picked101
Done000
Total13111142

Merged error: 0.0b

Counts
142 → 11

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt 2.0) (* (- (cos x) (cos y)) (log (pow (exp (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
0.4b
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
1.6b
(- (cos x) (cos y))
3.1b
(log (pow (exp (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
45×log-prod
36×distribute-rgt-in distribute-lft-in
20×unpow-prod-down
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
11×sub-neg
10×add-exp-log
pow1 add-cbrt-cube
add-log-exp
associate-*l*
unpow-prod-up exp-sum sqr-pow
associate-*r/
rem-log-exp pow-prod-down prod-exp sqrt-prod cbrt-unprod
flip3-- associate-*l/ flip--
+-commutative pow-to-exp log-div flip3-+ diff-log associate-*r* frac-add pow-exp sum-log log-pow *-commutative flip-+ diff-cos distribute-lft-out-- pow-sub difference-of-squares
Counts
4 → 106
Calls
4 calls:
19.0ms
(* (sqrt 2.0) (* (- (cos x) (cos y)) (log (pow (exp (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
10.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
4.0ms
(- (cos x) (cos y))
11.0ms
(log (pow (exp (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (sqrt 2.0) (* (- (cos x) (cos y)) (log (pow (exp (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
25.0ms
(+ (* (cos x) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0)))
9.0ms
(- (cos x) (cos y))
35.0ms
(log (pow (exp (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052793479

prune299.0ms

Filtered
73 candidates to 118 candidates (-61.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh01010
Picked011
Done000
Total11811129

Merged error: 0.0b

Counts
129 → 11

regimes221.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010158
110158

end0.0ms

sample6.5s

Algorithm
intervals
Results
3.7s2737×body1280valid
1.6s1811×body640valid
490.0ms797×body320valid
458.0ms2327×body80valid
135.0ms328×body160valid

Profiling

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