Details

Time bar (total: 3.5s)

analyze411.0ms

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
35.9%55.4%8.7%10
42.9%47.6%9.5%11
51.5%38.2%10.3%12
55%30%15%13
59.5%25.3%15.3%14

sample20.0ms

Algorithm
intervals
Results
8.0ms232×body80valid
1.0ms8×body640valid
1.0ms16×body80invalid
1.0ms8×body160valid
1.0ms5×body320valid
1.0ms3×body1280valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02313
12313

prune9.0ms

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: 0.1b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
9×distribute-rgt-in distribute-lft-in
8×flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times associate-+r+ pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 86
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms
(* 6.0 (- (/ 2.0 3.0) z))
13.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
13.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
3.0ms
(* 6.0 (- (/ 2.0 3.0) z))
9.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
052351204

prune148.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh011
Picked101
Done000
Total919100

Merged error: 0.0b

Counts
100 → 9

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
0.0b
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
0.3b
(* (- y x) (* 6.0 (neg z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l/
10×flip3-- frac-add flip-- add-log-exp
8×pow1 add-exp-log *-un-lft-identity associate-*r/ add-cbrt-cube
6×add-sqr-sqrt distribute-rgt-neg-out
5×associate-*l*
4×frac-times add-cube-cbrt sum-log
3×pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ unsub-neg flip-+ distribute-lft-out
1×associate-+r- associate-+r+ associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 61
Calls
3 calls:
11.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
10.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
8.0ms
(* (- y x) (* 6.0 (neg z)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
13.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
8.0ms
(* (- y x) (* 6.0 (neg z)))

simplify28.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
060611274

prune106.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh088
Picked011
Done000
Total70979

Merged error: 0.0b

Counts
79 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×distribute-rgt-in associate-+r+ distribute-lft-in times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
4.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
15.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series35.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (/ 2.0 3.0) z)
7.0ms
(* (- y x) 6.0)
15.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify70.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049901089
149901089

prune136.0ms

Filtered
61 candidates to 92 candidates (-50.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh077
Picked011
Done011
Total9110101

Merged error: 0.0b

Counts
101 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
0.5b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
2.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
92.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
92.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
93.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049522632
149522632

prune267.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh077
Picked011
Done022
Total9910109

Merged error: 0.0b

Counts
109 → 10

regimes406.0ms

Accuracy

0% (0.2b 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 (1.0ms)

IterNodesCost
03320
13320

end0.0ms

analyze404.0ms

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
35.9%55.4%8.7%10
42.9%47.6%9.5%11
51.5%38.2%10.3%12
55%30%15%13
59.5%25.3%15.3%14

sample580.0ms

Algorithm
intervals
Results
274.0ms7272×body80valid
38.0ms277×body640valid
28.0ms151×body1280valid
21.0ms573×body80invalid
19.0ms186×body320valid
11.0ms114×body160valid

Profiling

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