Details

Time bar (total: 3.5s)

analyze458.0ms

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
8.0ms237×body80valid
1.0ms9×body320valid
1.0ms6×body640valid
1.0ms16×body80invalid
0.0ms2×body1280valid
0.0ms2×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize8.0ms

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)))

rewrite38.0ms

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:
9.0ms
(- (/ 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)
12.0ms
(+ 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)))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (43.0ms)

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* (- 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))))
0.2b
(* (- y x) (* 6.0 (neg z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity associate-*l/
5×associate-*l*
4×add-cube-cbrt flip3-+ frac-add sum-log distribute-rgt-neg-out flip-+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×+-commutative
1×associate-+l+ associate-*r* unsub-neg *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 52
Calls
3 calls:
11.0ms
(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
6.0ms
(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
11.0ms
(* (- y x) (* 6.0 (neg z)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
8.0ms
(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
13.0ms
(* (- y x) (* 6.0 (neg z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049191042
149191042

prune101.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh088
Picked011
Done000
Total61970

Merged error: 0.0b

Counts
70 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:
6.0ms
(* (- y x) 6.0)
7.0ms
(- (/ 2.0 3.0) z)
4.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
13.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- y x) 6.0)
2.0ms
(- (/ 2.0 3.0) z)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049901089
149901089

prune117.0ms

Filtered
64 candidates to 92 candidates (-43.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done011
Total929101

Merged error: 0.0b

Counts
101 → 9

localize13.0ms

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))))))
0.6b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b
(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)))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (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)))))
91.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
92.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049522632
149522632

prune267.0ms

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

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh066
Picked011
Done022
Total9711108

Merged error: 0.0b

Counts
108 → 11

regimes460.0ms

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
03320
13320

end0.0ms

analyze424.0ms

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

sample553.0ms

Algorithm
intervals
Results
274.0ms7307×body80valid
34.0ms245×body640valid
23.0ms652×body80invalid
22.0ms127×body1280valid
21.0ms210×body320valid
10.0ms111×body160valid

Profiling

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