Details

Time bar (total: 3.4s)

sample28.0ms

Algorithm
intervals
Results
10.0ms288×body80valid
1.0ms11×body640valid
1.0ms8×body1280valid
1.0ms5×body320valid
0.0ms5×body160valid

simplify333.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (331.0ms)

IterNodesCost
0309113
1309113

prune10.0ms

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

localize9.0ms

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)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times 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 → 97
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms
(* 6.0 (- (/ 2.0 3.0) z))
17.0ms
(* (- 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)))

simplify27.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
052791346

prune149.0ms

Filtered
70 candidates to 109 candidates (-55.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1018109
Fresh011
Picked101
Done000
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize12.0ms

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)))

rewrite20.0ms

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/ distribute-rgt-neg-out
5×associate-*l*
4×add-cube-cbrt flip3-+ frac-add sum-log 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 → 53
Calls
3 calls:
7.0ms
(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
3.0ms
(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
8.0ms
(* (- y x) (* 6.0 (neg z)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
5.0ms
(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
10.0ms
(* (- y x) (* 6.0 (neg z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050071024

prune100.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh088
Picked011
Done000
Total611071

Merged error: 0.0b

Counts
71 → 10

localize9.0ms

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

rewrite33.0ms

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×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
4.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms
(* (- y x) 6.0)
13.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series29.0ms

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

simplify33.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
054021143

prune124.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh088
Picked011
Done011
Total9710107

Merged error: 0.0b

Counts
107 → 10

localize14.0ms

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)))))

series671.0ms

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
88.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
90.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
89.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051112865

prune289.0ms

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

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh077
Picked011
Done022
Total9712109

Merged error: 0.0b

Counts
109 → 12

regimes471.0ms

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

sample789.0ms

Algorithm
intervals
Results
335.0ms9398×body80valid
35.0ms262×body640valid
28.0ms167×body1280valid
20.0ms195×body320valid
9.0ms132×body160valid

Profiling

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