Details

Time bar (total: 5.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms299×body80valid
1.0ms9×body640valid
1.0ms7×body1280valid
0.0ms5×body320valid
0.0ms4×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

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))

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

series155.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
62.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
45.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0435616
12060564
25001564

prune199.0ms

Filtered
97 candidates to 67 candidates (69.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New90797
Fresh000
Picked101
Done000
Total91798

Merged error: 0.0b

Counts
98 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:
8.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* 6.0 (- (/ 2.0 3.0) z))
9.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
14.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
38.0ms
(* 6.0 (- (/ 2.0 3.0) z))
67.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
45.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437708
11830652
25001652

prune207.0ms

Filtered
109 candidates to 70 candidates (64.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh156
Picked011
Done000
Total1088116

Merged error: 0.0b

Counts
116 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (/ 2.0 3.0) z))
0.3b
(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
0.4b
(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
0.8b
(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
212×cbrt-div
168×frac-times
142×flip3-- flip--
132×associate-*l/
60×associate-*r/
53×add-sqr-sqrt
44×cbrt-prod
41×pow1
36×add-exp-log
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
19×associate-*r*
15×add-cube-cbrt
12×difference-of-squares
11×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×times-frac
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 236
Calls
4 calls:
6.0ms
(cbrt (- (/ 2.0 3.0) z))
23.0ms
(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
37.0ms
(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
17.0ms
(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (- (/ 2.0 3.0) z))
126.0ms
(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
44.0ms
(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
105.0ms
(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

simplify141.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
011594907
145914525
250014399

prune600.0ms

Filtered
248 candidates to 139 candidates (56.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2480248
Fresh066
Picked011
Done011
Total2488256

Merged error: 0.0b

Counts
256 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))

series2.4s

Counts
4 → 12
Calls
4 calls:
777.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
463.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
669.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
453.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04632031
116191918
250011706

prune297.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh055
Picked011
Done022
Total9710107

Merged error: 0.0b

Counts
107 → 10

regimes217.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample554.0ms

Algorithm
intervals
Results
271.0ms9368×body80valid
30.0ms270×body640valid
19.0ms152×body1280valid
16.0ms203×body320valid
6.0ms109×body160valid