Details

Time bar (total: 5.1s)

sample25.0ms

Algorithm
intervals
Results
11.0ms303×body80valid
1.0ms6×body640valid
1.0ms4×body1280valid
1.0ms7×body320valid
0.0ms2×body160valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- 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 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:
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
7.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
17.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series166.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
19.0ms
(- (/ 2.0 3.0) z)
35.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0435616
12060564
25001564

prune205.0ms

Filtered
97 candidates to 67 candidates (69.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91697
Fresh000
Picked011
Done000
Total91798

Merged error: 0.0b

Counts
98 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
7.0ms
(- (/ 2.0 3.0) z)
9.0ms
(* 6.0 (- (/ 2.0 3.0) z))
14.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
23.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* 6.0 (- (/ 2.0 3.0) z))
50.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0437708
11830652
25001652

prune188.0ms

Filtered
109 candidates to 68 candidates (62.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh055
Picked011
Done011
Total1079116

Merged error: 0.0b

Counts
116 → 9

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))))

rewrite18.0ms

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))))

series2.3s

Counts
4 → 12
Calls
4 calls:
848.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
480.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
477.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
480.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04632031
116191918
250011706

prune318.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh066
Picked011
Done022
Total9810108

Merged error: 0.0b

Counts
108 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 6.0 (* z y)) (* 4.0 x))
0.0b
(- (* 4.0 y) (+ (* 6.0 (* z y)) (* 4.0 x)))
0.0b
(+ x (- (* 4.0 y) (+ (* 6.0 (* z y)) (* 4.0 x))))
0.3b
(* 6.0 (* z y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity
6×sum-log
5×add-sqr-sqrt add-cube-cbrt
4×diff-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative sub-neg associate-+r+ flip3-+ flip-+
1×associate-+r- flip3-- associate-*r* *-commutative flip-- distribute-lft-out associate--r+
Counts
4 → 60
Calls
4 calls:
5.0ms
(+ (* 6.0 (* z y)) (* 4.0 x))
6.0ms
(- (* 4.0 y) (+ (* 6.0 (* z y)) (* 4.0 x)))
8.0ms
(+ x (- (* 4.0 y) (+ (* 6.0 (* z y)) (* 4.0 x))))
5.0ms
(* 6.0 (* z y))

series163.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* 6.0 (* z y)) (* 4.0 x))
47.0ms
(- (* 4.0 y) (+ (* 6.0 (* z y)) (* 4.0 x)))
52.0ms
(+ x (- (* 4.0 y) (+ (* 6.0 (* z y)) (* 4.0 x))))
22.0ms
(* 6.0 (* z y))

simplify153.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0307482
11117450
24633448
35003444

prune114.0ms

Filtered
72 candidates to 46 candidates (63.9%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done033
Total721082

Merged error: 0.0b

Counts
82 → 10

regimes210.0ms

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 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample644.0ms

Algorithm
intervals
Results
341.0ms9439×body80valid
35.0ms271×body640valid
26.0ms159×body1280valid
19.0ms198×body320valid
7.0ms101×body160valid