Details

Time bar (total: 4.8s)

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.625977%

Guaranteed chance to sample good point: 78.330893%

Results
9.0ms226×body80valid
2.0ms11×body640valid
1.0ms7×body1280valid
1.0ms9×body320valid
0.0ms11×body80invalid
0.0ms3×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

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
(* (- y x) 6.0)
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×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))

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)))
4.0ms
(* (- y x) 6.0)
9.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435616
12060564
25001564

prune139.0ms

Filtered
67 candidates to 97 candidates (-44.8%)
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
(+ x (* (- y x) (* 6.0 (- (/ 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:
7.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms
(* 6.0 (- (/ 2.0 3.0) z))
13.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series26.0ms

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)))

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0437708
11830652
25001652

prune129.0ms

Filtered
68 candidates to 109 candidates (-60.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1081109
Fresh156
Picked101
Done000
Total1106116

Merged error: 0.0b

Counts
116 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (neg z) 6.0))))
0.2b
(* (- y x) (* (neg z) 6.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube add-log-exp
5×add-sqr-sqrt associate-*l*
3×distribute-lft-neg-out add-cube-cbrt pow-prod-down prod-exp sum-log distribute-rgt-neg-out cbrt-unprod
2×associate-+r- associate-*l/
1×+-commutative associate-+r+ flip3-- flip3-+ associate-*r* unsub-neg *-commutative flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
10.0ms
(+ x (+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (neg z) 6.0))))
8.0ms
(* (- y x) (* (neg z) 6.0))

series21.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (neg z) 6.0))))
8.0ms
(* (- y x) (* (neg z) 6.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0271375
11088324
25002322

prune198.0ms

Filtered
31 candidates to 45 candidates (-45.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New45045
Fresh055
Picked011
Done000
Total45651

Merged error: 0.0b

Counts
51 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (+ (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
2.4b
(* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
9.6b
(/ (* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (+ (/ 2.0 3.0) z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×associate-*l/
17×*-un-lft-identity
13×add-sqr-sqrt flip3-- flip--
11×pow1
9×add-cube-cbrt
8×frac-times associate-/l/
7×associate-*r* prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×times-frac associate-*r/ pow-prod-down associate-/r*
3×cbrt-undiv div-exp distribute-lft-out
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r/ *-commutative flip-+ difference-of-squares
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 100
Calls
4 calls:
9.0ms
(+ x (/ (* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (+ (/ 2.0 3.0) z)))
6.0ms
(* (- y x) 6.0)
13.0ms
(* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
19.0ms
(/ (* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (+ (/ 2.0 3.0) z))

series95.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ x (/ (* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (+ (/ 2.0 3.0) z)))
4.0ms
(* (- y x) 6.0)
21.0ms
(* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z)))
27.0ms
(/ (* (* (- y x) 6.0) (- (* (/ 2.0 3.0) (/ 2.0 3.0)) (* z z))) (+ (/ 2.0 3.0) z))

simplify100.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06321271
136461092
250011092

prune162.0ms

Filtered
77 candidates to 112 candidates (-45.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh044
Picked011
Done011
Total1126118

Merged error: 0.0b

Counts
118 → 6

regimes331.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
13110
23510
33510

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.625977%

Guaranteed chance to sample good point: 78.330893%

Results
286.0ms7270×body80valid
36.0ms248×body640valid
31.0ms180×body1280valid
20.0ms196×body320valid
16.0ms417×body80invalid
7.0ms106×body160valid

Profiling

Loading profile data...