Details

Time bar (total: 3.4s)

sample551.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 84.698486%

Results
11.0ms256×body80valid
0.0ms3×body80invalid

simplify140.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949386
1050026

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
16×*-un-lft-identity
11×add-sqr-sqrt
7×add-cube-cbrt
6×pow1 log-prod
5×add-exp-log diff-log add-cbrt-cube
4×associate-*r* associate-*l* sum-log
3×distribute-rgt-in distribute-lft-in distribute-lft-out
2×associate-+l- sub-neg associate-+l+ flip3-+ associate-*l/ flip-+ distribute-lft-out--
1×+-commutative associate--l- flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series46.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms
(* (+ y 0.5) (log y))

simplify41.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0399541
11444477
25002456

prune108.0ms

Filtered
50 candidates to 72 candidates (-44.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New65772
Fresh000
Picked101
Done000
Total66773

Merged error: 0.0b

Counts
73 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(+ (- x (* (+ y 0.5) (log y))) (- y z))
0.1b
(* (+ y 0.5) (log y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
13×*-un-lft-identity
8×add-sqr-sqrt
6×add-cube-cbrt log-prod
5×pow1
4×add-exp-log flip3-- diff-log associate-*r* associate-*l* frac-add sum-log add-cbrt-cube flip--
3×distribute-rgt-in distribute-lft-in distribute-lft-out
2×sub-neg associate-+l+ associate-+r+ flip3-+ associate-*l/ flip-+
1×+-commutative associate-+l- associate-+r- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
2 → 54
Calls
2 calls:
8.0ms
(+ (- x (* (+ y 0.5) (log y))) (- y z))
6.0ms
(* (+ y 0.5) (log y))

series35.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (- x (* (+ y 0.5) (log y))) (- y z))
20.0ms
(* (+ y 0.5) (log y))

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0479535
11886491
25001483

prune82.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh066
Picked011
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series220.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
107.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
22.0ms
(cbrt y)
25.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06921152
124321025
25003966

prune169.0ms

Filtered
87 candidates to 120 candidates (-37.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh235
Picked101
Done011
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
23.0ms
(cbrt y)
30.0ms
(cbrt (cbrt y))
35.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify205.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune86.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh145
Picked101
Done011
Total58664

Merged error: 0.0b

Counts
64 → 6

regimes250.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 84.698486%

Results
362.0ms7998×body80valid
2.0ms41×body80invalid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

Loading profile data...