Details

Time bar (total: 3.9s)

sample889.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 77.550551%

Results
11.0ms256×body80valid
1.0ms14×body80nan

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in associate--r+
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×sub-neg associate-+l+ flip3-+ diff-log associate-*l/ sum-log flip-+ distribute-lft-out
1×+-commutative associate-+l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms
(* (+ y 0.5) (log y))

series43.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- x (* (+ y 0.5) (log y)))
13.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms
(* (+ y 0.5) (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0388492
11420429
25002404

prune105.0ms

Filtered
51 candidates to 71 candidates (-39.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New64771
Fresh000
Picked101
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
5×pow1
4×add-exp-log add-cube-cbrt associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--r+
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 38
Calls
2 calls:
6.0ms
(* (log y) (+ y 0.5))
3.0ms
(- y (* (log y) (+ y 0.5)))

series58.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (log y) (+ y 0.5))
35.0ms
(- y (* (log y) (+ y 0.5)))

simplify34.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0260267
11027232
25001213

prune68.0ms

Filtered
30 candidates to 44 candidates (-46.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh156
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.2b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite27.0ms

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:
8.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series213.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
104.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06921152
124321025
25003966

prune167.0ms

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: 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 y)
0.6b
(cbrt (cbrt y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))

series96.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt y)
21.0ms
(cbrt y)
29.0ms
(cbrt (cbrt y))

simplify80.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
099239
1175221
2404181
31393175
45002175

prune91.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done011
Total59766

Merged error: 0b

Counts
66 → 7

regimes186.0ms

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

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 77.550551%

Results
367.0ms7998×body80valid
18.0ms489×body80nan
2.0ms38×body80invalid
0.0ms2×body640valid

Profiling

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