Details

Time bar (total: 7.9s)

sample2.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 91.104126%

Results
7.0ms255×body80valid
0.0ms1×body1280valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune93.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New44953
Fresh000
Picked011
Done000
Total441054

Merged error: 5.9b

Counts
54 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343662
11615586
25001536

prune117.0ms

Filtered
56 candidates to 103 candidates (-83.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh088
Picked011
Done011
Total10211113

Merged error: 5.9b

Counts
113 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.6b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
12.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series29.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify71.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05882039
126341858
250031694

prune171.0ms

Filtered
85 candidates to 201 candidates (-136.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1974201
Fresh268
Picked101
Done022
Total20012212

Merged error: 5.9b

Counts
212 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y z) (/ y z))
3.7b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
12.8b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×frac-times flip3-+ associate-*r/ flip-+ add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 155
Calls
3 calls:
10.0ms
(* (/ y z) (/ y z))
7.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
17.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (/ y z) (/ y z))
22.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
28.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08271474
145041332
250031328

prune167.0ms

Filtered
112 candidates to 164 candidates (-46.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1631164
Fresh189
Picked101
Done022
Total16511176

Merged error: 5.9b

Counts
176 → 11

regimes319.0ms

Accuracy

75% (0.5b remaining)

Error of 6.2b against oracle of 5.8b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample3.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 91.104126%

Results
243.0ms7997×body80valid
0.0ms3×body1280valid

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