Details

Time bar (total: 3.6s)

sample664.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 88.171387%

Results
7.0ms256×body80valid

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: 7.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.1b
(/ (+ 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)))

simplify55.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune96.0ms

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:

0.3b
(/ 1 (- 1.0 (/ y z)))
6.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite28.0ms

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)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
10.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0343662
11615586
25001536

prune119.0ms

Filtered
57 candidates to 103 candidates (-80.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh088
Picked011
Done011
Total10211113

Merged error: 5.9b

Counts
113 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
7.3b
(cbrt (- 1.0 (/ y z)))
7.3b
(cbrt (- 1.0 (/ y z)))
7.3b
(cbrt (- 1.0 (/ y z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×*-un-lft-identity
58×times-frac
49×add-exp-log
45×cbrt-prod
42×associate-*r*
27×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
14×difference-of-squares
10×flip3-- associate-/r/ flip--
9×distribute-lft-out unswap-sqr
8×cbrt-unprod
7×cbrt-undiv distribute-lft-out--
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 146
Calls
4 calls:
41.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
5.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))

series122.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
36.0ms
(cbrt (- 1.0 (/ y z)))
34.0ms
(cbrt (- 1.0 (/ y z)))
35.0ms
(cbrt (- 1.0 (/ y z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06572053
131971809
250011648

prune283.0ms

Filtered
105 candidates to 158 candidates (-50.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh088
Picked011
Done022
Total15811169

Merged error: 5.9b

Counts
169 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
7.1b
(/ (+ x y) (- 1.0 (/ y z)))
7.1b
(/ (+ x y) (- 1.0 (/ y z)))
7.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
8.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
03761772
110751707
241741703
350021694

prune318.0ms

Filtered
135 candidates to 201 candidates (-48.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh077
Picked011
Done033
Total20111212

Merged error: 5.9b

Counts
212 → 11

regimes300.0ms

Accuracy

0% (1.9b remaining)

Error of 7.5b against oracle of 5.6b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 88.171387%

Results
244.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body160valid

Profiling

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