Details

Time bar (total: 4.1s)

sample966.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.489014%

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: 7.2b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b
(/ (+ 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)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune82.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 5.2b

Counts
54 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite26.0ms

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))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
12.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343662
11615586
25001536

prune105.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh055
Picked011
Done011
Total1028110

Merged error: 5.2b

Counts
110 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-sqr-sqrt
18×cbrt-prod
16×add-exp-log
13×*-un-lft-identity
9×flip3-- flip--
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-cube-cbrt
6×flip3-+ flip-+ difference-of-squares
4×pow1 cbrt-undiv times-frac associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out--
1×frac-2neg clear-num associate-/r* div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
24.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
36.0ms
(cbrt (- 1.0 (/ y z)))
34.0ms
(cbrt (- 1.0 (/ y z)))
37.0ms
(cbrt (- 1.0 (/ y z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04841050
11343925
25001877

prune216.0ms

Filtered
81 candidates to 97 candidates (-19.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh145
Picked101
Done022
Total978105

Merged error: 5.2b

Counts
105 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×cbrt-prod
16×*-un-lft-identity
8×add-cube-cbrt cbrt-div difference-of-squares
4×pow1 add-exp-log flip3-- times-frac pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
Counts
4 → 64
Calls
4 calls:
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (- 1.0 (/ y z)))
35.0ms
(cbrt (- 1.0 (/ y z)))
33.0ms
(cbrt (- 1.0 (/ y z)))
34.0ms
(cbrt (- 1.0 (/ y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
0138528
1307500
2900480
32924452
45001452

prune214.0ms

Filtered
64 candidates to 76 candidates (-18.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done022
Total76884

Merged error: 5.2b

Counts
84 → 8

regimes324.0ms

Accuracy

53.3% (0.8b remaining)

Error of 6.6b against oracle of 5.8b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.489014%

Results
239.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid

Profiling

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