Details

Time bar (total: 3.2s)

sample464.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid

simplify4.0ms

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: 8.5b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.5b
(/ (+ 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)))

simplify45.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune91.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 6.8b

Counts
54 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.6b
(/ (- 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)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series28.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05882039
126341858
250031694

prune161.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1974201
Fresh257
Picked101
Done011
Total20010210

Merged error: 6.8b

Counts
210 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.8b
(/ 1 (- 1.0 (/ y z)))
7.8b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
1165×times-frac
718×add-sqr-sqrt
693×*-un-lft-identity
413×add-cube-cbrt
122×difference-of-squares
93×associate-/r/
79×distribute-lft-out
61×distribute-lft-out--
51×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 588
Calls
3 calls:
5.0ms
(/ 1 (+ x y))
11.0ms
(/ 1 (- 1.0 (/ y z)))
25.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ x y))
6.0ms
(/ 1 (- 1.0 (/ y z)))
26.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify128.0ms

Algorithm
egg-herbie
Counts
597 → 597
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
021338424
150017515

prune539.0ms

Filtered
229 candidates to 597 candidates (-160.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New5952597
Fresh268
Picked101
Done011
Total5989607

Merged error: 6.8b

Counts
607 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
8.6b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
40×*-un-lft-identity
35×add-sqr-sqrt
30×times-frac
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
18×associate-*r*
16×prod-exp
10×rec-exp 1-exp associate-/r/
9×pow1
7×distribute-lft-out
6×cbrt-undiv associate-*l* associate-/l*
5×associate-/r*
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×pow-flip div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ inv-pow difference-of-squares
1×*-commutative distribute-lft-out--
Counts
3 → 129
Calls
3 calls:
7.0ms
(/ 1 (+ x y))
14.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
16.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ x y))
18.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
10.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0434813
12004666
25001619

prune94.0ms

Filtered
70 candidates to 138 candidates (-97.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh077
Picked011
Done011
Total1389147

Merged error: 6.8b

Counts
147 → 9

regimes351.0ms

Accuracy

70.2% (0.6b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample850.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
237.0ms8000×body80valid

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