Details

Time bar (total: 4.5s)

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.489014%

Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

9.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite15.0ms

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)))

simplify48.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune86.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 7.8b

Counts
54 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.1b
(/ (- 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)))
13.0ms
(/ (- 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))

simplify70.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05882039
126341858
250031694

prune149.0ms

Filtered
86 candidates to 201 candidates (-133.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1974201
Fresh336
Picked011
Done011
Total2009209

Merged error: 7.8b

Counts
209 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (- 1.0 (/ y z)))
9.2b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite94.0ms

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))
8.0ms
(/ 1 (- 1.0 (/ y z)))
28.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ x y))
6.0ms
(/ 1 (- 1.0 (/ y z)))
18.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify123.0ms

Algorithm
egg-herbie
Counts
597 → 597
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
021338424
150017515

prune511.0ms

Filtered
228 candidates to 597 candidates (-161.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5961597
Fresh156
Picked011
Done022
Total5979606

Merged error: 7.8b

Counts
606 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
6.5b
(/ (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))) (/ 1 (+ x y)))
9.1b
(sqrt (/ 1 (- 1.0 (/ y z))))
9.1b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
109×add-sqr-sqrt
85×*-un-lft-identity
51×add-cube-cbrt
48×sqrt-prod
30×add-exp-log
24×associate-/r*
20×difference-of-squares
18×add-cbrt-cube
14×div-exp
11×associate-/r/
10×distribute-lft-out--
9×pow1
7×cbrt-undiv
6×rem-sqrt-square sqrt-pow1 sqrt-div div-inv distribute-lft-out
4×prod-exp associate-/l* add-log-exp
3×rec-exp flip3-- pow-flip 1-exp flip-- associate-/l/ inv-pow
2×frac-2neg flip3-+ pow1/2 clear-num cbrt-unprod flip-+
1×frac-times associate-*r/ associate-*l/
Counts
4 → 186
Calls
4 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
32.0ms
(/ (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))) (/ 1 (+ x y)))
9.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
9.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 (/ y z)))
22.0ms
(/ (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))) (/ 1 (+ x y)))
16.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
16.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05351705
122121433
250011289

prune198.0ms

Filtered
103 candidates to 198 candidates (-92.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1980198
Fresh055
Picked011
Done033
Total1989207

Merged error: 7.8b

Counts
207 → 9

regimes275.0ms

Accuracy

0% (1.8b remaining)

Error of 7.4b against oracle of 5.7b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.489014%

Results
248.0ms7999×body80valid
0.0ms1×body640valid

Profiling

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