Details

Time bar (total: 2.9s)

analyze225.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
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: 8.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.1b
(/ (+ 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)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune84.0ms

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: 6.1b

Counts
54 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite36.0ms

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:
16.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05882039
126341858
250031694

prune149.0ms

Filtered
84 candidates to 201 candidates (-139.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1974201
Fresh347
Picked011
Done011
Total20010210

Merged error: 6.1b

Counts
210 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.4b
(/ 1 (- 1.0 (/ y z)))
7.9b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite92.0ms

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)))
27.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ x y))
5.0ms
(/ 1 (- 1.0 (/ y z)))
18.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify126.0ms

Algorithm
egg-herbie
Counts
597 → 597
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
021338424
150017515

prune510.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New5970597
Fresh077
Picked011
Done022
Total59710607

Merged error: 6.1b

Counts
607 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.4b
(cbrt (- 1.0 (/ y z)))
8.4b
(cbrt (- 1.0 (/ y z)))
8.4b
(cbrt (- 1.0 (/ y z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 frac-times associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
18.0ms
(/ (+ 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)))
5.0ms
(cbrt (- 1.0 (/ y z)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
37.0ms
(cbrt (- 1.0 (/ y z)))
34.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0339838
1853764
22566749
35001740

prune170.0ms

Filtered
75 candidates to 93 candidates (-24.0%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh066
Picked011
Done033
Total9310103

Merged error: 6.1b

Counts
103 → 10

regimes346.0ms

Accuracy

73.8% (0.5b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

analyze223.0ms

Algorithm
search

sample384.0ms

Algorithm
intervals
Results
232.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid

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