Details

Time bar (total: 2.5s)

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.3b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (+ 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:
9.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ (+ 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

prune147.0ms

Filtered
53 candidates to 35 candidates (34.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 6.3b

Counts
54 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
8.0b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite29.0ms

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))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0343662
11615586
25001536

prune229.0ms

Filtered
103 candidates to 57 candidates (44.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh077
Picked011
Done011
Total10210112

Merged error: 6.3b

Counts
112 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.3b
(/ (- 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:
13.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
12.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series29.0ms

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

prune392.0ms

Filtered
201 candidates to 85 candidates (57.7%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1983201
Fresh167
Picked011
Done022
Total19912211

Merged error: 6.3b

Counts
211 → 12

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
8.4b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite64.0ms

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))
25.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
28.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ x y))
20.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
10.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0434813
12004666
25001619

prune284.0ms

Filtered
138 candidates to 67 candidates (51.4%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1380138
Fresh088
Picked011
Done033
Total13812150

Merged error: 6.3b

Counts
150 → 12

regimes425.0ms

Accuracy

49.6% (1.0b remaining)

Error of 6.8b against oracle of 5.8b and baseline of 7.8b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample487.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid

Profiling

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