Details

Time bar (total: 2.0s)

sample160.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 55.47852%

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: 7.6b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ 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:
13.0ms
(/ (+ 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 (9 fresh and 0 done)

PrunedKeptTotal
New44953
Fresh000
Picked101
Done000
Total45954

Merged error: 5.4b

Counts
54 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 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))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 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 (34.0ms)

IterNodesCost
0343662
11615586
25001536

prune111.0ms

Filtered
58 candidates to 103 candidates (-77.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh088
Picked011
Done000
Total1039112

Merged error: 5.4b

Counts
112 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.6b
(/ (- 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:
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05882039
126341858
250031694

prune145.0ms

Filtered
81 candidates to 201 candidates (-148.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1983201
Fresh347
Picked101
Done011
Total2028210

Merged error: 5.4b

Counts
210 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
7.6b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite38.0ms

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:
5.0ms
(/ 1 (+ x y))
14.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
15.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (+ x y))
22.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
11.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0434813
12004666
25001619

prune89.0ms

Filtered
68 candidates to 138 candidates (-102.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh066
Picked011
Done011
Total1388146

Merged error: 5.4b

Counts
146 → 8

regimes273.0ms

Accuracy

68.1% (0.7b remaining)

Error of 6.0b against oracle of 5.4b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03630
13630

end0.0ms

sample625.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 55.47852%

Results
238.0ms8000×body80valid

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