Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite23.0ms

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:
21.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune100.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- 1.0 (/ y z)))
5.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite56.0ms

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:
13.0ms
(/ 1 (- 1.0 (/ y z)))
39.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series91.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
50.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0343664
11615588
25001538

prune163.0ms

Filtered
103 candidates to 58 candidates (56.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.6b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite55.0ms

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:
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series170.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05882041
126341860
250031696

prune246.0ms

Filtered
201 candidates to 88 candidates (43.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.1b
(/ 1 (- 1.0 (/ y z)))
5.6b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite103.0ms

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:
8.0ms
(/ 1 (+ x y))
12.0ms
(/ 1 (- 1.0 (/ y z)))
36.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (+ x y))
42.0ms
(/ 1 (- 1.0 (/ y z)))
123.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify120.0ms

Algorithm
egg-herbie
Counts
597 → 597
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
021338430
150017521

prune737.0ms

Filtered
597 candidates to 230 candidates (38.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.5b

regimes107.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample345.0ms

Algorithm
intervals
Results
190.0ms7999×body80valid
0.0ms1×body640valid