Details

Time bar (total: 3.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

8.0b
(/ (+ 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)))

series48.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune109.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 5.6b

Counts
54 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
7.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite31.0ms

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)))
18.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series93.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
47.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0343664
11615588
25001538

prune150.0ms

Filtered
103 candidates to 58 candidates (56.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh077
Picked011
Done011
Total10210112

Merged error: 5.6b

Counts
112 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
7.9b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.9b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.9b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
35×add-cube-cbrt
18×difference-of-squares
15×cbrt-div
9×pow1 add-exp-log frac-times distribute-lft-out--
7×add-cbrt-cube
6×associate-*r/ associate-/r/
5×associate-*l/
4×flip3-+ associate-*l* flip-+ add-log-exp
3×flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 130
Calls
4 calls:
25.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
8.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
8.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
11.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series939.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
243.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
243.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
245.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify110.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
04211503
112041424
242371358
350011238

prune267.0ms

Filtered
142 candidates to 80 candidates (56.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh077
Picked011
Done022
Total14210152

Merged error: 5.6b

Counts
152 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
8.0b
(/ (+ x y) (- 1.0 (/ y z)))
8.0b
(/ (+ x y) (- 1.0 (/ y z)))
8.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
9.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))
47.0ms
(/ (+ x y) (- 1.0 (/ y z)))
51.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify117.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
03761772
110751707
241741703
350021694

prune468.0ms

Filtered
201 candidates to 135 candidates (67.2%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh066
Picked011
Done033
Total20110211

Merged error: 5.6b

Counts
211 → 10

regimes186.0ms

Accuracy

76.7% (0.5b remaining)

Error of 6.1b against oracle of 5.7b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample366.0ms

Algorithm
intervals
Results
200.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid