Details

Time bar (total: 1.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×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: 6.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite11.0ms

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)))

series11.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune92.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New44953
Fresh000
Picked011
Done000
Total441054

Merged error: 5.4b

Counts
54 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ 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:
5.0ms
(/ 1 (- 1.0 (/ y z)))
12.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify39.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0343662
11615586
25001536

prune107.0ms

Filtered
57 candidates to 103 candidates (-80.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh268
Picked101
Done011
Total1058113

Merged error: 5.4b

Counts
113 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite33.0ms

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)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series29.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05882039
126341858
250031694

prune138.0ms

Filtered
83 candidates to 201 candidates (-142.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2001201
Fresh156
Picked011
Done011
Total2018209

Merged error: 5.4b

Counts
209 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
0.1b
(/ 1 (sqrt (- 1.0 (/ y z))))
2.6b
(sqrt (- 1.0 (/ y z)))
2.6b
(sqrt (- 1.0 (/ y z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
86×*-un-lft-identity
74×times-frac
66×sqrt-prod
44×add-cube-cbrt
22×difference-of-squares
18×associate-/r*
11×distribute-lft-out--
10×add-exp-log distribute-lft-out
8×pow1 sqrt-div add-cbrt-cube
7×associate-/l*
4×flip3-- associate-/r/ flip-- add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv associate-/l/
1×rec-exp flip3-+ 1-exp flip-+ inv-pow
Counts
4 → 160
Calls
4 calls:
11.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
11.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
6.0ms
(sqrt (- 1.0 (/ y z)))
6.0ms
(sqrt (- 1.0 (/ y z)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
15.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
12.0ms
(sqrt (- 1.0 (/ y z)))
13.0ms
(sqrt (- 1.0 (/ y z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
03771409
112221298
232761253
350021253

prune198.0ms

Filtered
100 candidates to 172 candidates (-72.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh055
Picked011
Done022
Total1728180

Merged error: 5.4b

Counts
180 → 8

regimes271.0ms

Accuracy

78.8% (0.4b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample515.0ms

Algorithm
intervals
Results
240.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

Profiling

Loading profile data...