Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 7.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ 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)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ 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

prune108.0ms

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: 6.4b

Counts
54 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
6.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite28.0ms

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)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series92.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343664
11615588
25001538

prune142.0ms

Filtered
103 candidates to 58 candidates (56.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh167
Picked011
Done011
Total1039112

Merged error: 6.4b

Counts
112 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite35.0ms

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:
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series161.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05882041
126341860
250031696

prune212.0ms

Filtered
201 candidates to 87 candidates (43.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2001201
Fresh156
Picked011
Done022
Total2019210

Merged error: 6.4b

Counts
210 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
7.2b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.2b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.2b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite56.0ms

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:
27.0ms
(* (+ 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))))
7.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series976.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
255.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
255.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
251.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
04211503
112041424
242371358
350011238

prune241.0ms

Filtered
142 candidates to 80 candidates (56.3%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1420142
Fresh055
Picked011
Done033
Total1429151

Merged error: 6.4b

Counts
151 → 9

regimes138.0ms

Accuracy

0% (1.7b remaining)

Error of 7.1b against oracle of 5.4b and baseline of 7.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample403.0ms

Algorithm
intervals
Results
236.0ms7995×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body320valid