Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms271×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.7b
(* y (+ 1.0 (* z z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
associate-*r/ div-inv
*-commutative associate-/l/
+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ times-frac clear-num associate-/r* associate-/r/ flip-+
associate-/l*
Counts
2 → 20
Calls
2 calls:
5.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.0ms
(* y (+ 1.0 (* z z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
57.0ms
(* y (+ 1.0 (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0150110
149199
2206694
3500193

prune62.0ms

Filtered
26 candidates to 19 candidates (73.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New20626
Fresh101
Picked101
Done000
Total22628

Merged error: 4.1b

Counts
28 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
4.9b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-/l/
frac-2neg clear-num div-inv
associate-/l*
associate-/r/
flip3-+ flip-+
Counts
2 → 20
Calls
2 calls:
3.0ms
(/ (/ 1.0 y) x)
6.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ 1.0 y) x)
54.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
013298
144286
2218284
3500184

prune78.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23326
Fresh325
Picked101
Done000
Total27532

Merged error: 4.1b

Counts
32 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (* x (/ y 1.0)))
4.9b
(/ (/ 1 (* x (/ y 1.0))) (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-/r/
clear-num
associate-*r/ associate-/r* associate-/l/
frac-2neg div-inv associate-/l*
associate-*r* un-div-inv *-commutative
flip3-+ flip-+ inv-pow
Counts
2 → 27
Calls
2 calls:
7.0ms
(/ 1 (* x (/ y 1.0)))
12.0ms
(/ (/ 1 (* x (/ y 1.0))) (+ 1.0 (* z z)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1 (* x (/ y 1.0)))
78.0ms
(/ (/ 1 (* x (/ y 1.0))) (+ 1.0 (* z z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0141123
1616108
24016102
35002102

prune57.0ms

Filtered
33 candidates to 21 candidates (63.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh224
Picked011
Done000
Total33538

Merged error: 4.1b

Counts
38 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 x) (/ y 1.0))
4.9b
(/ (/ (/ 1 x) (/ y 1.0)) (+ 1.0 (* z z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-/l/
11×div-inv
associate-/r/
frac-2neg clear-num associate-/l*
times-frac associate-/r*
flip3-+ flip-+
Counts
2 → 30
Calls
2 calls:
4.0ms
(/ (/ 1 x) (/ y 1.0))
7.0ms
(/ (/ (/ 1 x) (/ y 1.0)) (+ 1.0 (* z z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (/ 1 x) (/ y 1.0))
56.0ms
(/ (/ (/ 1 x) (/ y 1.0)) (+ 1.0 (* z z)))

simplify123.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0168147
1675121
23865117
35001117

prune74.0ms

Filtered
36 candidates to 23 candidates (63.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35136
Fresh123
Picked011
Done011
Total36541

Merged error: 4.1b

Counts
41 → 5

regimes115.0ms

Accuracy

0% (1.6b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample442.0ms

Algorithm
intervals
Results
256.0ms8610×body80valid