Details

Time bar (total: 2.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0215502
1625479
21765479
35001479

prune106.0ms

Filtered
71 candidates to 47 candidates (33.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66571
Fresh000
Picked011
Done000
Total66672

Merged error: 3.1b

Counts
72 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.5b
(/ 1 (- 1.0 (/ y z)))
4.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
57×*-un-lft-identity
49×times-frac
31×add-cube-cbrt
24×frac-times associate-*r* associate-/r*
22×difference-of-squares
16×add-exp-log
13×flip3-+ flip-+ associate-/l*
12×associate-*r/
11×distribute-lft-out--
10×add-cbrt-cube
6×pow1
5×clear-num add-log-exp
4×frac-2neg div-exp associate-*l* prod-exp associate-/r/
3×flip3-- un-div-inv flip-- unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip diff-log pow-prod-down *-commutative distribute-lft-out inv-pow
Counts
3 → 147
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
22.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
45.0ms
(/ 1 (- 1.0 (/ y z)))
57.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04491056
12240965
25001899

prune200.0ms

Filtered
156 candidates to 87 candidates (44.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1542156
Fresh134
Picked011
Done011
Total1557162

Merged error: 3.1b

Counts
162 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
233×times-frac
207×add-sqr-sqrt
205×*-un-lft-identity
92×add-cube-cbrt
46×difference-of-squares
38×associate-/r*
32×distribute-lft-out
25×associate-/r/
24×distribute-lft-out--
17×associate-/l*
16×add-exp-log
10×add-cbrt-cube
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv clear-num associate-/l/
3×flip3-- frac-2neg flip-- remove-double-div
2×rec-exp 1-exp
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 227
Calls
3 calls:
7.0ms
(- 1.0 (/ y z))
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series208.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
140.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
51.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06142180
127281992
250031822

prune223.0ms

Filtered
236 candidates to 104 candidates (55.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2333236
Fresh314
Picked011
Done022
Total2367243

Merged error: 3.1b

Counts
243 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
5.1b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
184×times-frac
176×*-un-lft-identity
172×add-sqr-sqrt
107×add-cube-cbrt
90×associate-*r*
60×associate-/r*
52×add-exp-log
47×associate-/r/
40×frac-times
30×associate-*l*
26×associate-/l*
25×distribute-lft-out
23×flip3-- flip--
20×associate-*r/ div-exp add-cbrt-cube
16×prod-exp
15×unswap-sqr
12×difference-of-squares
10×pow1 rec-exp 1-exp clear-num
8×frac-2neg
7×div-inv
6×cbrt-undiv flip3-+ un-div-inv flip-+ distribute-lft-out-- add-log-exp
5×*-commutative
4×associate-*l/ cbrt-unprod
3×pow-flip
2×pow-prod-down inv-pow
1×sub-neg diff-log
Counts
4 → 326
Calls
4 calls:
6.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (+ x y))
26.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
18.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- 1.0 (/ y z))
34.0ms
(/ 1 (+ x y))
133.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
43.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08732807
142252364
250012057

prune302.0ms

Filtered
338 candidates to 146 candidates (56.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3380338
Fresh033
Picked011
Done033
Total3387345

Merged error: 3.1b

Counts
345 → 7

regimes119.0ms

Accuracy

74.5% (0.5b remaining)

Error of 6.1b against oracle of 5.6b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample358.0ms

Algorithm
intervals
Results
194.0ms7999×body80valid
0.0ms1×body1280valid