Details

Time bar (total: 3.7s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

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: 5.8b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite31.0ms

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:
9.0ms
(- 1.0 (/ y z))
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(- 1.0 (/ y z))
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220502
1647479
21852479
35001479

prune174.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New62971
Fresh000
Picked011
Done000
Total621072

Merged error: 4.5b

Counts
72 → 10

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)))
5.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series177.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
117.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06122121
127201935
250011771

prune319.0ms

Filtered
219 candidates to 97 candidates (44.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2172219
Fresh268
Picked101
Done011
Total2209229

Merged error: 4.5b

Counts
229 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ x y))
0.1b
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
7.4b
(/ (/ y z) (+ x y))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
271×times-frac
252×*-un-lft-identity
201×add-sqr-sqrt
96×add-cube-cbrt
38×distribute-lft-out
35×distribute-lft-out--
30×difference-of-squares
28×associate-/r/
27×associate-/r*
19×associate-/l*
18×div-inv
15×add-exp-log distribute-rgt-out--
13×add-cbrt-cube
12×flip3-+ flip-+
6×div-exp add-log-exp
5×pow1 cbrt-undiv
3×frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp associate-/l/ inv-pow
Counts
4 → 248
Calls
4 calls:
5.0ms
(/ 1.0 (+ x y))
52.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
87.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
14.0ms
(/ (/ y z) (+ x y))

series371.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1.0 (+ x y))
122.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
134.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
74.0ms
(/ (/ y z) (+ x y))

simplify77.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07252353
129492244
250022164

prune391.0ms

Filtered
260 candidates to 155 candidates (59.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New2564260
Fresh167
Picked011
Done011
Total25712269

Merged error: 0.0b

Counts
269 → 12

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(- 1.0 (/ y z))
0.1b
(/ 1 (- 1.0 (/ y z)))
5.8b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
1166×times-frac
724×add-sqr-sqrt
696×*-un-lft-identity
414×add-cube-cbrt
124×difference-of-squares
93×associate-/r/
79×distribute-lft-out
62×distribute-lft-out--
52×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
21×flip3-- flip--
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 603
Calls
4 calls:
5.0ms
(/ 1 (+ x y))
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
25.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (+ x y))
15.0ms
(- 1.0 (/ y z))
43.0ms
(/ 1 (- 1.0 (/ y z)))
126.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify128.0ms

Algorithm
egg-herbie
Counts
615 → 615
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
021388510
150017596

prune663.0ms

Filtered
615 candidates to 243 candidates (39.5%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6141615
Fresh189
Picked011
Done022
Total61512627

Merged error: 0.0b

Counts
627 → 12

regimes201.0ms

Accuracy

98.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820
12820

end0.0ms

sample363.0ms

Algorithm
intervals
Results
202.0ms7999×body80valid
0.0ms1×body2560valid