Details

Time bar (total: 3.2s)

sample30.0ms

Algorithm
intervals
Results
17.0ms438×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

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: 29.6b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.2b
(- (+ (* x x) (* y y)) (* z z))
27.5b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-sqr-sqrt add-cbrt-cube
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 difference-of-squares
2×cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
1×+-commutative sub-neg frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 52
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
6.0ms
(- (+ (* x x) (* y y)) (* z z))
10.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* x x) (* y y))
40.0ms
(- (+ (* x x) (* y y)) (* z z))
81.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0337520
11492454
25001446

prune143.0ms

Filtered
61 candidates to 46 candidates (75.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New55661
Fresh000
Picked101
Done000
Total56662

Merged error: 13.2b

Counts
62 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
7.7b
(/ (pow z 2) y)
13.2b
(/ (pow x 2) y)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
50×add-sqr-sqrt
45×*-un-lft-identity
38×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
14×add-exp-log
11×add-log-exp
9×unpow2 sqr-pow
8×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
4×pow1
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-+ div-inv distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
13.0ms
(+ y (/ (pow x 2) y))
20.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow z 2) y)
6.0ms
(/ (pow x 2) y)

series108.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ (pow x 2) y))
39.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
18.0ms
(/ (pow z 2) y)
20.0ms
(/ (pow x 2) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0419838
11459771
25001759

prune302.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1387145
Fresh235
Picked101
Done000
Total14110151

Merged error: 2.3b

Counts
151 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ x (/ y x)))
0.0b
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b
(/ x (/ y x))
7.7b
(/ (pow z 2) y)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
75×add-sqr-sqrt
70×*-un-lft-identity
63×add-cube-cbrt
16×associate-/r*
14×add-exp-log
13×unpow-prod-down
11×add-cbrt-cube associate-/l* add-log-exp
6×div-exp div-inv
5×unpow2 difference-of-squares sqr-pow
4×pow1 cbrt-undiv
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative pow-to-exp sub-neg flip3-- pow-exp associate--l+ associate-/r/ flip--
Counts
4 → 154
Calls
4 calls:
15.0ms
(+ y (/ x (/ y x)))
24.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms
(/ x (/ y x))
5.0ms
(/ (pow z 2) y)

series106.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ x (/ y x)))
43.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
18.0ms
(/ x (/ y x))
19.0ms
(/ (pow z 2) y)

simplify80.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06051049
12708969
25001963

prune325.0ms

Filtered
166 candidates to 113 candidates (68.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1633166
Fresh369
Picked101
Done000
Total1679176

Merged error: 0.0b

Counts
176 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
97×add-sqr-sqrt
95×*-un-lft-identity
88×add-cube-cbrt
26×associate-/r*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×div-inv
6×cbrt-undiv div-exp associate-/l*
4×pow1
3×difference-of-squares
2×frac-2neg flip3-+ diff-log clear-num sum-log associate-/r/ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 173
Calls
4 calls:
13.0ms
(+ y (/ x (/ y x)))
27.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
6.0ms
(/ z (/ y z))
6.0ms
(/ x (/ y x))

series111.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ x (/ y x)))
39.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
18.0ms
(/ z (/ y z))
23.0ms
(/ x (/ y x))

simplify104.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07621236
137801155
250021151

prune330.0ms

Filtered
185 candidates to 133 candidates (71.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1823185
Fresh268
Picked101
Done000
Total1859194

Merged error: 0b

Counts
194 → 9

regimes140.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample841.0ms

Algorithm
intervals
Results
561.0ms13763×body80valid

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