Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	2560	valid

simplify300.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

8.0ms

(+ (* 2 (+ x y)) (+ x z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune48.0ms

Filtered

22 candidates to 17 candidates (22.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 2 (+ x y)) x)
0.0b	(+ (+ (* 2 (+ x y)) x) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
3×	`associate-+l+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (* 2 (+ x y)) x)
10.0ms	(+ (+ (* 2 (+ x y)) x) z)

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* 2 (+ x y)) x)
6.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune47.0ms

Filtered

33 candidates to 23 candidates (30.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

5.0ms	(cbrt (+ (* 2 (+ x y)) x))
5.0ms	(cbrt (+ (* 2 (+ x y)) x))
5.0ms	(cbrt (+ (* 2 (+ x y)) x))
15.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (* 2 (+ x y)) x))
31.0ms	(cbrt (+ (* 2 (+ x y)) x))
31.0ms	(cbrt (+ (* 2 (+ x y)) x))
41.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	310	1085
1	1091	1020
2	5001	949

prune233.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (+ x y)) x)) (* (* (cbrt (cbrt (+ (* 2 (+ x y)) x))) (cbrt (cbrt (+ (* 2 (+ x y)) x)))) (cbrt (cbrt (+ (* 2 (+ x y)) x)))))
0.5b	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
0.5b	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
0.5b	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
50×	`associate-*r/`
44×	`associate-*l/`
30×	`cbrt-prod`
15×	`pow1`
13×	`add-exp-log` `add-cube-cbrt` `pow1/3`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow-prod-down`
6×	`associate-l` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`pow-prod-up`
4×	`add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 156

Calls

4 calls:

38.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (* (* (cbrt (cbrt (+ (* 2 (+ x y)) x))) (cbrt (cbrt (+ (* 2 (+ x y)) x)))) (cbrt (cbrt (+ (* 2 (+ x y)) x)))))
6.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
6.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
6.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (* (* (cbrt (cbrt (+ (* 2 (+ x y)) x))) (cbrt (cbrt (+ (* 2 (+ x y)) x)))) (cbrt (cbrt (+ (* 2 (+ x y)) x)))))
37.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
38.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))
44.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	789	5235
1	1954	5090
2	5002	4824

prune537.0ms

Filtered

168 candidates to 108 candidates (35.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	167	7	174

Merged error: 0.0b

Counts

174 → 7

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample480.0ms

Algorithm

intervals

Results

199.0ms	7484×	body	80	valid
19.0ms	166×	body	1280	valid
15.0ms	158×	body	640	valid
10.0ms	119×	body	320	valid
5.0ms	40×	body	2560	valid
2.0ms	45×	body	160	valid

Details

sample19.0ms

simplify300.0ms

prune7.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify34.0ms

prune48.0ms

localize6.0ms

rewrite16.0ms

series10.0ms

simplify71.0ms

prune47.0ms

localize10.0ms

rewrite34.0ms

series134.0ms

simplify42.0ms

prune233.0ms

localize15.0ms

rewrite70.0ms

series159.0ms

simplify82.0ms

prune537.0ms

regimes199.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample480.0ms

Profiling