Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

389×

body

valid

simplify282.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* 3 (* z z)) (* x y))
27.0ms	(* 3 (* z z))

simplify78.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143

prune65.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 0.0b

Counts

38 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series60.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 z) z) (* x y))
27.0ms	(* (* 3 z) z)

simplify132.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141

prune57.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Merged error: 0.0b

Counts

42 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
4.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (+ (* x y) (* z z)) (* z z))
35.0ms	(+ (* x y) (* z z))
49.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify126.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	215	352
1	978	316
2	3975	293
3	5001	282

prune85.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	48	7	55

Merged error: 0b

Counts

55 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
0.3b	(* (* (sqrt 3) z) (* (sqrt 3) z))
0.4b	(* (sqrt 3) z)
0.4b	(* (sqrt 3) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
11.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
5.0ms	(* (sqrt 3) z)
5.0ms	(* (sqrt 3) z)

series238.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
68.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
43.0ms	(* (sqrt 3) z)
39.0ms	(* (sqrt 3) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	212	450
1	1017	367
2	5002	365

prune132.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 0b

Counts

108 → 7

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample654.0ms

Algorithm

intervals

Results

388.0ms

12183×

body

valid