Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

380×

body

valid

simplify284.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

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	3185	4
12	5003	4

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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))
0.1b	(* 3 (* z z))

rewrite11.0ms

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))

series75.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* 3 (* z z)) (* x y))
33.0ms	(* 3 (* z z))

simplify77.0ms

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

prune75.0ms

Filtered

36 candidates to 23 candidates (36.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

4.0ms	(+ (* (* 3 z) z) (* x y))
4.0ms	(* (* 3 z) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (* 3 z) z) (* x y))
30.0ms	(* (* 3 z) z)

simplify133.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (129.0ms)

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

prune69.0ms

Filtered

35 candidates to 21 candidates (40.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

4.0ms	(+ (* x y) (* z z))
5.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series168.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* x y) (* z z))
57.0ms	(+ (+ (* x y) (* z z)) (* z z))
62.0ms	(+ (+ (+ (* 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

prune112.0ms

Filtered

47 candidates to 34 candidates (27.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize8.0ms

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)

rewrite27.0ms

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:

8.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
8.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
4.0ms	(* (sqrt 3) z)
5.0ms	(* (sqrt 3) z)

series318.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
91.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
50.0ms	(* (sqrt 3) z)
56.0ms	(* (sqrt 3) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

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

prune183.0ms

Filtered

101 candidates to 53 candidates (47.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0b

Counts

106 → 5

regimes410.0ms

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

sample723.0ms

Algorithm

intervals

Results

337.0ms

12343×

body

valid

Details

sample27.0ms

simplify284.0ms

prune11.0ms

localize6.0ms

rewrite11.0ms

series75.0ms

simplify77.0ms

prune75.0ms

localize9.0ms

rewrite9.0ms

series77.0ms

simplify133.0ms

prune69.0ms

localize7.0ms

rewrite18.0ms

series168.0ms

simplify126.0ms

prune112.0ms

localize8.0ms

rewrite27.0ms

series318.0ms

simplify41.0ms

prune183.0ms

regimes410.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample723.0ms

Profiling