Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

397×

body

valid

simplify276.0ms

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

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

localize9.0ms

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:

34.0ms	(+ (* 3 (* z z)) (* x y))
25.0ms	(* 3 (* z z))

simplify81.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (20.0ms)

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

prune57.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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))
5.0ms	(* (* 3 z) z)

series57.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify125.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (122.0ms)

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

prune49.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

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)

rewrite31.0ms

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:

11.0ms	(+ (* (* (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)

series261.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))
64.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
44.0ms	(* (sqrt 3) z)
39.0ms	(* (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

prune127.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 3) z) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) z)))
0.4b	(* (sqrt 3) z)
0.4b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) z))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
45×	`add-sqr-sqrt`
42×	`pow-prod-down`
41×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
40×	`cbrt-prod`
24×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`associate-l`
14×	`associate-r`
11×	`swap-sqr` `unswap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 140

Calls

4 calls:

15.0ms	(* (* (sqrt 3) z) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) z)))
4.0ms	(* (sqrt 3) z)
10.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) z))
7.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series160.0ms

Counts

4 → 10

Calls

4 calls:

69.0ms	(* (* (sqrt 3) z) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) z)))
43.0ms	(* (sqrt 3) z)
47.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) z))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify81.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	355	1442
1	1997	1050
2	5001	764

prune183.0ms

Filtered

150 candidates to 65 candidates (43.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	151	4	155

Merged error: 0.0b

Counts

155 → 4

regimes95.0ms

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	11	4
1	11	4

end0.0ms

sample775.0ms

Algorithm

intervals

Results

531.0ms

12295×

body

valid