Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

399×

body

valid

simplify280.0ms

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

prune7.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

9.0ms	(+ (* 3 (* z z)) (* x y))
10.0ms	(* 3 (* z z))

series69.0ms

Counts

2 → 6

Calls

2 calls:

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

prune65.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.1b	(* (* 3 z) z)

rewrite13.0ms

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))
8.0ms	(* (* 3 z) z)

series57.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify129.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	175	165
1	815	146
2	4087	142
3	5001	141

prune67.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 z) z)
0.3b	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
20.1b	(sqrt (* (* 3 z) z))
20.1b	(sqrt (* (* 3 z) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* 3 z) z)
12.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
4.0ms	(sqrt (* (* 3 z) z))
4.0ms	(sqrt (* (* 3 z) z))

series164.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* 3 z) z)
69.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
38.0ms	(sqrt (* (* 3 z) z))
33.0ms	(sqrt (* (* 3 z) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	178	365
1	984	307
2	5002	269

prune162.0ms

Filtered

120 candidates to 52 candidates (43.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (pow z 3/2) 3) (sqrt z))
0.1b	(* (pow z 3/2) 3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`associate-r` `add-cbrt-cube`
8×	`associate-l`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 47

Calls

2 calls:

6.0ms	(* (* (pow z 3/2) 3) (sqrt z))
5.0ms	(* (pow z 3/2) 3)

series111.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (* (pow z 3/2) 3) (sqrt z))
47.0ms	(* (pow z 3/2) 3)

simplify42.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	233	248
1	1178	219
2	5001	216

prune115.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	53	4	57

Merged error: 0.0b

Counts

57 → 4

regimes222.0ms

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

sample578.0ms

Algorithm

intervals

Results

318.0ms

12215×

body

valid