Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

378×

body

valid

simplify209.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	81	4
3	127	4
4	133	4
5	149	4
6	203	4
7	403	4
8	1274	4
9	4581	4
10	5001	4

prune2.0ms

Filtered

1 candidates to 0 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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`associate-l`
11×	`*-un-lft-identity`
10×	`associate-r`
8×	`unswap-sqr`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`swap-sqr`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

14.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	231	280
1	1182	246
2	5001	246

prune61.0ms

Filtered

50 candidates to 29 candidates (42.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	6	51

Merged error: 0b

Counts

51 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.0b	(* 2.0 (pow x 3))
0.2b	(* (* x x) 3.0)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-l`
30×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
12×	`add-cube-cbrt`
10×	`pow1` `add-cbrt-cube` `unswap-sqr`
9×	`distribute-lft-out`
7×	`add-log-exp`
6×	`distribute-rgt-neg-in` `prod-exp`
4×	`unpow-prod-down` `swap-sqr` `pow-prod-down` `*-commutative` `cbrt-unprod`
2×	`sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 88

Calls

3 calls:

58.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
6.0ms	(* 2.0 (pow x 3))
8.0ms	(* (* x x) 3.0)

series182.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
48.0ms	(* 2.0 (pow x 3))
28.0ms	(* (* x x) 3.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	315	406
1	1589	365
2	5001	351

prune132.0ms

Filtered

97 candidates to 56 candidates (42.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x 1) (* 3.0 x)) (- (* 2.0 (pow x 3))))
0.0b	(* 2.0 (pow x 3))
0.2b	(* (* x 1) (* 3.0 x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`associate-l`
37×	`*-un-lft-identity`
31×	`associate-r`
25×	`add-exp-log`
19×	`unswap-sqr`
17×	`pow1` `add-cbrt-cube`
16×	`prod-exp`
12×	`add-cube-cbrt` `distribute-lft-out`
9×	`pow-prod-down` `cbrt-unprod`
8×	`distribute-rgt-neg-in`
7×	`*-commutative` `add-log-exp`
4×	`unpow-prod-down`
3×	`unpow3`
2×	`distribute-lft-neg-in` `distribute-rgt-out` `1-exp` `sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 109

Calls

3 calls:

73.0ms	(+ (* (* x 1) (* 3.0 x)) (- (* 2.0 (pow x 3))))
6.0ms	(* 2.0 (pow x 3))
13.0ms	(* (* x 1) (* 3.0 x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* (* x 1) (* 3.0 x)) (- (* 2.0 (pow x 3))))
45.0ms	(* 2.0 (pow x 3))
28.0ms	(* (* x 1) (* 3.0 x))

simplify71.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	469	557
1	2325	463
2	5002	436

prune144.0ms

Filtered

118 candidates to 61 candidates (48.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* x (cbrt 3.0)) (cbrt 3.0)) (* (cbrt 3.0) x))
0.3b	(* (cbrt 3.0) x)
0.3b	(* x (cbrt 3.0))
0.4b	(* (* x (cbrt 3.0)) (cbrt 3.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-sqr-sqrt`
95×	`unswap-sqr`
86×	`associate-l`
85×	`add-cbrt-cube`
79×	`cbrt-unprod`
58×	`cbrt-prod`
52×	`associate-r`
34×	`pow1` `add-exp-log`
27×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow-prod-down` `prod-exp`
8×	`*-commutative`
4×	`add-log-exp`

Counts

4 → 203

Calls

4 calls:

28.0ms	(* (* (* x (cbrt 3.0)) (cbrt 3.0)) (* (cbrt 3.0) x))
8.0ms	(* (cbrt 3.0) x)
5.0ms	(* x (cbrt 3.0))
11.0ms	(* (* x (cbrt 3.0)) (cbrt 3.0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (* (* x (cbrt 3.0)) (cbrt 3.0)) (* (cbrt 3.0) x))
43.0ms	(* (cbrt 3.0) x)
49.0ms	(* x (cbrt 3.0))
78.0ms	(* (* x (cbrt 3.0)) (cbrt 3.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	650	1756
1	3888	1407
2	5001	1284

prune354.0ms

Filtered

215 candidates to 132 candidates (38.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

regimes19.0ms

Accuracy

0% (0.1b 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 (0.0ms)

Iter	Nodes	Cost
0	23	7
1	29	7
2	29	7

end0.0ms

sample364.0ms

Algorithm

intervals

Results

233.0ms

12012×

body

valid