Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

354×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (11.0ms)

Iter	Nodes	Cost
0	26	6
1	55	6
2	122	6
3	205	6
4	253	5
5	307	5
6	363	5
7	498	5
8	911	5
9	1187	5
10	1188	5
11	1188	5

prune4.0ms

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: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
4×	`associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `diff-log` `flip-+`

Counts

3 → 58

Calls

3 calls:

7.0ms	(- (* x 3.0) 4.0)
6.0ms	(* x (- (* x 3.0) 4.0))
5.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* x 3.0) 4.0)
64.0ms	(* x (- (* x 3.0) 4.0))
33.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	267	361
1	1213	324
2	5001	323

prune107.0ms

Filtered

67 candidates to 44 candidates (65.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	59	8	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	8	68

Merged error: 0b

Counts

68 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `diff-log` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 41

Calls

2 calls:

6.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms	(* 9.0 (pow x 2))

series52.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
29.0ms	(* 9.0 (pow x 2))

simplify139.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	193	239
1	761	207
2	3883	201
3	5001	200

prune73.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Merged error: 0b

Counts

55 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
4.0ms	(- (* 9.0 x) 12.0)
6.0ms	(* x (- (* 9.0 x) 12.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* x (- (* 9.0 x) 12.0)) 3.0)
42.0ms	(- (* 9.0 x) 12.0)
61.0ms	(* x (- (* 9.0 x) 12.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	204	296
1	721	265
2	3775	261
3	5002	261

prune73.0ms

Filtered

60 candidates to 38 candidates (63.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0b

Counts

65 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* (* (sqrt 9.0) x) (* (sqrt 9.0) x)) 3.0) (* 12.0 x))
0.4b	(* (* (sqrt 9.0) x) (* (sqrt 9.0) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
17×	`pow-prod-down`
14×	`add-exp-log` `add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-plus` `diff-log`
1×	`pow2` `sub-neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 48

Calls

2 calls:

14.0ms	(- (+ (* (* (sqrt 9.0) x) (* (sqrt 9.0) x)) 3.0) (* 12.0 x))
9.0ms	(* (* (sqrt 9.0) x) (* (sqrt 9.0) x))

series121.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (+ (* (* (sqrt 9.0) x) (* (sqrt 9.0) x)) 3.0) (* 12.0 x))
70.0ms	(* (* (sqrt 9.0) x) (* (sqrt 9.0) x))

simplify134.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	196	310
1	883	223
2	4503	215
3	5001	215

prune50.0ms

Filtered

54 candidates to 22 candidates (40.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	54	5	59

Merged error: 0b

Counts

59 → 5

regimes16.0ms

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

sample375.0ms

Algorithm

intervals

Results

260.0ms

10594×

body

valid