Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

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

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 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

5.0ms	(- (* (* x 3.0) x) (* x 4.0))
10.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms	(* (* x 3.0) x)

series124.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* (* x 3.0) x) (* x 4.0))
30.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
24.0ms	(* (* x 3.0) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	286	367
1	1258	325
2	5002	310

prune108.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ (* 9.0 (pow x 2)) 3.0)
7.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series95.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* 9.0 (pow x 2)) 3.0)
25.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
24.0ms	(* 9.0 (pow x 2))

simplify182.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	237	299
1	891	276
2	4637	269
3	5001	269

prune118.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

7.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
4.0ms	(- (* x 9.0) 12.0)
6.0ms	(* x (- (* x 9.0) 12.0))

series119.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
36.0ms	(- (* x 9.0) 12.0)
60.0ms	(* x (- (* x 9.0) 12.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	206	296
1	748	265
2	3793	261
3	5001	261

prune94.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log` `distribute-rgt-neg-out`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l-` `flip3-+` `unsub-neg` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `associate-r` `*-commutative`

Counts

3 → 48

Calls

3 calls:

8.0ms	(+ (+ (* x (* x 9.0)) (* x (- 12.0))) 3.0)
5.0ms	(+ (* x (* x 9.0)) (* x (- 12.0)))
5.0ms	(* x (* x 9.0))

series118.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ (* x (* x 9.0)) (* x (- 12.0))) 3.0)
70.0ms	(+ (* x (* x 9.0)) (* x (- 12.0)))
24.0ms	(* x (* x 9.0))

simplify157.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	244	327
1	984	280
2	4832	270
3	5001	269

prune87.0ms

Filtered

57 candidates to 37 candidates (64.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

regimes17.0ms

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

sample386.0ms

Algorithm

intervals

Results

268.0ms

10597×

body

valid