Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

350×

body

valid

simplify68.0ms

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

prune5.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:

4.0ms	(- (* x 3.0) 4.0)
8.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
6.0ms	(* x (- (* x 3.0) 4.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x 3.0) 4.0)
35.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
58.0ms	(* x (- (* x 3.0) 4.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	267	361
1	1213	324
2	5002	323

prune107.0ms

Filtered

67 candidates to 44 candidates (65.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

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:

7.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms	(* 9.0 (pow x 2))

series56.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
33.0ms	(* 9.0 (pow x 2))

simplify152.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	193	233
1	766	207
2	4099	201
3	5003	200

prune75.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- (* x 9.0) 12.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

6.0ms

(* x (- (* x 9.0) 12.0))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* x (- (* x 9.0) 12.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	130
1	497	113
2	2567	113
3	5002	113

prune36.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

4.0ms	(- (* x 3.0) 4.0)
7.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))
6.0ms	(* x (- (* x 3.0) 4.0))

series180.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* x 3.0) 4.0)
82.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))
62.0ms	(* x (- (* x 3.0) 4.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	220	373
1	921	324
2	5001	320

prune81.0ms

Filtered

73 candidates to 42 candidates (57.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Merged error: 0b

Counts

77 → 4

regimes14.0ms

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

sample397.0ms

Algorithm

intervals

Results

272.0ms

10583×

body

valid