Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

330×

body

valid

simplify70.0ms

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))))

rewrite16.0ms

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

series136.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* x 3.0) 4.0)
58.0ms	(* x (- (* x 3.0) 4.0))
35.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (37.0ms)

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

prune107.0ms

Filtered

67 candidates to 44 candidates (65.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	5	68

Merged error: 0b

Counts

68 → 5

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))

rewrite12.0ms

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:

27.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
24.0ms	(* 9.0 (pow x 2))

simplify137.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (132.0ms)

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

prune70.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* 9.0 x) 12.0)
6.0ms	(* x (- (* 9.0 x) 12.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* 9.0 x) 12.0)
64.0ms	(* x (- (* 9.0 x) 12.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	135	189
1	536	167
2	2705	166
3	5001	166

prune52.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* (* (sqrt 9.0) x) (* (sqrt 9.0) x)) 3.0) (* 12.0 x))
0.3b	(* (* (sqrt 9.0) x) (* (sqrt 9.0) x))

rewrite20.0ms

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:

10.0ms	(- (+ (* (* (sqrt 9.0) x) (* (sqrt 9.0) x)) 3.0) (* 12.0 x))
8.0ms	(* (* (sqrt 9.0) x) (* (sqrt 9.0) x))

series128.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (+ (* (* (sqrt 9.0) x) (* (sqrt 9.0) x)) 3.0) (* 12.0 x))
73.0ms	(* (* (sqrt 9.0) x) (* (sqrt 9.0) x))

simplify144.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (31.0ms)

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

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Merged error: 0b

Counts

58 → 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	13	5
1	13	5

end0.0ms

sample440.0ms

Algorithm

intervals

Results

322.0ms

10667×

body

valid