Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify72.0ms

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

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
5.0ms	(- (* (* x 3.0) x) (* x 4.0))
9.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms	(* (* x 3.0) x)

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
71.0ms	(- (* (* x 3.0) x) (* x 4.0))
31.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
28.0ms	(* (* x 3.0) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	318	506
1	1331	451
2	5001	423

prune122.0ms

Filtered

81 candidates to 53 candidates (65.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

localize8.0ms

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))

rewrite16.0ms

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:

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

series48.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

simplify162.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (157.0ms)

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 (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize9.0ms

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))

series123.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
41.0ms	(- (* 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 (28.0ms)

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

prune70.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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

series117.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0) (* 12.0 x))
70.0ms	(* (* x (sqrt 9.0)) (* x (sqrt 9.0)))

simplify138.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	196	332
1	883	236
2	4508	221
3	5002	221

prune50.0ms

Filtered

54 candidates to 24 candidates (44.4%)

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

regimes57.0ms

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	11	4
1	11	4

end0.0ms

sample385.0ms

Algorithm

intervals

Results

273.0ms

10641×

body

valid