Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample12.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	62	11
1	62	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

7.0ms	(+ (* x (- (* 3.0 x) 4.0)) 1.0)
4.0ms	(- (* 3.0 x) 4.0)
6.0ms	(* x (- (* 3.0 x) 4.0))
9.0ms	(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4970	840
1	4970	840

prune109.0ms

Filtered

55 candidates to 80 candidates (-45.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0b

Counts

81 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 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×	`flip3--` `associate-*r/` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (* x 9.0) 12.0)
6.0ms	(* x (- (* x 9.0) 12.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5889	329

prune51.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 0b

Counts

45 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0)
5.0ms	(+ (* 3.0 (* x x)) (* x (neg 4.0)))
12.0ms	(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
5.0ms	(* 3.0 (* x x))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0)
7.0ms	(+ (* 3.0 (* x x)) (* x (neg 4.0)))
4.0ms	(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
3.0ms	(* 3.0 (* x x))

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5266	855

prune93.0ms

Filtered

56 candidates to 81 candidates (-44.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	81	6	87

Merged error: 0b

Counts

87 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-*r/`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `sub-neg` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `flip--`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* 3.0 (sqrt (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
6.0ms	(* x (- (* 3.0 x) 4.0))
6.0ms	(* x (- (* 3.0 x) 4.0))
18.0ms	(* (* 3.0 (sqrt (+ (* x (- (* 3.0 x) 4.0)) 1.0))) (sqrt (+ (* x (- (* 3.0 x) 4.0)) 1.0)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4969	1514
1	4969	1514

prune150.0ms

Filtered

68 candidates to 109 candidates (-60.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	109	6	115

Merged error: 0b

Counts

115 → 6

regimes33.0ms

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	9
1	11	9

end0.0ms

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample325.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms

sample12.0ms

simplify4.0ms

prune5.0ms

localize6.0ms

rewrite27.0ms

series20.0ms

simplify55.0ms

prune109.0ms

localize5.0ms

rewrite10.0ms

series10.0ms

simplify39.0ms

prune51.0ms

localize8.0ms

rewrite33.0ms

series17.0ms

simplify61.0ms

prune93.0ms

localize9.0ms

rewrite44.0ms

series25.0ms

simplify61.0ms

prune150.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample325.0ms

Profiling