Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	54×	body	640	valid
4.0ms	140×	body	80	valid
3.0ms	34×	body	320	valid
2.0ms	14×	body	1280	valid
1.0ms	14×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 9.7b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

37×	`frac-2neg` `clear-num`
36×	`frac-sub`
33×	`frac-add`
11×	`div-inv`
10×	`associate-/r/`
6×	`prod-diff`
5×	`associate-+l+` `flip3--` `flip3-+` `flip--` `flip-+`
3×	`fma-neg`
2×	`sub-neg`
1×	`+-commutative` `associate-+l-`

Counts

4 → 71

Calls

4 calls:

3.0ms	(/ 1.0 (- x 1.0))
3.0ms	(/ 1.0 (+ x 1.0))
6.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
48.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
225.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	827	1090
1	3620	964
2	5001	941

prune204.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0))
0.0b	(/ (fma (+ x 1.0) (* 1.0 (/ x 2.0)) (- (* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0)))) (* (+ x 1.0) (* (/ x 2.0) (- x 1.0))))
0.0b	(* (+ x 1.0) (* (/ x 2.0) (- x 1.0)))
29.0b	(fma (+ x 1.0) (* 1.0 (/ x 2.0)) (- (* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

80×	`frac-times`
36×	`associate-*r/`
35×	`associate-/r/`
25×	`flip3--` `flip--`
24×	`flip3-+` `flip-+`
22×	`associate-*l/`
19×	`frac-2neg` `clear-num`
10×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `associate-r`
5×	`associate-/r` `-commutative`
3×	`associate-l` `div-inv`
1×	`distribute-lft-neg-out` `neg-mul-1` `fma-udef`

Counts

4 → 100

Calls

4 calls:

4.0ms	(* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0))
9.0ms	(/ (fma (+ x 1.0) (* 1.0 (/ x 2.0)) (- (* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0)))) (* (+ x 1.0) (* (/ x 2.0) (- x 1.0))))
8.0ms	(* (+ x 1.0) (* (/ x 2.0) (- x 1.0)))
1.0ms	(fma (+ x 1.0) (* 1.0 (/ x 2.0)) (- (* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0))))

series789.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0))
375.0ms	(/ (fma (+ x 1.0) (* 1.0 (/ x 2.0)) (- (* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0)))) (* (+ x 1.0) (* (/ x 2.0) (- x 1.0))))
121.0ms	(* (+ x 1.0) (* (/ x 2.0) (- x 1.0)))
239.0ms	(fma (+ x 1.0) (* 1.0 (/ x 2.0)) (- (* (- (fma 1.0 (/ x 2.0) (- (+ x 1.0)))) (- x 1.0))))

simplify93.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	613	1412
1	3512	1396
2	5002	1392

prune420.0ms

Filtered

112 candidates to 95 candidates (84.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ x 2.0) (- x 1.0))
0.0b	(* (+ x 1.0) (* (/ x 2.0) (- x 1.0)))
0.1b	(/ 1.0 (* (+ x 1.0) (* (/ x 2.0) (- x 1.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

86×	`frac-times`
36×	`associate-*r/`
35×	`associate-/r/`
28×	`flip3--` `flip--`
25×	`associate-*l/`
24×	`flip3-+` `flip-+`
22×	`frac-2neg` `clear-num`
10×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `associate-r`
5×	`associate-/r` `-commutative`
4×	`div-inv`
3×	`associate-l`

Counts

3 → 107

Calls

3 calls:

4.0ms	(* (/ x 2.0) (- x 1.0))
12.0ms	(* (+ x 1.0) (* (/ x 2.0) (- x 1.0)))
9.0ms	(/ 1.0 (* (+ x 1.0) (* (/ x 2.0) (- x 1.0))))

series275.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (/ x 2.0) (- x 1.0))
120.0ms	(* (+ x 1.0) (* (/ x 2.0) (- x 1.0)))
88.0ms	(/ 1.0 (* (+ x 1.0) (* (/ x 2.0) (- x 1.0))))

simplify86.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	567	900
1	3333	895
2	5001	895

prune301.0ms

Filtered

116 candidates to 100 candidates (86.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ x 2.0) (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (/ 1.0 (+ x 1.0)) (* (/ x 2.0) (- x 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-/r/`
12×	`frac-times`
11×	`div-inv`
9×	`frac-2neg` `times-frac` `clear-num`
8×	`flip3--` `flip--`
6×	`associate-*l/`
5×	`flip3-+` `associate-l` `*-commutative` `flip-+`
4×	`associate-*r/`
3×	`associate-/r` `associate-/l/` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`

Counts

3 → 54

Calls

3 calls:

4.0ms	(* (/ x 2.0) (- x 1.0))
3.0ms	(/ 1.0 (+ x 1.0))
7.0ms	(/ (/ 1.0 (+ x 1.0)) (* (/ x 2.0) (- x 1.0)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (/ x 2.0) (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
90.0ms	(/ (/ 1.0 (+ x 1.0)) (* (/ x 2.0) (- x 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	415	375
1	1788	355
2	5001	350

prune135.0ms

Filtered

63 candidates to 53 candidates (84.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

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	6
1	11	6

end0.0ms

sample613.0ms

Algorithm

intervals

Results

207.0ms	1825×	body	640	valid
123.0ms	4122×	body	80	valid
83.0ms	592×	body	1280	valid
76.0ms	940×	body	320	valid
29.0ms	523×	body	160	valid