Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	64×	body	640	valid
4.0ms	139×	body	80	valid
2.0ms	15×	body	1280	valid
2.0ms	23×	body	320	valid
1.0ms	16×	body	160	valid

simplify18.0ms

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: 9.3b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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))
6.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
3.0ms	(/ 1.0 (- x 1.0))
13.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (+ x 1.0))
42.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
33.0ms	(/ 1.0 (- x 1.0))
215.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (82.0ms)

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

prune195.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.1b

Counts

84 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x) (- x 1.0))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (+ x 1.0) (* (- x) (- x 1.0)))
30.0b	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
8×	`*-commutative`
7×	`sub-neg`
5×	`flip3--` `flip--`
4×	`frac-times` `prod-diff`
3×	`flip3-+` `associate-r` `flip-+`
2×	`distribute-lft-neg-out` `neg-mul-1` `fma-neg` `associate-l` `associate-*l/`
1×	`distribute-rgt-neg-out` `fma-udef`

Counts

4 → 41

Calls

4 calls:

4.0ms	(* (- x) (- x 1.0))
5.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
6.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
1.0ms	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

series410.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- x) (- x 1.0))
37.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
125.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
182.0ms	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	283	313
1	1264	304
2	5002	279

prune116.0ms

Filtered

53 candidates to 31 candidates (58.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0.1b

Counts

56 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
10×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in`
9×	`associate-r`
8×	`frac-times` `associate-/r/`
7×	`flip3--` `*-commutative` `flip--`
6×	`sub-neg` `flip3-+` `flip-+`
5×	`times-frac` `associate-/r*`
4×	`associate-l` `associate-*l/`
2×	`distribute-lft-neg-out`
1×	`neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `distribute-rgt-neg-out` `div-inv` `associate-/l*`

Counts

3 → 54

Calls

3 calls:

3.0ms	(* (- x) (- x 1.0))
6.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
7.0ms	(/ (- 2.0) (* (+ x 1.0) (* (- x) (- x 1.0))))

series276.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (- x) (- x 1.0))
118.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
93.0ms	(/ (- 2.0) (* (+ x 1.0) (* (- x) (- x 1.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	347	417
1	1468	410
2	5001	385

prune130.0ms

Filtered

63 candidates to 48 candidates (76.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Merged error: 0.0b

Counts

66 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 2.0) (* (+ x 1.0) -1))
0.0b	(* x (- x 1.0))
0.1b	(/ (/ (- 2.0) (* (+ x 1.0) -1)) (* x (- x 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
13×	`*-commutative`
10×	`neg-mul-1` `associate-/r/`
8×	`associate-*l/`
7×	`associate-/l*`
6×	`associate-/r*` `associate-/l/`
5×	`div-inv`
4×	`flip3-+` `associate-*r/` `flip-+`
3×	`frac-2neg` `div-sub` `distribute-frac-neg` `clear-num`
2×	`neg-sub0` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--`

Counts

3 → 49

Calls

3 calls:

4.0ms	(/ (- 2.0) (* (+ x 1.0) -1))
3.0ms	(* x (- x 1.0))
8.0ms	(/ (/ (- 2.0) (* (+ x 1.0) -1)) (* x (- x 1.0)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- 2.0) (* (+ x 1.0) -1))
44.0ms	(* x (- x 1.0))
89.0ms	(/ (/ (- 2.0) (* (+ x 1.0) -1)) (* x (- x 1.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	321	317
1	1201	298
2	5002	288

prune118.0ms

Filtered

58 candidates to 48 candidates (82.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0b

Counts

61 → 4

regimes16.0ms

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	16	7
1	19	7
2	23	7
3	23	7

end0.0ms

sample596.0ms

Algorithm

intervals

Results

206.0ms	1901×	body	640	valid
123.0ms	4168×	body	80	valid
77.0ms	567×	body	1280	valid
71.0ms	909×	body	320	valid
24.0ms	460×	body	160	valid