Details

sample23.0ms

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

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: 9.7b

Counts

2 → 1

localize12.0ms

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)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

37×	`frac-2neg` `clear-num`
36×	`frac-sub`
33×	`frac-add`
5×	`flip3--` `flip--`
4×	`associate-/r/`
2×	`sub-neg` `associate-+l+` `flip3-+` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 62

Calls

4 calls:

2.0ms	(/ 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)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ 1.0 (+ x 1.0))
44.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
228.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	734	1044
1	3209	942
2	5001	942

prune158.0ms

Filtered

74 candidates to 56 candidates (75.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0.0b

Counts

75 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.0b	(/ (- (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))) (* (+ x 1.0) (* (- x) (- x 1.0))))
0.0b	(* (+ x 1.0) (* (- x) (- x 1.0)))
17.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

78×	`associate-*l/`
36×	`flip3--` `flip--`
32×	`frac-add`
28×	`frac-times`
26×	`associate-*r/`
24×	`flip3-+` `flip-+`
18×	`associate-/l/` `distribute-neg-frac`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`neg-mul-1` `associate-r`
8×	`sub-neg` `associate-/r/`
7×	`*-commutative`
5×	`times-frac` `associate-/r*`
4×	`associate-+l+`
3×	`associate-l`
1×	`+-commutative` `distribute-lft-neg-out` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `distribute-rgt-neg-out` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

7.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
24.0ms	(/ (- (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))) (* (+ x 1.0) (* (- x) (- x 1.0))))
6.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
13.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series264.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
93.0ms	(/ (- (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))) (* (+ x 1.0) (* (- x) (- x 1.0))))
125.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	902	1919
1	5001	1897

prune436.0ms

Filtered

111 candidates to 91 candidates (82.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	111	3	114

Merged error: 0.0b

Counts

114 → 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))))

series296.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (- x) (- x 1.0))
132.0ms	(* (+ x 1.0) (* (- x) (- x 1.0)))
94.0ms	(/ (- 2.0) (* (+ x 1.0) (* (- x) (- x 1.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	336	421
1	1404	412
2	5001	387

prune124.0ms

Filtered

63 candidates to 47 candidates (74.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- 2.0) (- (* 1.0 x) (pow x 3)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`neg-mul-1` `distribute-rgt-out--` `unpow3` `associate-/r/`
1×	`neg-sub0` `flip3--` `frac-2neg` `times-frac` `div-sub` `distribute-frac-neg` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

1 → 10

Calls

1 calls:

8.0ms

(/ (- 2.0) (- (* 1.0 x) (pow x 3)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (- 2.0) (- (* 1.0 x) (pow x 3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	125	75
1	412	71
2	1670	70
3	5002	70

prune36.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

regimes16.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample638.0ms

Algorithm

intervals

Results

216.0ms	1825×	body	640	valid
124.0ms	4122×	body	80	valid
87.0ms	592×	body	1280	valid
80.0ms	940×	body	320	valid
30.0ms	523×	body	160	valid