Details

sample279.0ms

Algorithm

intervals

Results

11.0ms	421×	body	80	valid
6.0ms	421×	pre	80	true

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
46×	`times-frac`
35×	`add-cube-cbrt`
28×	`associate-r`
22×	`associate-l`
14×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
11×	`difference-of-squares`
8×	`pow1` `unswap-sqr`
7×	`distribute-lft-out--`
6×	`*-commutative` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

4 → 141

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)
28.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series158.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify66.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	504	947
1	2277	892
2	5001	880

prune298.0ms

Filtered

153 candidates to 106 candidates (69.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	144	9	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	9	154

Merged error: 0b

Counts

154 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (+ 1.0 m))
0.1b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
0.1b	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

1069×	`add-sqr-sqrt`
674×	`associate-r`
550×	`times-frac`
451×	`*-un-lft-identity`
380×	`difference-of-squares`
246×	`associate-l`
214×	`unswap-sqr`
210×	`*-commutative`
181×	`add-cube-cbrt`
180×	`swap-sqr`
76×	`distribute-lft-out--`
44×	`distribute-lft-out`
42×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`pow1`
8×	`associate-*r/`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `add-log-exp`
3×	`flip3--` `pow-prod-down` `flip--`
2×	`+-commutative` `sub-neg` `flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 728

Calls

4 calls:

6.0ms	(* v (+ 1.0 m))
23.0ms	(* m (- (* 1.0 1.0) (* m m)))
48.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
180.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series246.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* v (+ 1.0 m))
70.0ms	(* m (- (* 1.0 1.0) (* m m)))
72.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
67.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify118.0ms

Algorithm

egg-herbie

Counts

740 → 740

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	2076	7415
1	5001	7185

prune797.0ms

Filtered

740 candidates to 248 candidates (33.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	736	4	740
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	740	9	749

Merged error: 0b

Counts

749 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ (sqrt (* 1.0 1.0)) m))
0.0b	(* (/ m (/ v (+ (sqrt (* 1.0 1.0)) m))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m)))
0.1b	(/ m (/ v (+ (sqrt (* 1.0 1.0)) m)))
0.1b	(* (- (* (/ m (/ v (+ (sqrt (* 1.0 1.0)) m))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))) 1.0) m)

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

758×	`add-sqr-sqrt`
667×	`*-un-lft-identity`
502×	`times-frac`
490×	`associate-/r*`
456×	`frac-times`
358×	`add-cube-cbrt`
324×	`associate-/l*`
181×	`difference-of-squares`
145×	`sqrt-prod`
122×	`distribute-lft-out`
81×	`associate-l`
78×	`associate-/r/`
50×	`clear-num` `associate-/l/`
49×	`frac-2neg` `associate-r`
42×	`unswap-sqr`
34×	`add-exp-log` `add-cbrt-cube`
32×	`distribute-lft-out--`
31×	`*-commutative` `div-inv`
29×	`flip3-+` `swap-sqr` `flip-+`
26×	`flip3--` `associate-*l/` `flip--`
19×	`associate-*r/`
13×	`cbrt-undiv` `div-exp`
8×	`pow1`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`un-div-inv`
2×	`pow-prod-down`

Counts

4 → 804

Calls

4 calls:

11.0ms	(/ v (+ (sqrt (* 1.0 1.0)) m))
90.0ms	(* (/ m (/ v (+ (sqrt (* 1.0 1.0)) m))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m)))
16.0ms	(/ m (/ v (+ (sqrt (* 1.0 1.0)) m)))
152.0ms	(* (- (* (/ m (/ v (+ (sqrt (* 1.0 1.0)) m))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))) 1.0) m)

series417.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ v (+ (sqrt (* 1.0 1.0)) m))
145.0ms	(* (/ m (/ v (+ (sqrt (* 1.0 1.0)) m))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m)))
63.0ms	(/ m (/ v (+ (sqrt (* 1.0 1.0)) m)))
130.0ms	(* (- (* (/ m (/ v (+ (sqrt (* 1.0 1.0)) m))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))) 1.0) m)

simplify181.0ms

Algorithm

egg-herbie

Counts

816 → 816

Iterations

Useful iterations: 1 (63.0ms)

Iter	Nodes	Cost
0	3479	13055
1	5001	12808

prune1.7s

Filtered

816 candidates to 446 candidates (54.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	813	3	816
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	817	8	825

Merged error: 0b

Counts

825 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))
0.0b	(* (* (/ 1 v) (* m (+ m (fabs 1.0)))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m)))
0.1b	(* (- (* (* (/ 1 v) (* m (+ m (fabs 1.0)))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))) 1.0) m)
0.3b	(* (/ 1 v) (* m (+ m (fabs 1.0))))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

929×	`frac-times`
882×	`add-sqr-sqrt`
501×	`associate-/l*`
481×	`associate-*r/`
450×	`*-un-lft-identity`
313×	`associate-/r*`
249×	`difference-of-squares`
244×	`add-cube-cbrt`
220×	`associate-*l/`
212×	`flip3-+` `flip-+`
195×	`sqrt-prod`
136×	`times-frac`
124×	`unswap-sqr`
103×	`add-exp-log`
96×	`associate-l`
95×	`clear-num`
94×	`frac-2neg`
83×	`associate-r`
62×	`associate-/l/`
61×	`add-cbrt-cube`
55×	`prod-exp`
53×	`distribute-lft-out`
45×	`*-commutative`
44×	`distribute-lft-out--`
39×	`swap-sqr`
32×	`flip3--` `flip--`
29×	`cbrt-unprod`
22×	`div-exp`
20×	`pow1`
12×	`cbrt-undiv`
10×	`pow-prod-down`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`rec-exp` `1-exp`
5×	`div-inv`
4×	`+-commutative` `associate-/r/` `add-log-exp`
3×	`un-div-inv`
1×	`div-sub`

Counts

4 → 939

Calls

4 calls:

15.0ms	(/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))
73.0ms	(* (* (/ 1 v) (* m (+ m (fabs 1.0)))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m)))
142.0ms	(* (- (* (* (/ 1 v) (* m (+ m (fabs 1.0)))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))) 1.0) m)
16.0ms	(* (/ 1 v) (* m (+ m (fabs 1.0))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))
220.0ms	(* (* (/ 1 v) (* m (+ m (fabs 1.0)))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m)))
340.0ms	(* (- (* (* (/ 1 v) (* m (+ m (fabs 1.0)))) (/ (- (sqrt (* 1.0 1.0)) m) (+ 1.0 m))) 1.0) m)
62.0ms	(* (/ 1 v) (* m (+ m (fabs 1.0))))

simplify220.0ms

Algorithm

egg-herbie

Counts

951 → 951

Iterations

Useful iterations: 1 (74.0ms)

Iter	Nodes	Cost
0	4291	15931
1	5002	15336

prune1.8s

Filtered

951 candidates to 430 candidates (45.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	951	0	951
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	951	8	959

Merged error: 0b

Counts

959 → 8

regimes95.0ms

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	16	9
1	16	9

end0.0ms

sample731.0ms

Algorithm

intervals

Results

334.0ms	13470×	body	80	valid
178.0ms	13470×	pre	80	true