Details

sample285.0ms

Algorithm

intervals

Results

10.0ms	421×	body	80	valid
6.0ms	421×	pre	80	true

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)

series162.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
53.0ms	(* m (- 1.0 m))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
49.0ms	(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune211.0ms

Filtered

109 candidates to 72 candidates (66.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 0b

Counts

110 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1` `distribute-lft-neg-out` `associate-l`
5×	`distribute-rgt-out` `associate-r` `difference-of-squares`
4×	`frac-times` `div-sub` `associate-/l*`
3×	`sub-neg` `unsub-neg` `associate-/r*` `distribute-lft-out--`
2×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-r/` `associate-l/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

11.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
4.0ms	(+ (* 1.0 m) (* (- m) m))
17.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
7.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

series169.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
59.0ms	(+ (* 1.0 m) (* (- m) m))
37.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
50.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	429	1079
1	1971	964
2	5002	949

prune255.0ms

Filtered

113 candidates to 82 candidates (72.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Merged error: 0b

Counts

119 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

135×	`times-frac`
103×	`*-un-lft-identity`
101×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
24×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r` `associate-*l/`
9×	`associate-/r/`
7×	`associate-/l*`
6×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
5×	`flip3-+` `associate-l` `flip-+`
4×	`cbrt-undiv` `distribute-rgt-out` `distribute-rgt-neg-in` `div-exp` `frac-add`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-out`
2×	`distribute-lft-neg-out` `frac-2neg` `div-sub` `unsub-neg` `clear-num` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `neg-mul-1` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 184

Calls

4 calls:

15.0ms	(+ (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) 1.0) (* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m)))
7.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
10.0ms	(/ m (/ v (- 1.0 m)))
44.0ms	(* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) 1.0) (* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m)))
50.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
37.0ms	(/ m (/ v (- 1.0 m)))
42.0ms	(* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m))

simplify129.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	946	2006
1	4810	1893
2	5001	1886

prune600.0ms

Filtered

196 candidates to 152 candidates (77.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	196	5	201

Merged error: 0b

Counts

201 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
0.1b	(/ v (- (* 1.0 1.0) (* m m)))
0.1b	(* (+ (- 1.0) (* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))) (- m))
0.2b	(* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

233×	`times-frac`
154×	`add-sqr-sqrt`
129×	`*-un-lft-identity`
119×	`add-cube-cbrt`
64×	`add-exp-log`
62×	`associate-l`
34×	`add-cbrt-cube`
29×	`div-exp`
28×	`associate-r`
25×	`difference-of-squares`
22×	`associate-/r*`
20×	`associate-/r/`
15×	`prod-exp`
13×	`cbrt-undiv`
11×	`div-inv` `unswap-sqr`
9×	`pow1`
8×	`flip3--` `flip--`
7×	`cbrt-unprod`
6×	`rec-exp` `1-exp` `associate-/l*`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-*l/` `distribute-lft-out`
2×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `*-commutative` `flip-+`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*r/` `distribute-rgt-neg-out` `inv-pow`

Counts

4 → 276

Calls

4 calls:

12.0ms	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
6.0ms	(/ v (- (* 1.0 1.0) (* m m)))
9.0ms	(* (+ (- 1.0) (* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))) (- m))
33.0ms	(* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
66.0ms	(/ v (- (* 1.0 1.0) (* m m)))
96.0ms	(* (+ (- 1.0) (* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))) (- m))
119.0ms	(* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))

simplify57.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1242	3038
1	5002	2742

prune941.0ms

Filtered

288 candidates to 208 candidates (72.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	288	5	293

Merged error: 0b

Counts

293 → 5

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	20
1	41	20
2	46	20
3	52	20
4	74	20
5	103	20
6	147	20
7	157	20
8	201	20
9	227	20
10	246	20
11	253	20
12	255	20
13	257	20
14	257	20

end0.0ms

sample691.0ms

Algorithm

intervals

Results

311.0ms	13470×	body	80	valid
173.0ms	13470×	pre	80	true

Iter	Nodes	Cost
0	37	20
1	41	20
2	46	20
3	52	20
4	74	20
5	103	20
6	147	20
7	157	20
8	201	20
9	227	20
10	246	20
11	253	20
12	255	20
13	257	20
14	257	20

Iter	Nodes	Cost
0	37	20
1	41	20
2	46	20
3	52	20
4	74	20
5	103	20
6	147	20
7	157	20
8	201	20
9	227	20
10	246	20
11	253	20
12	255	20
13	257	20
14	257	20

Iter	Nodes	Cost
0	37	20
1	41	20
2	46	20
3	52	20
4	74	20
5	103	20
6	147	20
7	157	20
8	201	20
9	227	20
10	246	20
11	253	20
12	255	20
13	257	20
14	257	20