Details

sample280.0ms

Algorithm

intervals

Results

10.0ms	417×	body	80	valid
6.0ms	417×	pre	80	true

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

17.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
12.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
59.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series152.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify75.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune232.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b	(/ v (- 1.0 m))
0.0b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
462×	`add-sqr-sqrt`
446×	`*-un-lft-identity`
338×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
58×	`difference-of-squares`
54×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
22×	`div-inv`
19×	`flip3--` `flip--`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 459

Calls

4 calls:

90.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
6.0ms	(/ v (- 1.0 m))
10.0ms	(/ m (/ v (- 1.0 m)))
208.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series133.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
33.0ms	(/ v (- 1.0 m))
41.0ms	(/ m (/ v (- 1.0 m)))
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify148.0ms

Algorithm

egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1090	5740
1	4464	4299
2	5001	4299

prune790.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.2b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
14.2b	(/ (pow m 2) v)

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
70×	`*-un-lft-identity`
68×	`prod-diff`
67×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
30×	`unpow-prod-down` `associate--l+`
15×	`unpow2`
11×	`add-exp-log` `add-log-exp`
10×	`sqr-pow`
8×	`add-cbrt-cube` `associate-/l*`
6×	`pow1`
5×	`distribute-rgt-out--` `fma-neg` `associate-l`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `div-exp` `associate-r` `associate-/r*` `flip--` `div-inv`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

4 → 185

Calls

4 calls:

110.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
13.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
243.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
5.0ms	(/ (pow m 2) v)

series111.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
32.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
38.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
19.0ms	(/ (pow m 2) v)

simplify112.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	905	2270
1	3585	1588
2	5002	1580

prune435.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ (sqrt m) v) (sqrt m)) (- 1.0 m))
0.2b	(* (+ (- (* (* (/ (sqrt m) v) (sqrt m)) (- 1.0 m)) 1.0) (fma (- 1.0) 1 1.0)) m)
0.2b	(/ (sqrt m) v)
0.4b	(* (/ (sqrt m) v) (sqrt m))

rewrite512.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
49×	`add-cube-cbrt`
40×	`times-frac`
29×	`sqrt-prod`
27×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
14×	`associate-r`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-*l/` `unswap-sqr`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `flip--` `div-inv`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 165

Calls

4 calls:

31.0ms	(* (* (/ (sqrt m) v) (sqrt m)) (- 1.0 m))
457.0ms	(* (+ (- (* (* (/ (sqrt m) v) (sqrt m)) (- 1.0 m)) 1.0) (fma (- 1.0) 1 1.0)) m)
3.0ms	(/ (sqrt m) v)
15.0ms	(* (/ (sqrt m) v) (sqrt m))

series233.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* (/ (sqrt m) v) (sqrt m)) (- 1.0 m))
75.0ms	(* (+ (- (* (* (/ (sqrt m) v) (sqrt m)) (- 1.0 m)) 1.0) (fma (- 1.0) 1 1.0)) m)
65.0ms	(/ (sqrt m) v)
33.0ms	(* (/ (sqrt m) v) (sqrt m))

simplify90.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	719	1576
1	3671	1085
2	5001	1067

prune374.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

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	13	7
1	13	7

end0.0ms

sample709.0ms

Algorithm

intervals

Results

308.0ms	13705×	body	80	valid
180.0ms	13705×	pre	80	true