Details

sample281.0ms

Algorithm

intervals

Results

11.0ms	435×	body	80	valid
6.0ms	435×	pre	80	true

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`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` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

12.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify95.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 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)))
0.1b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

33.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
12.0ms	(/ m (/ v (- 1.0 m)))
32.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series132.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(/ v (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify83.0ms

Algorithm

egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1224	6304
1	5001	4818

prune818.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (* v (/ 1 (- 1.0 m)))) 1.0)
0.0b	(/ m (* v (/ 1 (- 1.0 m))))
0.1b	(* v (/ 1 (- 1.0 m)))
0.1b	(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- 1.0 m))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
47×	`add-cube-cbrt`
45×	`prod-diff`
32×	`times-frac`
30×	`add-exp-log`
26×	`associate-r`
20×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`fma-neg` `div-exp` `prod-exp`
8×	`pow1` `flip3--` `associate-r/` `associate-l*` `flip--`
6×	`un-div-inv` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`sub-neg` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*`

Counts

4 → 181

Calls

4 calls:

14.0ms	(- (/ m (* v (/ 1 (- 1.0 m)))) 1.0)
9.0ms	(/ m (* v (/ 1 (- 1.0 m))))
11.0ms	(* v (/ 1 (- 1.0 m)))
18.0ms	(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- 1.0 m))

series131.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ m (* v (/ 1 (- 1.0 m)))) 1.0)
35.0ms	(/ m (* v (/ 1 (- 1.0 m))))
33.0ms	(* v (/ 1 (- 1.0 m)))
38.0ms	(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- 1.0 m))

simplify114.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	729	1872
1	3734	1404
2	5002	1399

prune300.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 233

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
27.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
133.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
138.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify64.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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	14	7
1	14	7

end0.0ms

sample734.0ms

Algorithm

intervals

Results

322.0ms	13835×	body	80	valid
183.0ms	13835×	pre	80	true