Details

sample306.0ms

Algorithm

intervals

Results

25.0ms	435×	body	80	valid
14.0ms	435×	pre	80	overflowed

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

rewrite109.0ms

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))
15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)

series155.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)

simplify93.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5001	1196

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
457×	`add-sqr-sqrt`
441×	`*-un-lft-identity`
339×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
55×	`difference-of-squares`
51×	`distribute-lft-out--`
37×	`associate-/r/`
23×	`flip3--` `flip--`
21×	`associate-/r*` `div-inv`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `associate-r` `add-log-exp`
4×	`frac-times`
3×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `log1p-expm1-u` `associate-/l*`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 450

Calls

3 calls:

82.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
197.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
42.0ms	(/ m (/ v (- 1.0 m)))

simplify82.0ms

Algorithm

egg-herbie

Counts

459 → 459

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1164	6084
1	5000	4416

prune709.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`prod-diff`
54×	`*-un-lft-identity`
50×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate--l+`
16×	`associate-l`
10×	`add-exp-log` `times-frac` `associate-r` `add-cbrt-cube`
9×	`flip3--` `flip--`
7×	`pow1` `sub-neg`
6×	`frac-times`
5×	`add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `fma-neg` `diff-log` `div-exp` `div-inv`

Counts

3 → 154

Calls

3 calls:

11.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
34.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
19.0ms	(* (/ m v) (- 1.0 m))

series97.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify88.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	627	1549
1	2862	1151
2	5002	1151

prune274.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

111×	`prod-diff`
105×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
88×	`add-cube-cbrt`
80×	`sqrt-prod`
61×	`distribute-rgt-in` `distribute-lft-in`
34×	`frac-times`
24×	`flip3--` `flip--`
22×	`associate--l+`
19×	`associate-r`
17×	`associate-l` `associate-*l/`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`flip3-+` `associate-*r/` `flip-+`
10×	`times-frac`
7×	`sub-neg`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`pow-prod-down` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `fma-neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 262

Calls

4 calls:

11.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
18.0ms	(* (/ m v) (- 1.0 m))
42.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m)))
78.0ms	(* (* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
38.0ms	(* (/ m v) (- 1.0 m))
131.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m)))
134.0ms	(* (* (- (* (/ m v) (- 1.0 m)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify71.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1358	5130
1	5002	4391

prune586.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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	10	6
1	10	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

565.0ms	13804×	body	80	valid
312.0ms	13804×	pre	80	overflowed