Details

sample291.0ms

Algorithm

intervals

Results

10.0ms	410×	body	80	valid
6.0ms	410×	pre	80	true

simplify87.0ms

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

rewrite110.0ms

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)
10.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series159.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify97.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5001	1196

prune281.0ms

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)))

rewrite332.0ms

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:

85.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
203.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
44.0ms	(/ m (/ v (- 1.0 m)))

simplify87.0ms

Algorithm

egg-herbie

Counts

459 → 459

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1164	6084
1	5000	4416

prune776.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

8.0ms	(/ (- 1.0 m) v)
14.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series107.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
44.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
30.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	378	1039
1	1530	824
2	5003	822

prune212.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m)))
0.1b	(/ m (/ v (- 1.0 m)))
0.7b	(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

565×	`times-frac`
446×	`add-sqr-sqrt`
434×	`*-un-lft-identity`
330×	`add-cube-cbrt`
206×	`prod-diff`
68×	`fma-neg`
55×	`difference-of-squares`
50×	`distribute-lft-out--`
39×	`associate-/r/`
29×	`flip3--` `flip--`
25×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`associate-l`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-r` `associate-l/` `log1p-expm1-u` `associate-/l*`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out`
1×	`flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 468

Calls

4 calls:

83.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
199.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m)))
11.0ms	(/ m (/ v (- 1.0 m)))
137.0ms	(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series163.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m)))
40.0ms	(/ m (/ v (- 1.0 m)))
58.0ms	(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify87.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1348	6320
1	5002	5102

prune997.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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	9	6
1	9	6

end0.0ms

sample724.0ms

Algorithm

intervals

Results

315.0ms	13816×	body	80	valid
186.0ms	13816×	pre	80	true