Details

sample287.0ms

Algorithm

intervals

Results

11.0ms	453×	body	80	valid
6.0ms	453×	pre	80	true

simplify125.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
10.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series107.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	375	800
1	1620	607
2	5002	589

prune175.0ms

Pruning

6 alts after pruning (6 fresh and 0 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)

rewrite328.0ms

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:

85.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
196.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series138.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(/ v (- 1.0 m))
36.0ms	(/ m (/ v (- 1.0 m)))
42.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify151.0ms

Algorithm

egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 1 (23.0ms)

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

prune799.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1 v) (* m (- 1.0 m))) 1.0)
0.2b	(* (- (* (/ 1 v) (* m (- 1.0 m))) 1.0) m)
0.3b	(* (/ 1 v) (* m (- 1.0 m)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

88×	`distribute-rgt-in` `distribute-lft-in`
75×	`prod-diff`
63×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate--l+`
27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-l`
13×	`prod-exp`
10×	`pow1`
9×	`sub-neg` `times-frac`
7×	`cbrt-unprod`
6×	`associate-*r/`
5×	`add-log-exp`
4×	`flip3--` `div-exp` `associate-r` `pow-prod-down` `flip--`
3×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative`
1×	`fma-neg` `diff-log` `div-inv` `unswap-sqr`

Counts

3 → 171

Calls

3 calls:

26.0ms	(- (* (/ 1 v) (* m (- 1.0 m))) 1.0)
60.0ms	(* (- (* (/ 1 v) (* m (- 1.0 m))) 1.0) m)
24.0ms	(* (/ 1 v) (* m (- 1.0 m)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (* (/ 1 v) (* m (- 1.0 m))) 1.0)
51.0ms	(* (- (* (/ 1 v) (* m (- 1.0 m))) 1.0) m)
48.0ms	(* (/ 1 v) (* m (- 1.0 m)))

simplify95.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	823	1647
1	3259	1014
2	5001	996

prune340.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.0b	(/ (/ v (- 1.0 m)) m)
0.2b	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
0.3b	(/ 1 (/ (/ v (- 1.0 m)) m))

rewrite584.0ms

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
467×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
338×	`add-cube-cbrt`
75×	`associate-/r*`
59×	`difference-of-squares`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
12×	`associate-l`
10×	`cbrt-undiv`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 472

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
12.0ms	(/ (/ v (- 1.0 m)) m)
511.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
21.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series171.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ v (- 1.0 m))
39.0ms	(/ (/ v (- 1.0 m)) m)
52.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
43.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify74.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1612	4818
1	5002	3970

prune747.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b 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	9	5
1	9	5

end0.0ms

sample686.0ms

Algorithm

intervals

Results

307.0ms	13753×	body	80	valid
172.0ms	13753×	pre	80	true