Details

sample280.0ms

Algorithm

intervals

Results

12.0ms	461×	body	80	valid
7.0ms	461×	pre	80	true

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
18.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series154.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune174.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
10×	`associate-l` `add-cbrt-cube`
8×	`pow1` `associate-r`
7×	`difference-of-squares`
6×	`add-log-exp` `sqr-pow`
5×	`associate-/l*`
4×	`unpow-prod-down` `div-exp`
3×	`sub-neg` `flip3--` `prod-exp` `associate-/r*` `flip--` `distribute-lft-out--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

4 → 104

Calls

4 calls:

15.0ms	(- (/ (pow (* m (- 1.0 m)) 1) v) 1.0)
10.0ms	(* m (- 1.0 m))
4.0ms	(/ (pow (* m (- 1.0 m)) 1) v)
53.0ms	(* (- (/ (pow (* m (- 1.0 m)) 1) v) 1.0) m)

series142.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (pow (* m (- 1.0 m)) 1) v) 1.0)
45.0ms	(* m (- 1.0 m))
36.0ms	(/ (pow (* m (- 1.0 m)) 1) v)
38.0ms	(* (- (/ (pow (* m (- 1.0 m)) 1) v) 1.0) m)

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	356	775
1	1716	706
2	5001	695

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0)
0.1b	(/ (/ v m) (- 1.0 m))
0.1b	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
0.3b	(/ 1 (/ (/ v m) (- 1.0 m)))

rewrite801.0ms

Algorithm

rewrite-expression-head

Rules

796×	`times-frac`
510×	`add-sqr-sqrt`
474×	`*-un-lft-identity`
330×	`add-cube-cbrt`
80×	`difference-of-squares`
76×	`associate-/r*`
70×	`distribute-lft-out--`
34×	`div-inv`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
12×	`associate-l`
11×	`associate-/r/`
9×	`cbrt-undiv`
7×	`pow1` `flip3--` `flip--`
6×	`add-log-exp`
3×	`rec-exp` `1-exp` `associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 462

Calls

4 calls:

182.0ms	(- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0)
9.0ms	(/ (/ v m) (- 1.0 m))
551.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
21.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0)
39.0ms	(/ (/ v m) (- 1.0 m))
51.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
45.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

simplify74.0ms

Algorithm

egg-herbie

Counts

474 → 474

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1544	4943
1	5002	4069

prune669.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.3b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
17×	`-un-lft-identity` `associate-r*`
13×	`pow1` `add-cube-cbrt`
9×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

10.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
46.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series201.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
73.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
47.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	436	720
1	2105	615
2	5002	605

prune186.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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	14	6
1	14	6

end0.0ms

sample757.0ms

Algorithm

intervals

Results

339.0ms	13714×	body	80	valid
182.0ms	13714×	pre	80	true