Details

sample334.0ms

Algorithm

intervals

Results

11.0ms	468×	body	80	valid
6.0ms	468×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

19.0ms	(* m (- 1.0 m))
21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
84.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)

series145.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune200.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

10.0ms	(- (sqrt 1.0) (sqrt m))
16.0ms	(/ (* m (- 1.0 m)) v)
92.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
136.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (sqrt 1.0) (sqrt m))
34.0ms	(/ (* m (- 1.0 m)) v)
124.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
129.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify38.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	850	1796
1	5001	1577

prune376.0ms

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
43×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
14×	`associate-*r/` `div-exp`
12×	`flip3--` `flip--`
11×	`associate-l` `associate-/r/`
10×	`associate-r` `associate-/r*`
9×	`pow1`
7×	`cbrt-undiv` `div-inv`
6×	`prod-exp` `associate-/l*`
5×	`difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
203.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
24.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
37.0ms	(/ v (* m (- 1.0 m)))
43.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
42.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify79.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	602	1176
1	3072	1014
2	5002	1001

prune254.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ 1 (* m (- 1.0 m)))
0.0b	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (- 1.0 m))
0.4b	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

257×	`times-frac`
128×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
108×	`add-cube-cbrt`
102×	`add-exp-log`
62×	`div-exp`
34×	`associate-*r/` `add-cbrt-cube`
31×	`associate-/r/`
26×	`div-inv`
22×	`flip3--` `flip--`
17×	`rec-exp` `1-exp` `prod-exp`
16×	`associate-/l*`
15×	`cbrt-undiv`
11×	`pow1` `associate-l`
10×	`associate-r` `associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-unprod`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `add-log-exp`
3×	`pow-prod-down` `distribute-lft-out--`
2×	`pow-flip` `frac-2neg` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-/l/` `inv-pow`

Counts

4 → 278

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
18.0ms	(/ 1 (* m (- 1.0 m)))
380.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (- 1.0 m))
32.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
30.0ms	(/ 1 (* m (- 1.0 m)))
39.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1.0 m)))) 1.0) (- 1.0 m))
45.0ms	(/ (/ 1 v) (/ 1 (* m (- 1.0 m))))

simplify54.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1264	2709
1	5001	2345

prune413.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample748.0ms

Algorithm

intervals

Results

294.0ms	13650×	body	80	valid
161.0ms	13650×	pre	80	true