Details

sample287.0ms

Algorithm

intervals

Results

11.0ms	420×	body	80	valid
6.0ms	420×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

9.0ms	(* m (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series131.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune168.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

12.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(/ (* m (- 1.0 m)) v)
34.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series157.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
39.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	359	602
1	1758	542
2	5001	530

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
62×	`add-cube-cbrt`
21×	`associate-/r*`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`flip3--` `flip--`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`pow1` `frac-times`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 138

Calls

2 calls:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ m (/ v (- 1.0 m)))
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify81.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	629	1255
1	3145	1210
2	5001	1208

prune315.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
11.2b	(/ (pow m 3) v)
13.5b	(/ (pow m 2) v)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

6.0ms	(/ (* m (- 1.0 m)) v)
120.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series114.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
21.0ms	(/ (pow m 3) v)
19.0ms	(/ (pow m 2) v)

simplify98.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	573	913
1	2983	834
2	5001	807

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b 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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample722.0ms

Algorithm

intervals

Results

323.0ms	13757×	body	80	valid
178.0ms	13757×	pre	80	true