Details

sample335.0ms

Algorithm

intervals

Results

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

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

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

localize10.0ms

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)

rewrite184.0ms

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:

22.0ms	(* m (- 1.0 m))
28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
101.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)

series155.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
46.0ms	(/ (* m (- 1.0 m)) v)

simplify91.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5001	1196

prune254.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
103×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
83×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`difference-of-squares`
6×	`fma-neg` `associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`sub-neg` `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 → 249

Calls

4 calls:

13.0ms	(- (sqrt 1.0) (sqrt m))
20.0ms	(/ (* m (- 1.0 m)) v)
105.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
157.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (sqrt 1.0) (sqrt m))
36.0ms	(/ (* m (- 1.0 m)) v)
132.0ms	(* (- (/ (* 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)))

simplify61.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1169	5279
1	5001	4180

prune553.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`prod-diff`
35×	`*-un-lft-identity`
31×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`sub-neg` `associate-*r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 102

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
22.0ms	(* (fma (* m (- 1.0 m)) (/ 1 v) (- 1.0)) (- 1.0 m))
0.0ms	(fma (* m (- 1.0 m)) (/ 1 v) (- 1.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
45.0ms	(* (fma (* m (- 1.0 m)) (/ 1 v) (- 1.0)) (- 1.0 m))
40.0ms	(fma (* m (- 1.0 m)) (/ 1 v) (- 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	326	1190
1	1433	898
2	5001	890

prune160.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 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))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
52×	`add-cube-cbrt`
44×	`times-frac`
36×	`prod-diff`
34×	`add-exp-log`
22×	`distribute-rgt-in` `distribute-lft-in` `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×	`expm1-log1p-u` `frac-times` `sub-neg` `cbrt-unprod` `log1p-expm1-u` `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 → 194

Calls

4 calls:

22.0ms	(* m (- 1.0 m))
12.0ms	(/ v (* m (- 1.0 m)))
204.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
25.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
39.0ms	(/ v (* m (- 1.0 m)))
49.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
45.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify100.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	716	1895
1	3701	1471
2	5001	1464

prune286.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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	17	12
1	17	12

end0.0ms

sample738.0ms

Algorithm

intervals

Results

307.0ms	13650×	body	80	valid
154.0ms	13650×	pre	80	true