Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	60×	body	640	valid
3.0ms	135×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	21×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
51.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (- x 1.0))
28.0ms	(/ 1.0 (+ x 1.0))
170.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	387	679
1	1331	648
2	5001	644

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.5b	(- (- x 1.0) (+ x 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-log-exp`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `times-frac`
7×	`diff-log`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
4×	`associate-/r*` `frac-sub`
3×	`pow1` `sub-neg` `associate-/l*`
2×	`flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

3 → 74

Calls

3 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
26.0ms	(- (- x 1.0) (+ x 1.0))

series97.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x x) (* 1.0 1.0))
47.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	413	559
1	2021	517
2	5002	515

prune161.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
20.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x x) (* 1.0 1.0))
51.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	450	739
1	2059	671
2	5001	669

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0) (+ x 1.0))
0.1b	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
449×	`*-un-lft-identity`
307×	`add-sqr-sqrt`
213×	`add-cube-cbrt`
87×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
71×	`distribute-lft-out`
56×	`associate-/l*`
47×	`distribute-lft-out--` `difference-of-squares`
29×	`neg-mul-1`
16×	`associate-/r/`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 370

Calls

2 calls:

7.0ms	(/ (- 2.0) (+ x 1.0))
28.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (- 2.0) (+ x 1.0))
71.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify147.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1105	3941
1	4733	3857
2	5001	3857

prune579.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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	13	6
1	15	6
2	19	6
3	22	6
4	22	6

end0.0ms

sample440.0ms

Algorithm

intervals

Results

158.0ms	1951×	body	640	valid
88.0ms	4102×	body	80	valid
79.0ms	1307×	body	320	valid
29.0ms	640×	body	160	valid