Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	61×	body	640	valid
4.0ms	132×	body	80	valid
4.0ms	47×	body	320	valid
1.0ms	16×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 15.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite43.0ms

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

series254.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1.0 (- x 1.0))
28.0ms	(/ 1.0 (+ x 1.0))
191.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (36.0ms)

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

prune192.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	2	112

Merged error: 1.0b

Counts

112 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.9b	(- (- x 1.0) (+ x 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `sub-neg` `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

2 → 61

Calls

2 calls:

6.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	388	479
1	1916	448
2	5001	446

prune124.0ms

Filtered

67 candidates to 49 candidates (73.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 1.0b

Counts

69 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

12.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
6.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
57.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	438	659
1	2023	600
2	5001	598

prune173.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

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))

rewrite56.0ms

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))
19.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series106.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- 2.0) (+ x 1.0))
79.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify131.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 1 (26.0ms)

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

prune574.0ms

Filtered

376 candidates to 231 candidates (61.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	376	5	381

Merged error: 0b

Counts

381 → 5

regimes22.0ms

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

sample557.0ms

Algorithm

intervals

Results

207.0ms	1926×	body	640	valid
119.0ms	4223×	body	80	valid
100.0ms	1235×	body	320	valid
37.0ms	616×	body	160	valid