Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	63×	body	640	valid
3.0ms	139×	body	80	valid
2.0ms	39×	body	320	valid
1.0ms	15×	body	160	valid

simplify6.0ms

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: 14.1b

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

rewrite41.0ms

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))
8.0ms	(/ 1.0 (+ x 1.0))
23.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ 1.0 (+ x 1.0))
176.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

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

prune175.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Merged error: 0.5b

Counts

112 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

16.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	446	580
1	2623	513
2	5001	510

prune110.0ms

Filtered

65 candidates to 46 candidates (70.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0.5b

Counts

68 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

7.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	242	257
1	1216	215
2	5001	211

prune57.0ms

Filtered

29 candidates to 23 candidates (79.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

7.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
16.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
75.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	571	1119
1	3006	1036
2	5001	1036

prune379.0ms

Filtered

117 candidates to 83 candidates (70.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	116	5	121

Merged error: 0.0b

Counts

121 → 5

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	19	6
2	22	6
3	22	6

end0.0ms

sample450.0ms

Algorithm

intervals

Results

166.0ms	1953×	body	640	valid
95.0ms	4203×	body	80	valid
76.0ms	1254×	body	320	valid
24.0ms	590×	body	160	valid