Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	65×	body	640	valid
4.0ms	132×	body	80	valid
3.0ms	37×	body	320	valid
1.0ms	22×	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

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: 15.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
3.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

6.0ms	(/ 1.0 (- x 1.0))
27.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ 1.0 (- x 1.0))
8.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify194.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	314	506
1	1068	483
2	4996	478
3	5002	478

prune110.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Merged error: 0.1b

Counts

76 → 2

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

rewrite29.0ms

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:

17.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

series5.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.0ms	(- (- x 1.0) (+ x 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (51.0ms)

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

prune86.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0.1b

Counts

67 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (* 1.0 (neg 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 (neg 2.0)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (28.0ms)

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

prune44.0ms

Filtered

23 candidates to 29 candidates (-26.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
58×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
14×	`associate-/r/`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
7×	`div-inv`
6×	`flip3-+` `flip-+` `distribute-lft-out`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`distribute-frac-neg`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`

Counts

1 → 85

Calls

1 calls:

12.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	526	942
1	2839	887
2	5002	887

prune112.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

regimes30.0ms

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

sample566.0ms

Algorithm

intervals

Results

191.0ms	1823×	body	640	valid
118.0ms	4290×	body	80	valid
97.0ms	1257×	body	320	valid
35.0ms	630×	body	160	valid

Details

sample21.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite37.0ms

series10.0ms

simplify194.0ms

prune110.0ms

localize9.0ms

rewrite29.0ms

series5.0ms

simplify58.0ms

prune86.0ms

localize9.0ms

rewrite8.0ms

series4.0ms

simplify33.0ms

prune44.0ms

localize7.0ms

rewrite16.0ms

series5.0ms

simplify70.0ms

prune112.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample566.0ms

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