Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	65×	body	640	valid
5.0ms	138×	body	80	valid
3.0ms	20×	body	1280	valid
2.0ms	18×	body	320	valid
1.0ms	15×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	880	15
1	880	15

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 9.5b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.3b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-` `associate-+l+`

Counts

4 → 112

Calls

4 calls:

16.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
32.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0ms	(/ 1.0 (+ x 1.0))
2.0ms	(/ 1.0 (- x 1.0))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4954	1594
1	4954	1594

prune206.0ms

Filtered

95 candidates to 124 candidates (-30.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	3	125

Merged error: 0.0b

Counts

125 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
0.1b	(* x (- (* x x) (* 1.0 1.0)))
15.3b	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-*r/`
16×	`frac-add`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `flip3-+` `flip-+`
8×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
5×	`sub-neg`
4×	`associate-+r+` `associate-*l/`
2×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `diff-log` `sum-log` `distribute-lft-out` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* x (+ 1.0 x))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))
14.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

series16.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ 1.0 x))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
7.0ms	(* x (- (* x x) (* 1.0 1.0)))
1.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5336	2335

prune218.0ms

Filtered

81 candidates to 102 candidates (-25.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
6.0ms	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
4.0ms	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))
9.0ms	(* x (- (* x x) (* 1.0 1.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5249	720

prune102.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 2.0 (- (pow x 3) (* x 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`cube-mult` `associate-/r*` `distribute-lft-out--`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/ 2.0 (- (pow x 3) (* x 1.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ 2.0 (- (pow x 3) (* x 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5376	496

prune66.0ms

Filtered

30 candidates to 36 candidates (-20.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

regimes34.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	9
1	35	9

end0.0ms

sample713.0ms

Algorithm

intervals

Results

251.0ms	1884×	body	640	valid
148.0ms	4199×	body	80	valid
99.0ms	580×	body	1280	valid
95.0ms	903×	body	320	valid
29.0ms	434×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze6.0ms

sample25.0ms

simplify54.0ms

prune5.0ms

localize9.0ms

rewrite63.0ms

series18.0ms

simplify47.0ms

prune206.0ms

localize16.0ms

rewrite33.0ms

series16.0ms

simplify40.0ms

prune218.0ms

localize6.0ms

rewrite18.0ms

series17.0ms

simplify36.0ms

prune102.0ms

localize6.0ms

rewrite8.0ms

series5.0ms

simplify39.0ms

prune66.0ms

regimes34.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample713.0ms

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