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

sample26.0ms

Algorithm

intervals

Results

8.0ms	58×	body	640	valid
5.0ms	130×	body	80	valid
4.0ms	21×	body	1280	valid
3.0ms	27×	body	320	valid
1.0ms	20×	body	160	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	880	15
1	880	15

prune4.0ms

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: 8.2b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
1.9b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite60.0ms

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:

5.0ms	(/ 1.0 (- x 1.0))
15.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms	(/ 1.0 (+ x 1.0))
31.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0ms	(/ 1.0 (+ x 1.0))
9.0ms	(+ (- (/ 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 (33.0ms)

Iter	Nodes	Cost
0	4954	1594
1	4954	1594

prune206.0ms

Filtered

95 candidates to 124 candidates (-30.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0)))
0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
0.0b	(* x (- (* x x) (* 1.0 1.0)))
17.5b	(+ (* (- 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/`
20×	`flip3--` `flip--`
16×	`frac-add`
14×	`add-sqr-sqrt`
12×	`frac-times`
10×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r`
6×	`associate-*l/`
4×	`associate-+r+`
2×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `diff-log` `sum-log` `distribute-lft-out--`

Counts

4 → 97

Calls

4 calls:

8.0ms	(* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0)))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))
11.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0)))
3.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* 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))))

simplify42.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5300	2792

prune261.0ms

Filtered

88 candidates to 109 candidates (-23.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Merged error: 0.0b

Counts

114 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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

series15.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
7.0ms	(* x (- (* x x) (* 1.0 1.0)))
5.0ms	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5249	720

prune103.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
51×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`difference-of-squares`
13×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
4×	`associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/l/`

Counts

2 → 98

Calls

2 calls:

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

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	1858
1	4991	1858

prune160.0ms

Filtered

89 candidates to 104 candidates (-16.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0b

Counts

110 → 5

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample751.0ms

Algorithm

intervals

Results

264.0ms	1836×	body	640	valid
152.0ms	4163×	body	80	valid
101.0ms	926×	body	320	valid
99.0ms	570×	body	1280	valid
38.0ms	505×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze6.0ms

sample26.0ms

simplify55.0ms

prune4.0ms

localize8.0ms

rewrite60.0ms

series17.0ms

simplify47.0ms

prune206.0ms

localize19.0ms

rewrite33.0ms

series14.0ms

simplify42.0ms

prune261.0ms

localize6.0ms

rewrite17.0ms

series15.0ms

simplify38.0ms

prune103.0ms

localize6.0ms

rewrite17.0ms

series8.0ms

simplify48.0ms

prune160.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample751.0ms

Profiling