Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	72×	body	640	valid
3.0ms	134×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	13×	body	160	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	497	9
1	497	9

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: 14.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 24

Calls

1 calls:

17.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify37.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4937	382
1	4937	382

prune39.0ms

Filtered

22 candidates to 27 candidates (-22.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Merged error: 0.5b

Counts

28 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (* 1.0 (neg 1.0)) (* x (+ 1.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify22.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5451	311

prune33.0ms

Filtered

18 candidates to 27 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

9.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4969	366
1	4969	366

prune35.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

53×	`times-frac`
51×	`*-un-lft-identity`
46×	`associate-r`
43×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
13×	`add-exp-log` `associate-l` `add-cbrt-cube`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`distribute-lft-out`
4×	`cbrt-undiv` `neg-mul-1` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`associate-/r/` `div-inv`
1×	`frac-times` `flip3-+` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `*-commutative` `distribute-rgt-neg-out` `flip-+` `add-log-exp`

Counts

1 → 84

Calls

1 calls:

22.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4971	986
1	4971	986

prune98.0ms

Filtered

58 candidates to 87 candidates (-50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes36.0ms

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	40	10
1	40	10

end0.0ms

sample485.0ms

Algorithm

intervals

Results

177.0ms	1983×	body	640	valid
105.0ms	4187×	body	80	valid
84.0ms	1228×	body	320	valid
29.0ms	602×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample18.0ms

simplify31.0ms

prune4.0ms

localize5.0ms

rewrite18.0ms

series4.0ms

simplify37.0ms

prune39.0ms

localize6.0ms

rewrite9.0ms

series3.0ms

simplify22.0ms

prune33.0ms

localize6.0ms

rewrite10.0ms

series3.0ms

simplify46.0ms

prune35.0ms

localize6.0ms

rewrite28.0ms

series3.0ms

simplify52.0ms

prune98.0ms

regimes36.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample485.0ms

Profiling