Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	48	4
2	106	4
3	174	4
4	198	4
5	203	4
6	203	4

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: 14.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.0b

(/ (- x y) (* (* x 2.0) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

7.0ms

(/ (- x y) (* (* x 2.0) y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (- x y) (* (* x 2.0) y))

simplify30.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	237	209
1	976	172
2	5002	171

prune43.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (/ 1 y) (/ 1 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
4×	`div-inv`
3×	`add-cube-cbrt` `add-log-exp`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 29

Calls

1 calls:

12.0ms

(- (/ 1 y) (/ 1 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- (/ 1 y) (/ 1 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	139	209
1	372	199
2	1020	183
3	2636	183
4	5001	183

prune39.0ms

Filtered

20 candidates to 32 candidates (-60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0b

Counts

36 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
6.0b	(* (/ 1 (* x 2.0)) (/ (- x y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`times-frac`
25×	`add-cbrt-cube`
23×	`add-cube-cbrt`
20×	`prod-exp`
19×	`associate-r`
16×	`div-exp`
8×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-l` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1` `rec-exp` `1-exp`
3×	`associate-/r*` `div-inv`
2×	`associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--`

Counts

2 → 98

Calls

2 calls:

5.0ms	(/ (- x y) y)
13.0ms	(* (/ 1 (* x 2.0)) (/ (- x y) y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- x y) y)
7.0ms	(* (/ 1 (* x 2.0)) (/ (- x y) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	471	639
1	2451	541
2	5001	539

prune77.0ms

Filtered

61 candidates to 104 candidates (-70.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
6.0b	(/ (/ (- x y) y) (* x 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

5.0ms	(/ (- x y) y)
8.0ms	(/ (/ (- x y) y) (* x 2.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- x y) y)
7.0ms	(/ (/ (- x y) y) (* x 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	387	627
1	1502	566
2	5001	566

prune72.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	104	2	106

Merged error: 0b

Counts

106 → 2

regimes73.0ms

Accuracy

95.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.5b

bsearch19.0ms

Steps

Iters	Range		Point
6	3.863714889605425e-68	4.093720005761399e-67	3.3972857424681027e-67
7	-2.8816345954488277e-58	-9.820531090237549e-60	-2.851538797783847e-58

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample395.0ms

Algorithm

intervals

Results

203.0ms

8001×

body

valid

Details

sample19.0ms

simplify13.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify30.0ms

prune43.0ms

localize5.0ms

rewrite13.0ms

series3.0ms

simplify61.0ms

prune39.0ms

localize6.0ms

rewrite22.0ms

series11.0ms

simplify62.0ms

prune77.0ms

localize5.0ms

rewrite17.0ms

series11.0ms

simplify43.0ms

prune72.0ms

regimes73.0ms

bsearch19.0ms

simplify1.0ms

end0.0ms

sample395.0ms

Profiling