Details

sample325.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 96.191406%

Results

6.0ms	197×	body	80	valid
3.0ms	26×	body	640	valid
2.0ms	13×	body	1280	valid
1.0ms	14×	body	320	valid
0.0ms	6×	body	160	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	74	5
3	128	5
4	252	5
5	374	5
6	514	5
7	642	5
8	777	5
9	1010	5
10	1686	5
11	5002	5

prune3.0ms

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: 22.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
1.9b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.5b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series25.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (- 1.0 x) y)
14.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	338	401
1	1456	359
2	5001	359

prune99.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Merged error: 0b

Counts

73 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.1b	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
3.9b	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
17.9b	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- 1.0 x) y)
14.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
3.0ms	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
10.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 1.0 x) y)
12.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
40.0ms	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
12.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	567	1027
1	3078	900
2	5001	900

prune138.0ms

Filtered

82 candidates to 117 candidates (-42.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Merged error: 0b

Counts

119 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
14×	`times-frac`
6×	`difference-of-squares`
5×	`div-inv` `distribute-lft-out--`
3×	`add-cube-cbrt` `distribute-rgt-out--` `add-log-exp`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `sub-div`

Counts

1 → 28

Calls

1 calls:

12.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	130	178
1	352	170
2	1334	165
3	5001	154

prune30.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Merged error: 0b

Counts

33 → 2

regimes138.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 24.6b

bsearch48.0ms

Steps

Iters	Range		Point
11	9.474665780315345e-06	2.9874295788263765e+23	104815398.68789476
9	-10781237541396862.0	-21138820.187415384	-100154283.32044342

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	33	14

end0.0ms

sample931.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 96.191406%

Results

211.0ms	6097×	body	80	valid
94.0ms	766×	body	640	valid
55.0ms	364×	body	1280	valid
43.0ms	471×	body	320	valid
19.0ms	302×	body	160	valid

Details

sample325.0ms

simplify66.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series25.0ms

simplify43.0ms

prune99.0ms

localize11.0ms

rewrite36.0ms

series68.0ms

simplify81.0ms

prune138.0ms

localize7.0ms

rewrite14.0ms

series4.0ms

simplify39.0ms

prune30.0ms

regimes138.0ms

bsearch48.0ms

simplify1.0ms

end0.0ms

sample931.0ms

Profiling