Details

sample33.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results

6.0ms	201×	body	80	valid
2.0ms	20×	body	640	valid
2.0ms	15×	body	1280	valid
1.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid

simplify62.0ms

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

prune6.0ms

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: 22.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.6b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.2b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	287	314
1	1151	281
2	5001	280

prune85.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	6	48

Merged error: 0.1b

Counts

48 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1.0 x) (/ (+ y 1.0) y))
2.6b	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
139×	`*-un-lft-identity`
110×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`distribute-lft-out` `distribute-lft-out--`
16×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `associate--r-`

Counts

2 → 136

Calls

2 calls:

10.0ms	(/ (- 1.0 x) (/ (+ y 1.0) y))
24.0ms	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- 1.0 x) (/ (+ y 1.0) y))
14.0ms	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	658	1349
1	2476	1305
2	5003	1305

prune173.0ms

Filtered

92 candidates to 142 candidates (-54.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	142	6	148

Merged error: 0.1b

Counts

148 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

2.6b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.2b	(/ (* (- 1.0 x) y) (+ y 1.0))
9.2b	(/ (* (- 1.0 x) y) (+ y 1.0))
9.2b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
11.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series29.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	287	648
1	1151	575
2	5001	574

prune227.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.1b

Counts

113 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
5.0b	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
18.5b	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

13.0ms	(* (/ (* (- 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)))
11.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
37.0ms	(- 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)))

simplify73.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	517	940
1	2749	822
2	5001	822

prune109.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	94	4	98

Merged error: 0.1b

Counts

98 → 4

regimes243.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 14.3b

bsearch37.0ms

Steps

Iters	Range		Point
9	5055205.202917329	2705890547756.2334	21266150.003705725
9	-5.989376410802681e+36	-8.444193260190215e+28	-8.645827923873514e+28

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	22
1	42	22
2	45	22
3	51	22
4	51	22

end0.0ms

sample593.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results

183.0ms	6115×	body	80	valid
81.0ms	725×	body	640	valid
54.0ms	395×	body	1280	valid
43.0ms	495×	body	320	valid
20.0ms	270×	body	160	valid

Details

sample33.0ms

simplify62.0ms

prune6.0ms

localize7.0ms

rewrite16.0ms

series18.0ms

simplify35.0ms

prune85.0ms

localize6.0ms

rewrite41.0ms

series20.0ms

simplify66.0ms

prune173.0ms

localize10.0ms

rewrite37.0ms

series29.0ms

simplify39.0ms

prune227.0ms

localize10.0ms

rewrite29.0ms

series61.0ms

simplify73.0ms

prune109.0ms

regimes243.0ms

bsearch37.0ms

simplify3.0ms

end0.0ms

sample593.0ms

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