Details

sample65.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results

6.0ms	205×	body	80	valid
2.0ms	21×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	12×	body	320	valid
0.0ms	6×	body	160	valid

simplify59.0ms

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: 21.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
1.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.7b	(/ (* (- 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))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 x) y)
11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

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

prune104.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.2b

Counts

73 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
1.5b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

5.0ms	(/ y (+ y 1.0))
12.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/ y (+ y 1.0))
6.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
11.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	400	572
1	1790	526
2	5001	526

prune113.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Merged error: 0.2b

Counts

102 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ y 1.0))
0.0b	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
0.1b	(* y (/ 1 (+ y 1.0)))
3.0b	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
32×	`add-exp-log` `add-sqr-sqrt`
26×	`times-frac`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`associate-r`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`associate-*r/` `div-exp` `add-log-exp`
4×	`frac-times` `flip3--` `pow-prod-down` `associate-/r*` `associate-/r/` `un-div-inv` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-l/` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 122

Calls

4 calls:

5.0ms	(/ 1 (+ y 1.0))
12.0ms	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
11.0ms	(* y (/ 1 (+ y 1.0)))
3.0ms	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (+ y 1.0))
6.0ms	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
2.0ms	(* y (/ 1 (+ y 1.0)))
11.0ms	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	498	760
1	2231	653
2	5002	608

prune126.0ms

Filtered

78 candidates to 134 candidates (-71.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Merged error: 0.2b

Counts

139 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.7b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite35.0ms

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)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 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))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (30.0ms)

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

prune219.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	107	5	112

Merged error: 0.2b

Counts

112 → 5

regimes330.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 13.8b

bsearch35.0ms

Steps

Iters	Range		Point
8	1527897.0796031668	14240921510.59418	214604167.85840556
10	-16566939879402.627	-2447.78523895172	-174470904.32789057

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

sample625.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results

197.0ms	6170×	body	80	valid
80.0ms	712×	body	640	valid
55.0ms	372×	body	1280	valid
40.0ms	462×	body	320	valid
17.0ms	284×	body	160	valid

Details

sample65.0ms

simplify59.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series21.0ms

simplify41.0ms

prune104.0ms

localize6.0ms

rewrite22.0ms

series19.0ms

simplify50.0ms

prune113.0ms

localize8.0ms

rewrite35.0ms

series22.0ms

simplify64.0ms

prune126.0ms

localize11.0ms

rewrite35.0ms

series29.0ms

simplify41.0ms

prune219.0ms

regimes330.0ms

bsearch35.0ms

simplify1.0ms

end0.0ms

sample625.0ms

Profiling