Details

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 84.698486%

Results

12.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4938	6
10	5002	6

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
16×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`
2×	`associate-+l-` `sub-neg` `associate-+l+` `flip3-+` `associate-*l/` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

9.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series46.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	399	541
1	1444	477
2	5002	456

prune112.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	64	8	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
3.0ms	(cbrt y)

series212.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
107.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
22.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify69.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	692	1155
1	2432	1025
2	5003	966

prune176.0ms

Filtered

87 candidates to 120 candidates (-37.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	120	9	129

Merged error: 0b

Counts

129 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (pow y 1/3)) (+ y 0.5))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+` `log-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`flip3-+` `associate-*r/` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`associate-r` `associate-l` `associate-*l/` `frac-add`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (log (pow y 1/3)) (+ y 0.5))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series231.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (log (pow y 1/3)) (+ y 0.5))
134.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) (+ y 0.5)))
23.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify95.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	666	869
1	3010	752
2	5003	702

prune209.0ms

Filtered

84 candidates to 106 candidates (-26.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	106	9	115

Merged error: 0b

Counts

115 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b	(* (sqrt (+ y 0.5)) (log y))
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
18×	`log-prod` `add-log-exp`
15×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
14×	`sqrt-div` `associate-l`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`flip3-+` `flip-+`
5×	`diff-log` `associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `distribute-lft-out`
2×	`associate-+l-` `sub-neg` `associate-+l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate--l-` `flip3--` `associate--l+` `log-pow` `flip--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

7.0ms	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
5.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
7.0ms	(* (sqrt (+ y 0.5)) (log y))
12.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
10.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
11.0ms	(* (sqrt (+ y 0.5)) (log y))
22.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	767	1286
1	2956	1099
2	5001	1060

prune160.0ms

Filtered

79 candidates to 121 candidates (-53.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	121	9	130

Merged error: 0b

Counts

130 → 9

regimes368.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 84.698486%

Results

372.0ms	7996×	body	80	valid
1.0ms	24×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample2.2s

simplify143.0ms

prune4.0ms

localize9.0ms

rewrite22.0ms

series46.0ms

simplify44.0ms

prune112.0ms

localize15.0ms

rewrite30.0ms

series212.0ms

simplify69.0ms

prune176.0ms

localize22.0ms

rewrite25.0ms

series231.0ms

simplify95.0ms

prune209.0ms

localize11.0ms

rewrite35.0ms

series59.0ms

simplify73.0ms

prune160.0ms

regimes368.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

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