Details

sample544.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.852051%

Guaranteed chance to sample good point: 89.209914%

Results

7.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) (* y x))
0.0b	(+ (+ (/ x 2.0) (* y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (* y x))
8.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (/ x 2.0) (* y x))
6.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune43.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(* x (+ y 0.5))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(+ (* x (+ y 0.5)) z)
6.0ms	(* x (+ y 0.5))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x (+ y 0.5)) z)
5.0ms	(* x (+ y 0.5))

simplify89.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	195	166
1	755	151
2	3673	149
3	5002	149

prune48.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ y 0.5))
0.0b	(+ (* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) z)
0.3b	(* x (sqrt (+ y 0.5)))
0.3b	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
11.0ms	(+ (* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) z)
6.0ms	(* x (sqrt (+ y 0.5)))
11.0ms	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
6.0ms	(+ (* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5))) z)
8.0ms	(* x (sqrt (+ y 0.5)))
5.0ms	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

simplify51.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	455	658
1	1874	576
2	5002	553

prune128.0ms

Filtered

61 candidates to 94 candidates (-54.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

98 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ y 0.5))
0.0b	(+ (cbrt (pow (* x (+ y 0.5)) 3)) z)
0.1b	(pow (* x (+ y 0.5)) 3)
39.1b	(cbrt (pow (* x (+ y 0.5)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

6.0ms	(* x (+ y 0.5))
7.0ms	(+ (cbrt (pow (* x (+ y 0.5)) 3)) z)
6.0ms	(pow (* x (+ y 0.5)) 3)
2.0ms	(cbrt (pow (* x (+ y 0.5)) 3))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (+ y 0.5))
10.0ms	(+ (cbrt (pow (* x (+ y 0.5)) 3)) z)
7.0ms	(pow (* x (+ y 0.5)) 3)
7.0ms	(cbrt (pow (* x (+ y 0.5)) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	346	428
1	1602	384
2	5001	380

prune104.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes231.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.852051%

Guaranteed chance to sample good point: 89.209914%

Results

238.0ms	7999×	body	80	valid
5.0ms	170×	body	80	invalid
0.0ms	1×	body	320	valid

Details

sample544.0ms

simplify5.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify50.0ms

prune43.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify89.0ms

prune48.0ms

localize9.0ms

rewrite33.0ms

series23.0ms

simplify51.0ms

prune128.0ms

localize9.0ms

rewrite23.0ms

series29.0ms

simplify52.0ms

prune104.0ms

regimes231.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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