Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.910889%

Guaranteed chance to sample good point: 58.704541%

Results

11.0ms	256×	body	80	valid
3.0ms	72×	body	80	invalid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- d2 d3) (- d4 d1))
0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

9.0ms	(+ (- d2 d3) (- d4 d1))
12.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (- d2 d3) (- d4 d1))
12.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	391	410
1	1841	378
2	5002	378

prune62.0ms

Filtered

42 candidates to 64 candidates (-52.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
5.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
4.0ms	(- (* d1 d2) (* d1 d3))

series31.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
10.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
7.0ms	(- (* d1 d2) (* d1 d3))

simplify38.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	256	378
1	1060	326
2	5001	293

prune55.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* d1 d2) (* d1 d3))
0.3b	(* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3))))
3.9b	(sqrt (- (* d1 d2) (* d1 d3)))
3.9b	(sqrt (- (* d1 d2) (* d1 d3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `swap-sqr` `flip--`
7×	`associate-r` `associate-l` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

3.0ms	(- (* d1 d2) (* d1 d3))
12.0ms	(* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3))))
4.0ms	(sqrt (- (* d1 d2) (* d1 d3)))
4.0ms	(sqrt (- (* d1 d2) (* d1 d3)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* d1 d2) (* d1 d3))
8.0ms	(* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3))))
17.0ms	(sqrt (- (* d1 d2) (* d1 d3)))
18.0ms	(sqrt (- (* d1 d2) (* d1 d3)))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	237	769
1	1028	696
2	5001	678

prune89.0ms

Filtered

72 candidates to 117 candidates (-62.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes250.0ms

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	10	4
1	10	4

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.910889%

Guaranteed chance to sample good point: 58.704541%

Results

348.0ms	8000×	body	80	valid
105.0ms	2267×	body	80	invalid

Details

sample1.5s

simplify92.0ms

prune11.0ms

localize7.0ms

rewrite23.0ms

series23.0ms

simplify55.0ms

prune62.0ms

localize9.0ms

rewrite18.0ms

series31.0ms

simplify38.0ms

prune55.0ms

localize14.0ms

rewrite26.0ms

series50.0ms

simplify51.0ms

prune89.0ms

regimes250.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling