Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.190674%

Guaranteed chance to sample good point: 76.107831%

Results

8.0ms	245×	body	80	valid
1.0ms	27×	body	80	invalid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

12.0ms

(* d1 (+ (+ 3.0 d2) d3))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify87.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune37.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

9.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
18.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
7.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify40.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	314	517
1	1392	443
2	5001	431

prune85.0ms

Filtered

36 candidates to 63 candidates (-75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	63	4	67

Merged error: 0b

Counts

67 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))
0.1b	(sqrt (* d1 (+ (+ 3.0 d2) d3)))
0.1b	(sqrt (* d1 (+ (+ 3.0 d2) d3)))
0.3b	(* (sqrt (* d1 (+ (+ 3.0 d2) d3))) (sqrt (* d1 (+ (+ 3.0 d2) d3))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

8.0ms	(* d1 (+ (+ 3.0 d2) d3))
6.0ms	(sqrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms	(sqrt (* d1 (+ (+ 3.0 d2) d3)))
17.0ms	(* (sqrt (* d1 (+ (+ 3.0 d2) d3))) (sqrt (* d1 (+ (+ 3.0 d2) d3))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* d1 (+ (+ 3.0 d2) d3))
19.0ms	(sqrt (* d1 (+ (+ 3.0 d2) d3)))
19.0ms	(sqrt (* d1 (+ (+ 3.0 d2) d3)))
60.0ms	(* (sqrt (* d1 (+ (+ 3.0 d2) d3))) (sqrt (* d1 (+ (+ 3.0 d2) d3))))

simplify63.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	336	683
1	1769	621
2	5001	599

prune132.0ms

Filtered

67 candidates to 119 candidates (-77.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	4	123

Merged error: 0b

Counts

123 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2)))
2.6b	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
5.7b	(* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1)
30.2b	(/ (* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1) (+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
40×	`associate-*r/`
32×	`frac-add`
29×	`flip3-+` `flip-+`
26×	`distribute-lft-out`
18×	`associate-/r/`
16×	`frac-times` `unpow-prod-down` `flip3--` `cube-prod` `flip--`
13×	`associate-l`
12×	`associate-*l/`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-+l+`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `associate-+r+` `div-exp` `prod-exp` `sum-log` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

11.0ms	(+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2)))
13.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
17.0ms	(* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1)
28.0ms	(/ (* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1) (+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2)))
10.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
20.0ms	(* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1)
40.0ms	(/ (* (+ (pow (+ 3.0 d2) 3) (pow d3 3)) d1) (+ (* d3 (- d3 (+ 3.0 d2))) (* (+ 3.0 d2) (+ 3.0 d2))))

simplify107.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	794	2063
1	4191	1909
2	5001	1909

prune276.0ms

Filtered

92 candidates to 137 candidates (-48.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Merged error: 0b

Counts

141 → 4

regimes147.0ms

Accuracy

0% (0.0b 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	10	3
1	10	3

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.190674%

Guaranteed chance to sample good point: 76.107831%

Results

244.0ms	7451×	body	80	valid
26.0ms	665×	body	80	invalid
25.0ms	229×	body	640	valid
14.0ms	161×	body	320	valid
12.0ms	85×	body	1280	valid
4.0ms	74×	body	160	valid

Details

sample1.2s

simplify8.0ms

prune7.0ms

localize6.0ms

rewrite12.0ms

series7.0ms

simplify87.0ms

prune37.0ms

localize7.0ms

rewrite29.0ms

series21.0ms

simplify40.0ms

prune85.0ms

localize8.0ms

rewrite41.0ms

series104.0ms

simplify63.0ms

prune132.0ms

localize15.0ms

rewrite77.0ms

series79.0ms

simplify107.0ms

prune276.0ms

regimes147.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling