Details

sample677.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 7.095337%

Guaranteed chance to sample good point: 85.714286%

Results

7.0ms	238×	body	80	valid
1.0ms	40×	body	80	invalid
1.0ms	10×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.0ms

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

prune9.0ms

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

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

prune38.0ms

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	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (+ 3.0 d2) d3))
0.3b	(cbrt (+ (+ 3.0 d2) d3))
0.3b	(cbrt (+ (+ 3.0 d2) d3))
0.3b	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
20×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-r` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
7.0ms	(cbrt (+ (+ 3.0 d2) d3))
22.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (+ (+ 3.0 d2) d3))
16.0ms	(cbrt (+ (+ 3.0 d2) d3))
17.0ms	(cbrt (+ (+ 3.0 d2) d3))
8.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))

simplify57.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	481	1565
1	1673	1406
2	5001	1343

prune178.0ms

Filtered

67 candidates to 109 candidates (-62.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.7b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
5.7b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.4b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

10.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
11.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series53.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
6.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
19.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
26.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify81.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842

prune126.0ms

Filtered

77 candidates to 127 candidates (-64.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* d3 d3) (* (+ 3.0 d2) d3))
2.4b	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
5.2b	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
24.2b	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

3.0ms	(- (* d3 d3) (* (+ 3.0 d2) d3))
13.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
19.0ms	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
27.0ms	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series122.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* d3 d3) (* (+ 3.0 d2) d3))
14.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
35.0ms	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
68.0ms	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify117.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	824	1527
1	4352	1379
2	5001	1374

prune216.0ms

Filtered

78 candidates to 119 candidates (-52.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Merged error: 0b

Counts

123 → 4

regimes141.0ms

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	10	3
1	10	3

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 7.095337%

Guaranteed chance to sample good point: 85.714286%

Results

237.0ms	7427×	body	80	valid
48.0ms	1370×	body	80	invalid
24.0ms	221×	body	640	valid
14.0ms	170×	body	320	valid
13.0ms	98×	body	1280	valid
8.0ms	84×	body	160	valid

Details

sample677.0ms

simplify7.0ms

prune9.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify83.0ms

prune38.0ms

localize8.0ms

rewrite43.0ms

series57.0ms

simplify57.0ms

prune178.0ms

localize9.0ms

rewrite48.0ms

series53.0ms

simplify81.0ms

prune126.0ms

localize15.0ms

rewrite68.0ms

series122.0ms

simplify117.0ms

prune216.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling