Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.288574%

Guaranteed chance to sample good point: 37.05577%

Results

11.0ms	256×	body	80	valid
4.0ms	99×	body	80	invalid

simplify84.0ms

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

prune8.0ms

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 (+ (- d2 d3) (- d4 d1)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

11.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	298	214
1	1486	191
2	5003	191

prune37.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))
0.3b	(pow (* d1 (+ (- d2 d3) (- d4 d1))) 3)
34.1b	(cbrt (pow (* d1 (+ (- d2 d3) (- d4 d1))) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

11.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))
11.0ms	(pow (* d1 (+ (- d2 d3) (- d4 d1))) 3)
6.0ms	(cbrt (pow (* d1 (+ (- d2 d3) (- d4 d1))) 3))

series160.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))
133.0ms	(pow (* d1 (+ (- d2 d3) (- d4 d1))) 3)
16.0ms	(cbrt (pow (* d1 (+ (- d2 d3) (- d4 d1))) 3))

simplify91.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	564	739
1	3231	702
2	5001	700

prune141.0ms

Filtered

65 candidates to 90 candidates (-38.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))
0.2b	(* (pow (* d1 (+ (- d2 d3) (- d4 d1))) 2) (* d1 (+ (- d2 d3) (- d4 d1))))
0.3b	(pow (* d1 (+ (- d2 d3) (- d4 d1))) 2)
34.1b	(cbrt (* (pow (* d1 (+ (- d2 d3) (- d4 d1))) 2) (* d1 (+ (- d2 d3) (- d4 d1)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*r/`
29×	`add-exp-log`
20×	`*-un-lft-identity`
16×	`prod-exp`
12×	`pow1` `flip3--` `frac-add` `flip--`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-l`
8×	`add-cube-cbrt` `associate-r`
6×	`cbrt-div` `pow-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `unpow2` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `flip3-+` `pow-prod-down` `flip-+`
2×	`unpow-prod-down` `pow-pow` `pow3` `*-commutative` `pow-prod-up` `sqr-pow`
1×	`cbrt-prod` `pow-plus` `pow1/3` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

13.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))
17.0ms	(* (pow (* d1 (+ (- d2 d3) (- d4 d1))) 2) (* d1 (+ (- d2 d3) (- d4 d1))))
11.0ms	(pow (* d1 (+ (- d2 d3) (- d4 d1))) 2)
13.0ms	(cbrt (* (pow (* d1 (+ (- d2 d3) (- d4 d1))) 2) (* d1 (+ (- d2 d3) (- d4 d1)))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))
188.0ms	(* (pow (* d1 (+ (- d2 d3) (- d4 d1))) 2) (* d1 (+ (- d2 d3) (- d4 d1))))
36.0ms	(pow (* d1 (+ (- d2 d3) (- d4 d1))) 2)
17.0ms	(cbrt (* (pow (* d1 (+ (- d2 d3) (- d4 d1))) 2) (* d1 (+ (- d2 d3) (- d4 d1)))))

simplify103.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	626	1142
1	3502	919
2	5002	905

prune133.0ms

Filtered

75 candidates to 115 candidates (-53.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))
0.2b	(* (sqrt (* d1 (+ (- d2 d3) (- d4 d1)))) (sqrt (* d1 (+ (- d2 d3) (- d4 d1)))))
0.8b	(sqrt (* d1 (+ (- d2 d3) (- d4 d1))))
0.8b	(sqrt (* d1 (+ (- d2 d3) (- d4 d1))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

11.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))
24.0ms	(* (sqrt (* d1 (+ (- d2 d3) (- d4 d1)))) (sqrt (* d1 (+ (- d2 d3) (- d4 d1)))))
10.0ms	(sqrt (* d1 (+ (- d2 d3) (- d4 d1))))
12.0ms	(sqrt (* d1 (+ (- d2 d3) (- d4 d1))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))
17.0ms	(* (sqrt (* d1 (+ (- d2 d3) (- d4 d1)))) (sqrt (* d1 (+ (- d2 d3) (- d4 d1)))))
112.0ms	(sqrt (* d1 (+ (- d2 d3) (- d4 d1))))
116.0ms	(sqrt (* d1 (+ (- d2 d3) (- d4 d1))))

simplify112.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	608	2721
1	2989	2643
2	5002	2613

prune165.0ms

Filtered

107 candidates to 173 candidates (-61.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	173	3	176

Merged error: 0b

Counts

176 → 3

regimes217.0ms

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

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.288574%

Guaranteed chance to sample good point: 37.05577%

Results

346.0ms	8000×	body	80	valid
131.0ms	2897×	body	80	invalid

Details

sample3.1s

simplify84.0ms

prune8.0ms

localize6.0ms

rewrite13.0ms

series15.0ms

simplify44.0ms

prune37.0ms

localize10.0ms

rewrite31.0ms

series160.0ms

simplify91.0ms

prune141.0ms

localize11.0ms

rewrite57.0ms

series252.0ms

simplify103.0ms

prune133.0ms

localize9.0ms

rewrite67.0ms

series256.0ms

simplify112.0ms

prune165.0ms

regimes217.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.8s

Profiling