Details

analyze71.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
6.2%	43.7%	50%	5
9.4%	28.1%	62.5%	6
12.5%	25%	62.5%	7
15.6%	15.6%	68.8%	8
16.8%	14.4%	68.8%	9
18.5%	8.8%	72.7%	10
19.2%	7.7%	73.1%	11
20.1%	4.6%	75.2%	12
20.5%	4%	75.5%	13
21%	2.4%	76.6%	14

sample26.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid
0.0ms	6×	body	80	nan

simplify154.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	5239	20

prune10.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9.0)
0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))))
0.3b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.6b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
17×	`add-cube-cbrt`
14×	`times-frac`
12×	`associate-l`
11×	`pow1`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
7×	`associate-r`
6×	`flip3--` `flip--`
5×	`sqrt-prod`
4×	`frac-times` `sqrt-div` `associate-/r*` `add-log-exp` `difference-of-squares`
3×	`flip3-+` `pow-prod-down` `flip-+` `associate-/l*`
2×	`sqrt-pow1` `associate-r/` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/2` `div-exp` `clear-num` `div-inv` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

9.0ms	(* (- a (/ 1.0 3.0)) 9.0)
18.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))))
10.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- a (/ 1.0 3.0)) 9.0)
12.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))))
14.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
6.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	1937
1	4940	1937

prune281.0ms

Filtered

90 candidates to 113 candidates (-25.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9.0)
0.3b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.6b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
6.4b	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`pow1`
10×	`associate-*l/`
8×	`sqrt-prod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`associate-/r*` `associate-/r/` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `distribute-lft-out--`
1×	`frac-2neg` `pow1/2` `associate-*r/` `clear-num`

Counts

4 → 113

Calls

4 calls:

9.0ms	(* (- a (/ 1.0 3.0)) 9.0)
10.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
20.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- a (/ 1.0 3.0)) 9.0)
14.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
5.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
16.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4931	2084
1	4931	2084

prune307.0ms

Filtered

101 candidates to 125 candidates (-23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	126	7	133

Merged error: 0b

Counts

133 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
0.5b	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

260×	`add-sqr-sqrt`
171×	`times-frac`
130×	`*-un-lft-identity`
99×	`sqrt-prod`
66×	`difference-of-squares`
64×	`add-cube-cbrt`
60×	`associate-l`
33×	`distribute-lft-out--`
22×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-/r*` `add-log-exp` `unswap-sqr`
7×	`flip3--` `flip--`
6×	`sqrt-div` `frac-add` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `associate-/r/` `cbrt-unprod`
3×	`frac-times` `associate-r/` `associate-l/` `div-inv`
2×	`sqrt-pow1` `pow1/2` `sum-log` `associate-/l/` `pow-div`
1×	`+-commutative` `associate-+l-` `sub-neg` `rem-sqrt-square` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `clear-num` `*-commutative` `flip-+`

Counts

4 → 237

Calls

4 calls:

9.0ms	(+ (- a (/ 1.0 3.0)) (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))))
6.0ms	(sqrt (- a (/ 1.0 3.0)))
41.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
15.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (- a (/ 1.0 3.0)) (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))))
4.0ms	(sqrt (- a (/ 1.0 3.0)))
21.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
5.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5021	4714

prune804.0ms

Filtered

170 candidates to 249 candidates (-46.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	245	4	249
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	251	5	256

Merged error: 0b

Counts

256 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
26×	`sqrt-prod`
24×	`times-frac`
23×	`*-un-lft-identity`
22×	`associate-r`
19×	`add-cube-cbrt`
14×	`sqrt-div`
12×	`flip3--` `flip--`
10×	`frac-add`
9×	`associate-l`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `frac-times` `associate-*l/` `unswap-sqr`
4×	`difference-of-squares`
3×	`associate-*r/`
2×	`prod-exp` `sum-log` `cbrt-unprod` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 98

Calls

3 calls:

12.0ms	(+ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))))
7.0ms	(sqrt (- a (/ 1.0 3.0)))
16.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (- a (/ 1.0 3.0)) (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))))
4.0ms	(sqrt (- a (/ 1.0 3.0)))
18.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5029	2234

prune232.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	19
1	74	19

end0.0ms

sample631.0ms

Algorithm

intervals

Results

453.0ms	8000×	body	80	valid
19.0ms	267×	body	80	invalid
15.0ms	299×	body	80	nan

Details

analyze71.0ms

sample26.0ms

simplify154.0ms

prune10.0ms

localize10.0ms

rewrite47.0ms

series35.0ms

simplify52.0ms

prune281.0ms

localize10.0ms

rewrite52.0ms

series39.0ms

simplify53.0ms

prune307.0ms

localize11.0ms

rewrite85.0ms

series45.0ms

simplify80.0ms

prune804.0ms

localize10.0ms

rewrite39.0ms

series33.0ms

simplify42.0ms

prune232.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample631.0ms

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