Details

analyze77.0ms

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

sample22.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid
0.0ms	6×	body	80	nan

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	947	20
1	947	20

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: 0.1b

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)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.4b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))

rewrite50.0ms

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:

8.0ms	(* (- a (/ 1.0 3.0)) 9.0)
22.0ms	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
10.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- a (/ 1.0 3.0)) 9.0)
13.0ms	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
17.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
6.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5362	1905

prune268.0ms

Filtered

92 candidates to 113 candidates (-22.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	7	113
Fresh	0	1	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)
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.4b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
7.8b	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite50.0ms

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)
9.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
21.0ms	(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5025	2026

prune284.0ms

Filtered

101 candidates to 125 candidates (-23.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	125	8	133

Merged error: 0b

Counts

133 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
103×	`times-frac`
78×	`*-un-lft-identity`
68×	`sqrt-prod`
54×	`add-cube-cbrt`
39×	`associate-l`
32×	`add-exp-log`
25×	`associate-r`
20×	`add-cbrt-cube`
18×	`difference-of-squares`
16×	`unswap-sqr`
11×	`pow1`
10×	`div-exp`
9×	`prod-exp` `associate-/r*` `distribute-lft-out--`
6×	`flip3--` `sqrt-div` `flip--`
5×	`cbrt-undiv` `frac-times` `cbrt-unprod`
4×	`associate-/r/` `add-log-exp`
3×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `associate-r/` `associate-l/` `flip-+` `div-inv` `associate-/l*`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `*-commutative`
1×	`distribute-rgt-in` `rem-sqrt-square` `frac-2neg` `distribute-lft-in` `clear-num` `inv-pow`

Counts

4 → 202

Calls

4 calls:

6.0ms	(sqrt (- a (/ 1.0 3.0)))
23.0ms	(* (- a (/ 1.0 3.0)) (+ (* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) 1))
24.0ms	(* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
9.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (- a (/ 1.0 3.0)))
14.0ms	(* (- a (/ 1.0 3.0)) (+ (* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) 1))
19.0ms	(* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
5.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4976	3441
1	4976	3441

prune438.0ms

Filtered

138 candidates to 214 candidates (-55.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	217	5	222

Merged error: 0b

Counts

222 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- a (/ 1.0 3.0)) -1/2)
0.0b	(+ (* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0))) 1)
0.1b	(* (- a (/ 1.0 3.0)) (+ (* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0))) 1))
0.3b	(* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
25×	`associate-r`
23×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`associate-l`
15×	`unpow-prod-down`
12×	`sqrt-prod`
11×	`add-cbrt-cube`
10×	`unswap-sqr`
7×	`pow1` `prod-exp`
6×	`add-log-exp` `difference-of-squares`
5×	`sqr-pow`
4×	`frac-times` `flip3-+` `flip-+`
3×	`pow-to-exp` `pow-unpow` `flip3--` `associate-*r/` `div-exp` `pow-exp` `flip--` `cbrt-unprod` `distribute-lft-out--`
2×	`associate-l/` `-commutative`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow-prod-down` `sum-log` `div-inv`

Counts

4 → 120

Calls

4 calls:

7.0ms	(pow (- a (/ 1.0 3.0)) -1/2)
14.0ms	(+ (* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0))) 1)
19.0ms	(* (- a (/ 1.0 3.0)) (+ (* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0))) 1))
18.0ms	(* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (- a (/ 1.0 3.0)) -1/2)
13.0ms	(+ (* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0))) 1)
14.0ms	(* (- a (/ 1.0 3.0)) (+ (* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0))) 1))
22.0ms	(* (pow (- a (/ 1.0 3.0)) -1/2) (/ rand (sqrt 9.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5152	2471

prune283.0ms

Filtered

99 candidates to 132 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	132	5	137

Merged error: 0b

Counts

137 → 5

regimes150.0ms

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	17	24
1	17	24

end0.0ms

analyze82.0ms

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

sample598.0ms

Algorithm

intervals

Results

438.0ms	8000×	body	80	valid
15.0ms	264×	body	80	nan
15.0ms	272×	body	80	invalid

Details

analyze77.0ms

sample22.0ms

simplify33.0ms

prune11.0ms

localize10.0ms

rewrite50.0ms

series38.0ms

simplify33.0ms

prune268.0ms

localize10.0ms

rewrite50.0ms

series41.0ms

simplify42.0ms

prune284.0ms

localize12.0ms

rewrite71.0ms

series46.0ms

simplify72.0ms

prune438.0ms

localize16.0ms

rewrite62.0ms

series55.0ms

simplify42.0ms

prune283.0ms

regimes150.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze82.0ms

sample598.0ms

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