Details

analyze76.0ms

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

sample27.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
1.0ms	12×	body	80	nan
0.0ms	7×	body	80	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4908	20
1	4908	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

localize11.0ms

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))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite54.0ms

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)
25.0ms	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
10.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (- a (/ 1.0 3.0)) 9.0)
12.0ms	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
5.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
15.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5787	1905

prune269.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.2b	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

441×	`times-frac`
343×	`add-sqr-sqrt`
261×	`*-un-lft-identity`
258×	`sqrt-prod`
205×	`add-cube-cbrt`
54×	`difference-of-squares`
36×	`associate-/l*`
27×	`distribute-lft-out--`
18×	`sqrt-div`
16×	`associate-/r/`
15×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
9×	`div-inv`
7×	`pow1`
6×	`associate-l`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-r` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 355

Calls

4 calls:

6.0ms	(sqrt (- a (/ 1.0 3.0)))
71.0ms	(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
9.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
18.0ms	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- a (/ 1.0 3.0)))
13.0ms	(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
11.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
17.0ms	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

367 → 367

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4988	7942
1	4988	7942

prune810.0ms

Filtered

219 candidates to 367 candidates (-67.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	365	2	367
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	370	5	375

Merged error: 0.0b

Counts

375 → 5

localize17.0ms

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

rewrite78.0ms

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)))
24.0ms	(* (- a (/ 1.0 3.0)) (+ (* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) 1))
10.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
25.0ms	(* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- a (/ 1.0 3.0)))
13.0ms	(* (- a (/ 1.0 3.0)) (+ (* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) 1))
5.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
20.0ms	(* (/ 1 (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4984	3469
1	4984	3469

prune443.0ms

Filtered

137 candidates to 214 candidates (-56.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	214	5	219

Merged error: 0.0b

Counts

219 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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-+r-` `sub-neg` `rem-sqrt-square` `associate-+r+` `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:

6.0ms	(sqrt (- a (/ 1.0 3.0)))
18.0ms	(+ (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
16.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(sqrt (- a (/ 1.0 3.0)))
12.0ms	(+ (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
20.0ms	(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5570	2228

prune222.0ms

Filtered

81 candidates to 107 candidates (-32.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

regimes137.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample629.0ms

Algorithm

intervals

Results

461.0ms	8000×	body	80	valid
14.0ms	270×	body	80	nan
14.0ms	239×	body	80	invalid

Details

analyze76.0ms

sample27.0ms

simplify149.0ms

prune10.0ms

localize11.0ms

rewrite54.0ms

series36.0ms

simplify38.0ms

prune269.0ms

localize17.0ms

rewrite132.0ms

series46.0ms

simplify101.0ms

prune810.0ms

localize17.0ms

rewrite78.0ms

series42.0ms

simplify69.0ms

prune443.0ms

localize11.0ms

rewrite45.0ms

series36.0ms

simplify35.0ms

prune222.0ms

regimes137.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample629.0ms

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