Details

analyze65.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

prune7.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
5.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x 2.0) (* x x))
6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify58.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	302
1	4970	302

prune37.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ x 2.0))) (cbrt (* x (+ x 2.0))))
0.6b	(cbrt (* x (+ x 2.0)))
0.6b	(cbrt (* x (+ x 2.0)))
0.6b	(cbrt (* x (+ x 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* x (+ x 2.0))) (cbrt (* x (+ x 2.0))))
4.0ms	(cbrt (* x (+ x 2.0)))
4.0ms	(cbrt (* x (+ x 2.0)))
4.0ms	(cbrt (* x (+ x 2.0)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (* x (+ x 2.0))) (cbrt (* x (+ x 2.0))))
8.0ms	(cbrt (* x (+ x 2.0)))
10.0ms	(cbrt (* x (+ x 2.0)))
9.0ms	(cbrt (* x (+ x 2.0)))

simplify33.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5408	1060

prune157.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* x (* (+ x 2.0) (+ x 2.0))))
0.0b	(* x (* (+ x 2.0) (+ x 2.0)))
2.3b	(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
27.8b	(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

28×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`flip3-+` `flip-+`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times` `associate--l+`
6×	`associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

12.0ms	(* x (* x (* (+ x 2.0) (+ x 2.0))))
9.0ms	(* x (* (+ x 2.0) (+ x 2.0)))
15.0ms	(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
21.0ms	(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x (* (+ x 2.0) (+ x 2.0))))
3.0ms	(* x (* (+ x 2.0) (+ x 2.0)))
11.0ms	(- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4))
15.0ms	(/ (- (* x (* x (* (+ x 2.0) (+ x 2.0)))) (pow y 4)) (- (* x (+ x 2.0)) (* y y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5286	2164

prune196.0ms

Filtered

88 candidates to 131 candidates (-48.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Merged error: 0.0b

Counts

134 → 3

regimes171.0ms

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	11	11
1	11	11

end0.0ms

analyze80.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample376.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze65.0ms

sample14.0ms

simplify3.0ms

prune7.0ms

localize6.0ms

rewrite9.0ms

series11.0ms

simplify58.0ms

prune37.0ms

localize9.0ms

rewrite20.0ms

series38.0ms

simplify33.0ms

prune157.0ms

localize12.0ms

rewrite62.0ms

series32.0ms

simplify46.0ms

prune196.0ms

regimes171.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze80.0ms

sample376.0ms

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