Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample35.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	142×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite10.0ms

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+`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series29.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify41.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	369

prune41.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z t) (* a b))
0.0b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.0b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.3b	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* z t) (* a b))
5.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
15.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* z t) (* a b))
133.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
132.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
23.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

simplify27.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5015	1928

prune105.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.4b	(pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 4)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down`
6×	`cbrt-div` `sqrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
8.0ms	(pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 4)

series278.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
55.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
53.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
117.0ms	(pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 4)

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4929	1557
1	4929	1557

prune116.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 2))
0.3b	(cbrt (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))))
0.5b	(pow (cbrt (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))) 4)
0.5b	(pow (cbrt (pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 2)) 4)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
47×	`unpow-prod-down`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`cbrt-div` `pow-pow` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `sqrt-div` `pow-exp` `unpow2`
1×	`flip3-+` `flip-+`

Counts

4 → 100

Calls

4 calls:

9.0ms	(cbrt (pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 2))
7.0ms	(cbrt (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))))
9.0ms	(pow (cbrt (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))) 4)
11.0ms	(pow (cbrt (pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 2)) 4)

series373.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 2))
56.0ms	(cbrt (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))))
117.0ms	(pow (cbrt (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))) 4)
145.0ms	(pow (cbrt (pow (cbrt (sqrt (+ (* x y) (+ (* z t) (* a b))))) 2)) 4)

simplify43.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5204	2418

prune181.0ms

Filtered

79 candidates to 112 candidates (-41.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes902.0ms

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	16	11
1	16	11

end0.0ms

sample835.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
147.0ms	4048×	body	80	invalid

Details

analyze1.1s

sample35.0ms

simplify3.0ms

prune8.0ms

localize8.0ms

rewrite10.0ms

series29.0ms

simplify41.0ms

prune41.0ms

localize11.0ms

rewrite33.0ms

series298.0ms

simplify27.0ms

prune105.0ms

localize16.0ms

rewrite29.0ms

series278.0ms

simplify46.0ms

prune116.0ms

localize27.0ms

rewrite39.0ms

series373.0ms

simplify43.0ms

prune181.0ms

regimes902.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample835.0ms

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