Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 30.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

29.1b

(sqrt (* x (+ x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt (* x (+ x x)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* x (+ x x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4818	91
1	4818	91

prune38.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	6	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Merged error: 0.2b

Counts

17 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (* x (+ x x))))
29.1b	(sqrt (* x (+ x x)))
29.1b	(sqrt (* x (+ x x)))
29.1b	(sqrt (* x (+ x x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
8×	`sqrt-div` `associate-*r/`
6×	`sqrt-pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `cbrt-prod` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/2` `pow-prod-down`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt (sqrt (* x (+ x x))))
5.0ms	(sqrt (* x (+ x x)))
4.0ms	(sqrt (* x (+ x x)))
7.0ms	(sqrt (* x (+ x x)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (sqrt (* x (+ x x))))
4.0ms	(sqrt (* x (+ x x)))
4.0ms	(sqrt (* x (+ x x)))
4.0ms	(sqrt (* x (+ x x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4807	424
1	4807	424

prune79.0ms

Filtered

51 candidates to 65 candidates (-27.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 0.2b

Counts

72 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (neg (sqrt 2)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (neg (sqrt 2)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (neg (sqrt 2)))

simplify41.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4872	196
1	4872	196

prune59.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	32	10	42

Merged error: 0.1b

Counts

42 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
0.3b	(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `distribute-rgt-neg-out`
3×	`sqrt-prod`
2×	`*-commutative` `add-log-exp`
1×	`distribute-lft-neg-out`

Counts

2 → 47

Calls

2 calls:

8.0ms	(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
11.0ms	(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
5.0ms	(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

simplify62.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4822	407
1	4822	407

prune77.0ms

Filtered

31 candidates to 53 candidates (-71.0%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	53	10	63

Merged error: 0.1b

Counts

63 → 10

regimes60.0ms

Accuracy

99% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 31.0b

bsearch16.0ms

Steps

Iters	Range		Point
10	-2.1840441558990107e-307	6.082469492134953e-299	-6.8685384582662e-311

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	34
1	79	34

end0.0ms

sample276.0ms

Algorithm

intervals

Results

184.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample11.0ms

simplify3.0ms

prune10.0ms

localize5.0ms

rewrite5.0ms

series4.0ms

simplify53.0ms

prune38.0ms

localize9.0ms

rewrite23.0ms

series35.0ms

simplify68.0ms

prune79.0ms

localize6.0ms

rewrite7.0ms

series4.0ms

simplify41.0ms

prune59.0ms

localize7.0ms

rewrite20.0ms

series39.0ms

simplify62.0ms

prune77.0ms

regimes60.0ms

bsearch16.0ms

simplify2.0ms

end0.0ms

sample276.0ms

Profiling