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

sample14.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune4.0ms

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: 31.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.3b

(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(sqrt (* (* 2.0 x) x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* (* 2.0 x) x))

simplify110.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune32.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Merged error: 0.2b

Counts

16 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (sqrt 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (sqrt 2.0))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (sqrt 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4990	133
1	4990	133

prune66.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	24	7	31

Merged error: 0.1b

Counts

31 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (sqrt (sqrt 2.0)))
0.3b	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
18×	`associate-r`
15×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2.0)))
9.0ms	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2.0)))
6.0ms	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5078	343

prune72.0ms

Filtered

28 candidates to 56 candidates (-100.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.1b

Counts

63 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (pow (sqrt (sqrt 2.0)) 3/2))
0.3b	(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
25×	`associate-r`
20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`unpow-prod-down`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp`
9×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `associate-l` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 61

Calls

2 calls:

7.0ms	(* x (pow (sqrt (sqrt 2.0)) 3/2))
11.0ms	(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

series41.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (pow (sqrt (sqrt 2.0)) 3/2))
4.0ms	(* (* x (pow (sqrt (sqrt 2.0)) 3/2)) (sqrt (sqrt (sqrt 2.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4901	659
1	4901	659

prune107.0ms

Filtered

37 candidates to 67 candidates (-81.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	67	7	74

Merged error: 0.1b

Counts

74 → 7

regimes135.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.5b

bsearch12.0ms

Steps

Iters	Range		Point
9	-2.5030317015873653e-306	6.678033301088349e-305	8.3104626160278e-311

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms

sample261.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid

Details

analyze3.0ms

sample14.0ms

simplify3.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify110.0ms

prune32.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify46.0ms

prune66.0ms

localize5.0ms

rewrite16.0ms

series12.0ms

simplify51.0ms

prune72.0ms

localize12.0ms

rewrite20.0ms

series41.0ms

simplify37.0ms

prune107.0ms

regimes135.0ms

bsearch12.0ms

simplify1.0ms

end0.0ms

sample261.0ms

Profiling