Details

analyze4.0ms

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

sample12.0ms

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	10	6
1	10	6

prune5.0ms

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: 33.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

32.3b

(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))

simplify109.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune38.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b	(* x (neg (sqrt 2.0)))

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 2.0)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (neg (sqrt 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4786	196
1	4786	196

prune58.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	32	9	41

Merged error: 0.0b

Counts

41 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
0.2b	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite22.0ms

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:

10.0ms	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
11.0ms	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
5.0ms	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4894	335
1	4894	335

prune78.0ms

Filtered

30 candidates to 53 candidates (-76.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	53	9	62

Merged error: 0.0b

Counts

62 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-r`
27×	`sqrt-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-rgt-neg-out` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

7.0ms	(* x (neg (sqrt (sqrt 2.0))))
11.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (neg (sqrt (sqrt 2.0))))
4.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4827	455
1	4827	455

prune84.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

regimes178.0ms

Accuracy

99% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 31.6b

bsearch15.0ms

Steps

Iters	Range		Point
9	-6.429731566315822e-304	4.394327582231361e-307	1.18320777133784e-310

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	27
1	78	27

end0.0ms

sample293.0ms

Algorithm

intervals

Results

198.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify3.0ms

prune5.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify109.0ms

prune38.0ms

localize4.0ms

rewrite7.0ms

series4.0ms

simplify50.0ms

prune58.0ms

localize8.0ms

rewrite22.0ms

series38.0ms

simplify61.0ms

prune78.0ms

localize6.0ms

rewrite20.0ms

series11.0ms

simplify60.0ms

prune84.0ms

regimes178.0ms

bsearch15.0ms

simplify2.0ms

end0.0ms

sample293.0ms

Profiling