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	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: 32.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.7b

(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))

simplify107.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune36.0ms

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:

0.5b	(* 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)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* 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

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	33	8	41

Merged error: 0.1b

Counts

41 → 8

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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (neg (sqrt (sqrt 2.0))))
4.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4827	455
1	4827	455

prune106.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	68	9	77

Merged error: 0.1b

Counts

77 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0))))))
0.3b	(* (* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (sqrt 2.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

9.0ms	(* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0))))))
15.0ms	(* (* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (sqrt 2.0))))

series40.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0))))))
5.0ms	(* (* x (* (sqrt (sqrt 2.0)) (neg (sqrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (sqrt 2.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5290	499

prune85.0ms

Filtered

31 candidates to 56 candidates (-80.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	58	7	65

Merged error: 0.1b

Counts

65 → 7

regimes153.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.7b

bsearch14.0ms

Steps

Iters	Range		Point
10	-8.711722846480093e-295	1.1188281915123586e-307	6.0263395317301e-311

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	27
1	70	27

end0.0ms

sample270.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid

Details

analyze3.0ms

sample11.0ms

simplify3.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify107.0ms

prune36.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify50.0ms

prune58.0ms

localize6.0ms

rewrite20.0ms

series11.0ms

simplify58.0ms

prune106.0ms

localize8.0ms

rewrite25.0ms

series40.0ms

simplify61.0ms

prune85.0ms

regimes153.0ms

bsearch14.0ms

simplify2.0ms

end0.0ms

sample270.0ms

Profiling