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

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

prune6.0ms

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: 30.1b

Counts

2 → 1

localize9.0ms

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)))

series5.0ms

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

prune32.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.2b

Counts

17 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(* x (sqrt 2))

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))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (sqrt 2))

simplify29.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4888	133
1	4888	133

prune37.0ms

Filtered

14 candidates to 25 candidates (-78.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	24	6	30

Merged error: 0.1b

Counts

30 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

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)))
9.0ms	(* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2)))
4.0ms	(* (* x (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5070	343

prune74.0ms

Filtered

28 candidates to 56 candidates (-100.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	56	6	62

Merged error: 0.1b

Counts

62 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (sqrt x) (sqrt (+ x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
17×	`add-sqr-sqrt`
15×	`associate-r`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`associate-l`
5×	`pow1`
4×	`unswap-sqr`
3×	`add-exp-log` `distribute-rgt-out` `pow-prod-down` `add-cbrt-cube` `distribute-lft-out`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*r/`
1×	`distribute-lft1-in` `flip3-+` `count-2` `sqrt-unprod` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp`

Counts

1 → 41

Calls

1 calls:

9.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5543	350

prune32.0ms

Filtered

26 candidates to 44 candidates (-69.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	44	6	50

Merged error: 0.1b

Counts

50 → 6

regimes42.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 30.4b

bsearch15.0ms

Steps

Iters	Range		Point
10	-6.810422911027253e-303	1.5585031842818654e-298	-2.8259720265258e-310

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms

sample279.0ms

Algorithm

intervals

Results

187.0ms

8000×

body

valid

Details

analyze4.0ms

sample11.0ms

simplify3.0ms

prune6.0ms

localize9.0ms

rewrite5.0ms

series5.0ms

simplify53.0ms

prune32.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify29.0ms

prune37.0ms

localize5.0ms

rewrite16.0ms

series11.0ms

simplify58.0ms

prune74.0ms

localize5.0ms

rewrite11.0ms

series7.0ms

simplify49.0ms

prune32.0ms

regimes42.0ms

bsearch15.0ms

simplify1.0ms

end0.0ms

sample279.0ms

Profiling