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

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: 32.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

30.7b

(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:

4.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4818	91
1	4818	91

prune40.0ms

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

localize4.0ms

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)))

simplify42.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4872	196
1	4872	196

prune65.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	33	9	42

Merged error: 0.1b

Counts

42 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (neg (sqrt (sqrt 2))))
5.0ms	(* (* x (neg (sqrt (sqrt 2)))) (sqrt (sqrt 2)))

simplify57.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4842	455
1	4842	455

prune115.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	68	10	78

Merged error: 0.1b

Counts

78 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sqrt (sqrt 2)) (neg (sqrt (sqrt (sqrt 2))))))
0.3b	(* (* x (* (sqrt (sqrt 2)) (neg (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt (sqrt 2))))

rewrite27.0ms

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)) (neg (sqrt (sqrt (sqrt 2))))))
16.0ms	(* (* x (* (sqrt (sqrt 2)) (neg (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt (sqrt 2))))

series40.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5270	496

prune93.0ms

Filtered

31 candidates to 56 candidates (-80.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	5	7
Picked	0	1	1
Done	1	1	2
Total	58	8	66

Merged error: 0.1b

Counts

66 → 8

regimes55.0ms

Accuracy

99.2% (0.2b remaining)

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

bsearch13.0ms

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	69	27
1	69	27

end0.0ms

sample278.0ms

Algorithm

intervals

Results

187.0ms

8000×

body

valid

Details

analyze3.0ms

sample11.0ms

simplify3.0ms

prune6.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify51.0ms

prune40.0ms

localize4.0ms

rewrite7.0ms

series4.0ms

simplify42.0ms

prune65.0ms

localize6.0ms

rewrite18.0ms

series11.0ms

simplify57.0ms

prune115.0ms

localize8.0ms

rewrite27.0ms

series40.0ms

simplify56.0ms

prune93.0ms

regimes55.0ms

bsearch13.0ms

simplify2.0ms

end0.0ms

sample278.0ms

Profiling