Details

sample85.0ms

Algorithm

intervals

Results

26.0ms	48×	body	10240	exit
21.0ms	308×	body	80	nan
20.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5019
6	1161
5	250
4	110
3	45
2	22
1	13
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (sqrt (atan2 b b)) (- b a))
0.1b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`pow-pow` `add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`unpow-prod-up` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `rem-sqrt-square` `sub-neg` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 51

Calls

3 calls:

8.0ms	(pow (sqrt (atan2 b b)) (- b a))
8.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series144.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(pow (sqrt (atan2 b b)) (- b a))
98.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
11.0ms	(sqrt (atan2 b b))

simplify2.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5007
4	3718
3	1092
2	392
1	184
0	78

prune262.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (sqrt (atan2 b b))) (- b a))
0.1b	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down`
6×	`sqrt-pow1`
5×	`pow-unpow` `pow-pow` `add-exp-log`
4×	`add-cbrt-cube` `pow1/2` `insert-posit16` `add-log-exp`
2×	`unpow-prod-up` `rem-sqrt-square`
1×	`pow-to-exp` `sub-neg` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

9.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
32.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series183.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
113.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
22.0ms	(sqrt (atan2 b b))
17.0ms	(sqrt (atan2 b b))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	1511
2	617
1	263
0	107

prune416.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))
0.1b	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-pow1`
30×	`pow1`
22×	`pow-pow`
18×	`pow1/2`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `pow-prod-up`
7×	`add-exp-log` `add-cube-cbrt`
6×	`sqrt-prod`
5×	`pow-unpow` `pow-prod-down` `pow-sqr`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`unpow-prod-up` `rem-sqrt-square` `pow-exp`
1×	`pow2` `pow-to-exp` `sub-neg` `unpow-prod-down` `pow-plus` `sqrt-unprod` `prod-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

23.0ms	(pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))
36.0ms	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series161.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))
83.0ms	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
23.0ms	(sqrt (atan2 b b))
20.0ms	(sqrt (atan2 b b))

simplify5.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5015
3	3334
2	662
1	241
0	112

prune352.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 50

Calls

4 calls:

20.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series163.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
21.0ms	(sqrt (atan2 b b))
20.0ms	(sqrt (atan2 b b))
20.0ms	(sqrt (atan2 b b))

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
6	1331
5	466
4	269
3	170
2	103
1	61
0	38

prune330.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes218.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.6s	1855×	body	10240	exit
1.6s	10067×	body	80	nan
1.3s	7989×	body	80	valid
5.0ms	1×	body	5120	valid
2.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
1.0ms	4×	body	160	valid
1.0ms	1×	body	640	valid