Details

sample156.0ms

Algorithm

intervals

Results

50.0ms	46×	body	10240	exit
48.0ms	275×	body	80	nan
37.0ms	256×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
7	2433
6	740
5	248
4	110
3	45
2	22
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

14.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
9.0ms	(pow (sqrt (atan2 b b)) (- b a))
2.0ms	(sqrt (atan2 b b))

series149.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
25.0ms	(pow (sqrt (atan2 b b)) (- b a))
22.0ms	(sqrt (atan2 b b))

simplify950.0ms

Counts

60 → 60

Iterations

Iter	Nodes
4	2133
3	900
2	409
1	182
0	78

prune409.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
14.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series87.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
32.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
11.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
4	3383
3	1233
2	517
1	212
0	84

prune901.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series55.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))
13.0ms	(sqrt (atan2 b b))
18.0ms	(sqrt (atan2 b b))

simplify6.0s

Counts

68 → 68

Iterations

Iter	Nodes
10	6978
9	1473
8	463
7	195
6	96
5	57
4	37
3	29
2	25
1	22
0	19

prune804.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(sqrt (pow (sqrt (sqrt (atan2 b b))) (- b a)))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`sqrt-prod`
18×	`add-sqr-sqrt`
12×	`unpow-prod-down`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`rem-sqrt-square`
7×	`pow1`
4×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`unpow-prod-up` `sqr-pow`
1×	`sub-neg` `sqrt-div` `pow-sub`

Counts

4 → 73

Calls

4 calls:

9.0ms	(sqrt (pow (sqrt (sqrt (atan2 b b))) (- b a)))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series138.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (pow (sqrt (sqrt (atan2 b b))) (- b a)))
19.0ms	(sqrt (atan2 b b))
19.0ms	(sqrt (atan2 b b))
20.0ms	(sqrt (atan2 b b))

simplify4.4s

Counts

85 → 85

Iterations

Iter	Nodes
5	6977
4	1840
3	690
2	302
1	152
0	88

prune833.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.9s	1797×	body	10240	exit
1.9s	7986×	body	80	valid
1.7s	9763×	body	80	nan
12.0ms	2×	body	5120	valid
7.0ms	3×	body	2560	valid
3.0ms	3×	body	1280	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	160	valid