Details

sample327.0ms

Algorithm

intervals

Results

26.0ms	55×	body	10240	exit
17.0ms	334×	body	80	nan
15.0ms	256×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	110	9
5	249	9
6	910	9
7	3629	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 20

Calls

2 calls:

4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(sqrt (atan2 b b))

series88.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
18.0ms	(sqrt (atan2 b b))

simplify3.5s

Counts

26 → 26

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	37	238
1	61	224
2	100	204
3	167	195
4	271	195
5	485	195
6	1323	195
7	4635	195
done	5001	195

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
20.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series143.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
62.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify1.5s

Counts

94 → 94

Iterations

Useful iterations: 3 (269.0ms)

Iter	Nodes	Cost
0	77	1621
1	129	1069
2	337	953
3	1686	884
done	5000	884

prune207.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 4)
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
6×	`cbrt-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `sqrt-pow1` `pow1/2`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 4)
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series184.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 4)
12.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify881.0ms

Counts

75 → 75

Iterations

Useful iterations: 3 (219.0ms)

Iter	Nodes	Cost
0	90	863
1	184	761
2	438	730
3	1544	720
done	5000	720

prune253.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

813.0ms	1813×	body	10240	exit
475.0ms	9828×	body	80	nan
453.0ms	7983×	body	80	valid
3.0ms	5×	body	1280	valid
3.0ms	1×	body	5120	valid
1.0ms	1×	body	2560	valid
1.0ms	6×	body	160	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	320	valid