Details

sample113.0ms

Algorithm

intervals

Results

42.0ms	61×	body	10240	exit
23.0ms	299×	body	80	nan
21.0ms	256×	body	80	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	117	9
5	438	9
6	4540	9
done	5001	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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` `add-log-exp`
2×	`unpow-prod-up` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

15.0ms	(pow (sqrt (atan2 b b)) (- b a))
20.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
2.0ms	(sqrt (atan2 b b))

series153.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(pow (sqrt (atan2 b b)) (- b a))
92.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
19.0ms	(sqrt (atan2 b b))

simplify2.7s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	75	614
1	188	571
2	654	536
3	4107	527
done	5002	527

prune265.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-prod`
78×	`unpow-prod-down`
76×	`add-sqr-sqrt`
25×	`unswap-sqr`
23×	`swap-sqr`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log`
15×	`associate-r` `associate-l`
14×	`sqr-pow`
12×	`unpow-prod-up`
9×	`prod-exp`
6×	`pow1` `pow-to-exp` `sub-neg` `pow-exp` `add-cbrt-cube`
4×	`pow-sub` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow2` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

39.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
93.0ms	(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
3.0ms	(sqrt (atan2 b b))
4.0ms	(sqrt (atan2 b b))

series240.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
55.0ms	(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
13.0ms	(sqrt (atan2 b b))
25.0ms	(sqrt (atan2 b b))

simplify1.7s

Counts

148 → 148

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	141	3640
1	315	2631
2	1430	2461
done	5000	2419

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (sqrt (atan2 b b))) (- b a))
0.6b	(* (cos 1) (* (log (sqrt (atan2 b b))) (- b a)))
1.0b	(sqrt (atan2 b b))
2.0b	(log (sqrt (atan2 b b)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
15×	`add-sqr-sqrt`
12×	`add-exp-log` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
9×	`associate-l`
6×	`sub-neg` `log-prod` `associate-r/` `associate-r*` `sqrt-prod` `log-pow`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`flip3--` `*-commutative` `flip--`
1×	`rem-sqrt-square` `rem-log-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

26.0ms	(* (log (sqrt (atan2 b b))) (- b a))
52.0ms	(* (cos 1) (* (log (sqrt (atan2 b b))) (- b a)))
1.0ms	(sqrt (atan2 b b))
2.0ms	(log (sqrt (atan2 b b)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (log (sqrt (atan2 b b))) (- b a))
255.0ms	(* (cos 1) (* (log (sqrt (atan2 b b))) (- b a)))
11.0ms	(sqrt (atan2 b b))
103.0ms	(log (sqrt (atan2 b b)))

simplify891.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	111	1232
1	252	1180
2	1082	1027
done	5000	1027

prune415.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	20
done	9	20

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.1s	1773×	body	10240	exit
1.4s	7996×	body	80	valid
1.1s	9770×	body	80	nan
1.0ms	1×	body	2560	valid
1.0ms	3×	body	160	valid