Details

sample616.0ms

Algorithm

intervals

Results

266.0ms	336×	body	80	nan
177.0ms	59×	body	10240	exit
76.0ms	256×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite15.0ms

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` `rem-sqrt-square` `sub-neg` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

4.0ms	(pow (sqrt (atan2 b b)) (- b a))
7.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
2.0ms	(sqrt (atan2 b b))

series154.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(pow (sqrt (atan2 b b)) (- b a))
86.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
40.0ms	(sqrt (atan2 b b))

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
4	2193
3	898
2	406
1	179
0	75

prune633.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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` `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 → 76

Calls

4 calls:

10.0ms	(pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))
16.0ms	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
1.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series156.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))
95.0ms	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
11.0ms	(sqrt (atan2 b b))
12.0ms	(sqrt (atan2 b b))

simplify7.2s

Counts

88 → 88

Iterations

Iter	Nodes
4	3774
3	1209
2	477
1	232
0	109

prune845.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(pow (sqrt (atan2 b b)) (- b a))
14.0ms	(sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))
12.0ms	(log (exp (pow (sqrt (atan2 b b)) (- b a))))
2.0ms	(sqrt (atan2 b b))

series161.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (sqrt (atan2 b b)) (- b a))
100.0ms	(sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))
23.0ms	(log (exp (pow (sqrt (atan2 b b)) (- b a))))
12.0ms	(sqrt (atan2 b b))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
4	2422
3	1025
2	493
1	242
0	126

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

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
1	9
0	9

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.0s	1854×	body	10240	exit
2.1s	9776×	body	80	nan
1.4s	7988×	body	80	valid
8.0ms	1×	body	5120	valid
5.0ms	2×	body	2560	valid
2.0ms	2×	body	1280	valid
2.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	640	valid