Details

sample402.0ms

Algorithm

intervals

Results

135.0ms	67×	body	10240	exit
49.0ms	323×	body	80	nan
37.0ms	256×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2050
7	2050
6	1161
5	250
4	110
3	45
2	22
1	13
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite23.0ms

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	(sin (pow (sqrt (atan2 b b)) (- b a)))
9.0ms	(pow (sqrt (atan2 b b)) (- b a))
4.0ms	(sqrt (atan2 b b))

series168.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
38.0ms	(pow (sqrt (atan2 b b)) (- b a))
26.0ms	(sqrt (atan2 b b))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	2004
4	2004
3	1051
2	391
1	184
0	78

prune635.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

11.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
11.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series119.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
33.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
20.0ms	(sqrt (atan2 b b))
20.0ms	(sqrt (atan2 b b))

simplify1.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	2004
4	2004
3	1208
2	490
1	214
0	84

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

11.0ms	(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))

series80.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
11.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))
13.0ms	(sqrt (atan2 b b))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	2004
4	2004
3	1208
2	490
1	214
0	84

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

11.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
14.0ms	(pow (pow (sqrt (sqrt (atan2 b b))) (sqrt (- b a))) (sqrt (- b a)))
2.0ms	(sqrt (atan2 b b))
8.0ms	(sqrt (atan2 b b))

series632.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
550.0ms	(pow (pow (sqrt (sqrt (atan2 b b))) (sqrt (- b a))) (sqrt (- b a)))
11.0ms	(sqrt (atan2 b b))
16.0ms	(sqrt (atan2 b b))

simplify1.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	2002
3	2002
2	1171
1	462
0	175

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

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	14
1	14
0	13

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.6s	9772×	body	80	nan
2.4s	1794×	body	10240	exit
1.3s	7989×	body	80	valid
7.0ms	1×	body	5120	valid
5.0ms	2×	body	2560	valid
2.0ms	4×	body	160	valid
2.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid
1.0ms	1×	body	640	valid