Details

sample89.0ms

Algorithm

intervals

Results

33.0ms	67×	body	10240	exit
20.0ms	340×	body	80	nan
17.0ms	256×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	444
4	117
3	45
2	22
1	13
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`unpow-prod-up`
9×	`prod-diff`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`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 → 63

Calls

3 calls:

8.0ms	(pow (sqrt (atan2 b b)) (- b a))
10.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series137.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(pow (sqrt (atan2 b b)) (- b a))
88.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
21.0ms	(sqrt (atan2 b b))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1102
1	315
0	117

prune342.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`unpow-prod-up` `log-pow`
21×	`exp-prod`
18×	`prod-diff`
12×	`unpow-prod-down`
9×	`sqrt-prod`
8×	`pow1`
6×	`log-prod`
5×	`pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 101

Calls

4 calls:

7.0ms	(pow (sqrt (atan2 b b)) (- b a))
37.0ms	(sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))
14.0ms	(log (exp (pow (sqrt (atan2 b b)) (- b a))))
1.0ms	(sqrt (atan2 b b))

series161.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow (sqrt (atan2 b b)) (- b a))
90.0ms	(sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))
24.0ms	(log (exp (pow (sqrt (atan2 b b)) (- b a))))
15.0ms	(sqrt (atan2 b b))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1222
1	399
0	188

prune645.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-pow`
46×	`sqrt-pow1`
42×	`exp-prod`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `add-cube-cbrt`
22×	`unpow-prod-up`
18×	`prod-diff` `sqrt-prod`
12×	`log-prod` `unpow-prod-down`
10×	`pow1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sub-neg` `rem-log-exp` `sqr-pow`

Counts

4 → 110

Calls

4 calls:

20.0ms	(log (sqrt (exp (pow (sqrt (atan2 b b)) (- b a)))))
31.0ms	(log (sqrt (exp (pow (sqrt (atan2 b b)) (- b a)))))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series229.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (sqrt (exp (pow (sqrt (atan2 b b)) (- b a)))))
91.0ms	(log (sqrt (exp (pow (sqrt (atan2 b b)) (- b a)))))
19.0ms	(sqrt (atan2 b b))
13.0ms	(sqrt (atan2 b b))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
3	1475
2	498
1	243
0	139

prune716.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))) (cbrt (sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`cbrt-prod`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`pow1`
9×	`sqrt-prod`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

142.0ms	(* (cbrt (sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))) (cbrt (sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series288.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))) (cbrt (sin (log (exp (pow (sqrt (atan2 b b)) (- b a)))))))
18.0ms	(sqrt (atan2 b b))
13.0ms	(sqrt (atan2 b b))
12.0ms	(sqrt (atan2 b b))

simplify4.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
3	3589
2	584
1	180
0	86

prune696.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	1884×	body	10240	exit
1.4s	9640×	body	80	nan
859.0ms	7993×	body	80	valid
3.0ms	3×	body	1280	valid
1.0ms	1×	body	2560	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid