Details

analyze22.3s (14.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
3.5%	96.2%	0.2%	10
5.3%	94.5%	0.2%	11
6.1%	93.6%	0.2%	12
9.2%	90.6%	0.2%	13
13.8%	85.9%	0.2%	14

Compiler

Compiled 175 to 127 computations (27.4% saved)

sample54.1s (36.1%)

Results

19.4s	1670×	body	4096	valid
11.0s	1428×	body	2048	valid
10.6s	1703×	body	1024	valid
6.7s	91×	body	8192	exit
3.0s	703×	body	512	valid
2.5s	2409×	body	128	valid
903.0ms	343×	body	256	valid

Compiler

Compiled 524 to 380 computations (27.5% saved)

simplify21.0ms (0%)

Algorithm

1×	egg-herbie

Rules

637×	`times-frac_binary64`
293×	`associate-/l/_binary64`
243×	`div-sub_binary64`
198×	`fma-def_binary64`
174×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	273
1	115	265
2	345	265
3	1608	265

Stop Event

1×	node limit

Counts

1 → 2

prune17.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

54.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	54.5b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale)))) (PI.f64)))
	56.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))) (PI.f64)))

Status

Error

Program

▶

54.5b

(*.f64 180 (/.f64 (atan.f64 (*.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (*.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (*.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (*.f64 y-scale y-scale))) (*.f64 (/.f64 2 y-scale) (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 x-scale (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (*.f64 2 (-.f64 (*.f64 b b) (*.f64 a a))))) y-scale)))) (PI.f64)))

56.2b

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))) (PI.f64)))

Compiler

Compiled 1024 to 708 computations (30.9% saved)

localize49.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	15.0b	(/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale))
✓	23.1b	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))))))))
✓	26.6b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	26.8b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

series51.6s (34.4%)

Counts

4 → 144

Calls

4 calls:

34.2s	(/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale))
17.3s	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))))))))
3.0ms	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

rewrite111.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`
171×	`log-prod_binary64`
162×	`unpow-prod-down_binary64`
141×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	484
1	1038	456

Stop Event

1×	node limit

Counts

4 → 90

Calls

4 calls:

101.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale))
101.0ms	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))))))))
101.0ms	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
101.0ms	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

simplify3.7s (2.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10887	673290

Stop Event

1×	node limit

Counts

234 → 187

prune10.4s (6.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	393	14	407
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	394	15	409

Error

36.6b

Counts

409 → 15

Alt Table

Status	Error	Program
	56.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))) (PI.f64)))
	62.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (pow.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) 3) 1/3) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale)))) (PI.f64)))
	61.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 x-scale 4)) (/.f64 (pow.f64 a 4) (pow.f64 y-scale 4))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))))) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))) (.f64 angle (-.f64 (.f64 1/180 (.f64 (PI.f64) (pow.f64 b 2))) (.f64 1/180 (*.f64 (PI.f64) (pow.f64 a 2))))))))) (PI.f64)))
	56.5b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (-.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2))))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	54.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (sqrt.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (neg.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	52.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))))))) (pow.f64 x-scale 2))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	59.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2)))) (pow.f64 b 2)) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale)))) (PI.f64)))
	54.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	53.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)))))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 x-scale 2) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))))) (PI.f64)))
	57.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (+.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (pow.f64 x-scale 4)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (pow.f64 x-scale 4))) (/.f64 (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (pow.f64 x-scale 4))))) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (pow.f64 x-scale 2)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 x-scale 2))))) (-.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	62.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 y-scale (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
▶	52.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	55.7b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	58.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (sqrt.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (neg.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale)))) (PI.f64)))
	58.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))

Compiler

Compiled 401814 to 283386 computations (29.5% saved)

localize47.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	15.9b	(-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))
✓	17.4b	(sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))))
✓	26.4b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	26.8b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series911.0ms (0.6%)

Counts

4 → 76

Calls

4 calls:

562.0ms	(-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))
344.0ms	(sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`log1p-expm1-u_binary64`
390×	`expm1-log1p-u_binary64`
370×	`add-log-exp_binary64`
361×	`pow1_binary64`
121×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	296
1	869	286

Stop Event

1×	node limit

Counts

4 → 79

Calls

4 calls:

81.0ms	(-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (*.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))
81.0ms	(sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (*.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))))
81.0ms	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
81.0ms	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

simplify59.0ms (0%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
500×	`associate-/l*_binary64`
391×	`fma-def_binary64`
261×	`cancel-sign-sub-inv_binary64`
135×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	3372
1	399	3359
2	1468	3264

Stop Event

1×	node limit

Counts

155 → 125

prune1.7s (1.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	294	11	305
Fresh	4	10	14
Picked	1	0	1
Done	0	0	0
Total	299	21	320

Error

23.1b

Counts

320 → 21

Alt Table

Status	Error	Program
	53.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (log.f64 (exp.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)))))))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	45.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	54.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (+.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2))))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)))))))) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2))))))) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2))))))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	54.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	54.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)) (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (log.f64 (exp.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	57.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (+.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (pow.f64 x-scale 4)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (pow.f64 x-scale 4))) (/.f64 (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (pow.f64 x-scale 4))))) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (pow.f64 x-scale 2)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 x-scale 2))))) (-.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	56.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))) (PI.f64)))
	62.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (pow.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) 3) 1/3) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a))))) y-scale)))) (PI.f64)))
	61.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 a 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 x-scale 4)) (/.f64 (pow.f64 a 4) (pow.f64 y-scale 4))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2))) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))))) (/.f64 (pow.f64 b 2) (pow.f64 x-scale 2))))) (.f64 angle (-.f64 (.f64 1/180 (.f64 (PI.f64) (pow.f64 b 2))) (.f64 1/180 (*.f64 (PI.f64) (pow.f64 a 2))))))))) (PI.f64)))
▶	36.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	55.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x-scale 2)) (.f64 1/32400 (/.f64 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)) (pow.f64 y-scale 2)))) (.f64 1/32400 (/.f64 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)) (pow.f64 x-scale 2)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	55.7b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	36.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (/.f64 -2 (pow.f64 x-scale 2))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	58.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	55.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (pow.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2))))))) 3) 1/3)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	46.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	53.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)))))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 x-scale 2) (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))))) (PI.f64)))
	62.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 y-scale (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	45.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (+.f64 (fma.f64 (.f64 (.f64 (/.f64 angle x-scale) (/.f64 angle x-scale)) (pow.f64 (PI.f64) 2)) 1/16200 (/.f64 -2 (.f64 x-scale x-scale))) (.f64 (.f64 (/.f64 (pow.f64 angle 4) x-scale) (/.f64 (pow.f64 (PI.f64) 4) x-scale)) -1/1574640000))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	41.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (fma.f64 (.f64 (.f64 (/.f64 angle x-scale) (/.f64 angle x-scale)) (pow.f64 (PI.f64) 2)) 1/16200 (/.f64 -2 (.f64 x-scale x-scale)))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	52.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))))))) (pow.f64 x-scale 2))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))

Compiler

Compiled 48635 to 33318 computations (31.5% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	12.0b	(.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))
	26.4b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	26.4b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
	26.8b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series94.0ms (0.1%)

Counts

2 → 48

Calls

2 calls:

91.0ms

(*.f64 x-scale (*.f64 1/2 (/.f64 (*.f64 y-scale (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) (*.f64 x-scale x-scale)) -2)) (*.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))

3.0ms

(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))

rewrite33.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

241×	`add-sqr-sqrt_binary64`
226×	`log1p-expm1-u_binary64`
226×	`expm1-log1p-u_binary64`
225×	`add-log-exp_binary64`
224×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	65
1	533	62

Stop Event

1×	node limit

Counts

2 → 34

Calls

2 calls:

32.0ms

(*.f64 x-scale (*.f64 1/2 (/.f64 (*.f64 y-scale (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) 2) (*.f64 x-scale x-scale)) -2)) (*.f64 (cos.f64 (*.f64 1/180 (*.f64 angle (PI.f64)))) (sin.f64 (*.f64 1/180 (*.f64 angle (PI.f64))))))))

32.0ms

(cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))

simplify45.0ms (0%)

Algorithm

1×	egg-herbie

Rules

492×	`associate-r_binary64`
435×	`fma-neg_binary64`
391×	`associate-l_binary64`
383×	`distribute-rgt-neg-in_binary64`
349×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1298
1	216	1292
2	714	1288
3	3488	1288

Stop Event

1×	node limit

Counts

82 → 54

prune342.0ms (0.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	88	11	99
Fresh	9	11	20
Picked	1	0	1
Done	0	0	0
Total	98	22	120

Error

17.8b

Counts

120 → 22

Alt Table

Status	Error	Program
	53.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (log.f64 (exp.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)))))))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	45.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	46.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	43.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) 1)))))) (PI.f64)))
	56.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))) (PI.f64)))
▶	35.2b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) 3)) (PI.f64)))
	41.7b	(.f64 180 (/.f64 (atan.f64 (-.f64 (.f64 1/540 (/.f64 (.f64 y-scale (.f64 angle (PI.f64))) x-scale)) (.f64 180 (/.f64 y-scale (.f64 x-scale (*.f64 angle (PI.f64))))))) (PI.f64)))
	37.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 1 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	38.7b	(.f64 180 (/.f64 (atan.f64 (.f64 -180 (/.f64 (/.f64 y-scale x-scale) (*.f64 angle (PI.f64))))) (PI.f64)))
	55.7b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	36.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (/.f64 -2 (pow.f64 x-scale 2))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	39.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 angle (*.f64 (PI.f64) 1/180))))))) (PI.f64)))
	58.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))))))) (fma.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2) (hypot.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 x-scale -2)) (.f64 (pow.f64 (hypot.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b)) 2) (pow.f64 y-scale -2))) (.f64 (/.f64 2 y-scale) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 (/.f64 x-scale (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	55.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (pow.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2))))))) 3) 1/3)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	36.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	54.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	43.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (log.f64 (exp.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))))) (PI.f64)))
	57.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (+.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (pow.f64 x-scale 4)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (pow.f64 x-scale 4))) (/.f64 (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (pow.f64 x-scale 4))))) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (pow.f64 x-scale 2)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 x-scale 2))))) (-.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	40.5b	(.f64 180 (/.f64 (atan.f64 (log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 y-scale (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1/2) x-scale))) (PI.f64)))
	40.3b	(.f64 180 (/.f64 (atan.f64 (sqrt.f64 (pow.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) 2))) (PI.f64)))
	36.9b	(.f64 180 (/.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 y-scale (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 x-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (PI.f64)))
	52.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))))))) (pow.f64 x-scale 2))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))

Compiler

Compiled 8390 to 5807 computations (30.8% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	12.0b	(.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))
✓	15.0b	(cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180)))))))
	26.4b	(cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))
✓	26.7b	(sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))

series246.0ms (0.2%)

Counts

3 → 56

Calls

3 calls:

155.0ms

(cbrt.f64 (*.f64 x-scale (/.f64 (*.f64 1/2 (*.f64 y-scale (*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))

88.0ms

(*.f64 x-scale (/.f64 (*.f64 1/2 (*.f64 y-scale (*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))

3.0ms

(sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))

rewrite39.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

227×	`add-sqr-sqrt_binary64`
212×	`log1p-expm1-u_binary64`
212×	`expm1-log1p-u_binary64`
211×	`add-cube-cbrt_binary64`
211×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
1	465	116

Stop Event

1×	node limit

Counts

3 → 55

Calls

3 calls:

38.0ms

(*.f64 x-scale (/.f64 (*.f64 1/2 (*.f64 y-scale (*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))))))

38.0ms

(cbrt.f64 (*.f64 x-scale (/.f64 (*.f64 1/2 (*.f64 y-scale (*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (*.f64 (cos.f64 (*.f64 angle (*.f64 (PI.f64) 1/180))) (sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))))))

38.0ms

(sin.f64 (*.f64 angle (*.f64 (PI.f64) 1/180)))

simplify47.0ms (0%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-neg_binary64`
354×	`associate-r_binary64`
311×	`distribute-rgt-neg-in_binary64`
307×	`distribute-lft-neg-in_binary64`
277×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1606
1	210	1596
2	697	1594
3	3066	1580

Stop Event

1×	node limit

Counts

111 → 76

prune454.0ms (0.3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	119	13	132
Fresh	6	15	21
Picked	0	1	1
Done	0	0	0
Total	125	29	154

Error

17.4b

Counts

154 → 29

Alt Table

Status	Error	Program
	53.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (log.f64 (exp.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale -2)) (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale -2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale -4) (-.f64 (fma.f64 3 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale -4))) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 x-scale y-scale) -2)))))))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	45.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 y-scale y-scale)) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	41.0b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (.f64 (/.f64 (.f64 1/2 y-scale) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) x-scale) 2) -2) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180)))))) 2)) 3)) (PI.f64)))
	35.8b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (/.f64 (/.f64 (neg.f64 y-scale) x-scale) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) 3)) (PI.f64)))
	36.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 3) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	36.5b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x-scale (.f64 (/.f64 (.f64 1/2 y-scale) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) x-scale) 2) -2) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180))))))) 3) 3)) (PI.f64)))
	37.0b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 -1 (/.f64 (.f64 y-scale (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 x-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) 3)) (PI.f64)))
	46.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	43.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) 1)))))) (PI.f64)))
	45.8b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) y-scale) (.f64 x-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) 1/3) (cbrt.f64 -1)) 3)) (PI.f64)))
	40.5b	(.f64 180 (/.f64 (atan.f64 (log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 y-scale (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))) 1/2) x-scale))) (PI.f64)))
	35.7b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)))))))) 3)) (PI.f64)))
	56.2b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale))) (PI.f64)))
✓	35.2b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) 3)) (PI.f64)))
	38.2b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (fma.f64 (.f64 angle (.f64 angle (pow.f64 (PI.f64) 2))) -1/64800 1) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180))))))) 3)) (PI.f64)))
	37.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 1 (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	55.7b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 x-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 x-scale 2) (pow.f64 y-scale 2)))) (/.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 y-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2))))) (/.f64 (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 x-scale 2))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	36.9b	(.f64 180 (/.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 y-scale (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 x-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (PI.f64)))
	50.3b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 x-scale) (.f64 (/.f64 (.f64 1/2 y-scale) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) x-scale) 2) -2) (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180))))))) 3)) (PI.f64)))
	37.5b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y-scale x-scale) (-.f64 (.f64 (.f64 angle (PI.f64)) 1/540) (/.f64 180 (*.f64 angle (PI.f64)))))) 3)) (PI.f64)))
	36.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (/.f64 -2 (pow.f64 x-scale 2))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))))))) (PI.f64)))
	39.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 2) (.f64 x-scale x-scale)) -2)) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 angle (*.f64 (PI.f64) 1/180))))))) (PI.f64)))
	37.2b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x-scale (.f64 (/.f64 (.f64 1/2 y-scale) (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180))) (/.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) x-scale) 2) -2) (sin.f64 (.f64 (*.f64 angle (PI.f64)) 1/180))))))))) 3)) (PI.f64)))
	39.9b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 -180 (/.f64 (/.f64 (/.f64 y-scale angle) x-scale) (PI.f64)))) 3)) (PI.f64)))
	54.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale)) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) (.f64 y-scale y-scale))) (.f64 (/.f64 2 y-scale) (/.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))))))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	57.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (+.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (pow.f64 x-scale 4)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))) (pow.f64 x-scale 4))) (/.f64 (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (pow.f64 x-scale 4))))) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (pow.f64 x-scale 2)) (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 x-scale 2))))) (-.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	37.8b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) 2))) (sin.f64 (.f64 angle (*.f64 (PI.f64) 1/180))))))) 3)) (PI.f64)))
	40.9b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 1/2 (.f64 y-scale (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) x-scale) 2) -2))) (.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 angle (PI.f64)) 1/180)) 2)))))) 3)) (PI.f64)))
	52.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 b 2)) (sqrt.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 b 4)) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4))))))) (pow.f64 x-scale 2))) (/.f64 (.f64 (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))

Compiler

Compiled 7790 to 5700 computations (26.8% saved)

regimes3.6s (2.4%)

Compiler: Compiled 119168 to 83634 computations (29.8% saved)

Details

analyze22.3s (14.9%)

sample54.1s (36.1%)

simplify21.0ms (0%)

prune17.0ms (0%)

localize49.0ms (0%)

series51.6s (34.4%)

rewrite111.0ms (0.1%)

simplify3.7s (2.5%)

prune10.4s (6.9%)

localize47.0ms (0%)

series911.0ms (0.6%)

rewrite87.0ms (0.1%)

simplify59.0ms (0%)

prune1.7s (1.1%)

localize25.0ms (0%)

series94.0ms (0.1%)

rewrite33.0ms (0%)

simplify45.0ms (0%)

prune342.0ms (0.2%)

localize23.0ms (0%)

series246.0ms (0.2%)

rewrite39.0ms (0%)

simplify47.0ms (0%)

prune454.0ms (0.3%)

regimes3.6s (2.4%)

Profiling