Details

analyze22.0s (14.6%)

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)

sample52.7s (35.1%)

Results

19.1s	1669×	body	4096	valid
10.9s	1445×	body	2048	valid
10.4s	1689×	body	1024	valid
6.1s	82×	body	8192	exit
3.0s	727×	body	512	valid
2.4s	2383×	body	128	valid
869.0ms	343×	body	256	valid

Compiler

Compiled 350 to 254 computations (27.4% saved)

preprocess74.0ms (0%)

Algorithm

2×	egg-herbie

Rules

977×	`times-frac_binary64`
444×	`fma-def_binary64`
165×	`div-sub_binary64`
138×	`*-commutative_binary64`
118×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	3003
1	870	2915
2	2845	2915
0	5	5

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 174 to 126 computations (27.6% saved)

simplify22.0ms (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

prune19.0ms (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

51.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	51.3b	(.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 (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)))
	53.9b	(.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

▶

51.3b

(*.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 (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)))

53.9b

(*.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
✓	14.7b	(/.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))
✓	24.2b	(-.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)))))))))
✓	25.1b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	25.5b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

series52.1s (34.7%)

Counts

4 → 144

Calls

36 calls:

8.3s	(/.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))	angle	0
3.4s	(/.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))	b	0
3.0s	(/.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))	a	0
2.9s	(-.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)))))))))	angle	0
2.7s	(/.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))	b	inf

rewrite73.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	484
1	1042	484

Stop Event

1×	node limit

Counts

4 → 42

simplify4.1s (2.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10887	673290

Stop Event

1×	node limit

Counts

186 → 139

prune9.5s (6.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	265	14	279
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	266	15	281

Error

37.0b

Counts

281 → 15

Alt Table

Status	Error	Program
	53.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b) 2)) (.f64 y-scale y-scale)) (/.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 y-scale (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))))) (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) (pow.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) (pow.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b) 2)) (.f64 x-scale x-scale)) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) a) 2) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) b) 2)) (.f64 y-scale y-scale))) (.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 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (/.f64 y-scale (.f64 (cos.f64 (.f64 (.f64 angle 1/180) (PI.f64))) (.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))))))))) (PI.f64)))
	56.9b	(.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)))
	50.3b	(.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)))
	51.4b	(.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 (-.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))) 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)))
▶	49.2b	(.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)))
	57.6b	(.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)))
	61.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (-.f64 (+.f64 (.f64 1/2 (/.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 y-scale (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (+.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3) (.f64 y-scale (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (.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))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (+.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))) (/.f64 (.f64 y-scale (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 3)))) (.f64 (pow.f64 x-scale 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 y-scale (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))) (.f64 (pow.f64 x-scale 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (+.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 a 2)) (.f64 y-scale (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 y-scale (pow.f64 b 2))) (.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)))))))) (+.f64 (.f64 1/2 (.f64 (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 1 (.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)))))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 y-scale (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (.f64 (pow.f64 x-scale 2) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 y-scale (.f64 (pow.f64 a 4) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 (pow.f64 x-scale 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (+.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (+.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)))))) (/.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 y-scale (.f64 (pow.f64 b 4) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))) (.f64 (pow.f64 x-scale 2) (-.f64 (pow.f64 b 2) (pow.f64 a 2))))))))))))) (PI.f64)))
	61.4b	(.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)))
	53.4b	(.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)))
	61.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)) (pow.f64 y-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (/.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (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 a 2) (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)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))) (PI.f64)))
	53.9b	(.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)))
	51.4b	(.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 (.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64))))) (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (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)))
	57.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 -1 (+.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 a 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)) (pow.f64 x-scale 2)) (/.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 (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)))
	57.6b	(.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)))
	62.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)) (pow.f64 y-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (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 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (pow.f64 x-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 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 (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 377742 to 267914 computations (29.1% saved)

localize46.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	16.0b	(.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))))))
✓	22.5b	(/.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))))))))
✓	25.4b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	25.5b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series1.3s (0.9%)

Counts

4 → 84

Calls

33 calls:

149.0ms	(/.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))))))))	y-scale	-inf
143.0ms	(/.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))))))))	angle	0
131.0ms	(/.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))))))))	y-scale	inf
120.0ms	(/.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))))))))	x-scale	inf
115.0ms	(/.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))))))))	x-scale	-inf

rewrite51.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`pow1_binary64`
441×	`add-log-exp_binary64`
441×	`log1p-expm1-u_binary64`
441×	`expm1-log1p-u_binary64`
432×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	205
1	955	205

Stop Event

1×	node limit

Counts

4 → 35

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

842×	`times-frac_binary64`
447×	`associate-/l*_binary64`
407×	`fma-def_binary64`
314×	`*-commutative_binary64`
184×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	13024
1	1997	11574

Stop Event

1×	node limit

Counts

119 → 91

prune1.1s (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	183	7	190
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	192	13	205

Error

19.3b

Counts

205 → 13

Alt Table

Status	Error	Program
	53.4b	(.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)))
	50.4b	(.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 1 (.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)))
	38.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 -2 (/.f64 (.f64 y-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (pow.f64 x-scale 2))))))) (PI.f64)))
	53.9b	(.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)))
	56.9b	(.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)))
▶	37.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	62.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)) (pow.f64 y-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (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 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4)) (pow.f64 x-scale 4)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 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 (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)))
	47.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 (.f64 (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 4)))))))) (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 4))))))))) (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 4)))))))))))) (PI.f64)))
	57.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (-.f64 (+.f64 (.f64 1/4374000 (/.f64 (.f64 (pow.f64 x-scale 2) (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 4))))) (pow.f64 (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))) 2))) (+.f64 (.f64 2 (/.f64 (.f64 y-scale (pow.f64 b 2)) (.f64 angle (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2)))))))) (.f64 1/16200 (/.f64 (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (pow.f64 a 2)))) (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))))))) (+.f64 (.f64 1/16200 (/.f64 (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))) (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))))) (.f64 1/4374000 (/.f64 (.f64 (pow.f64 x-scale 2) (.f64 y-scale (.f64 angle (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (pow.f64 (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (*.f64 (PI.f64) (pow.f64 a 2))))) 2)))))))) (PI.f64)))
	61.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (/.f64 (.f64 y-scale (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 a 2)) (pow.f64 y-scale 2)) (+.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 4) (pow.f64 a 4)) (pow.f64 y-scale 4)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2))) (.f64 (pow.f64 y-scale 2) (pow.f64 x-scale 2)))) (/.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 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 (pow.f64 a 4) (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 a 2) (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)))) (.f64 (pow.f64 a 2) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))))))) (PI.f64)))
	38.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 -2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	38.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (/.f64 (.f64 y-scale (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (.f64 (pow.f64 x-scale 2) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (PI.f64)))
	51.4b	(.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 (-.f64 1 (.f64 1/64800 (.f64 (pow.f64 angle 2) (pow.f64 (PI.f64) 2)))) 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)))

Compiler

Compiled 31260 to 21007 computations (32.8% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.3b	(/.f64 y-scale (*.f64 x-scale x-scale))
✓	14.4b	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))
✓	25.1b	(cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))
✓	25.5b	(sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))

series115.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

12.0ms	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))	y-scale	0
11.0ms	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))	x-scale	0
11.0ms	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))	y-scale	inf
11.0ms	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))	y-scale	-inf
10.0ms	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))	x-scale	inf

rewrite35.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

203×	`add-sqr-sqrt_binary64`
200×	`associate-r_binary64`
196×	`*-un-lft-identity_binary64`
196×	`pow1_binary64`
188×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	406	49

Stop Event

1×	node limit

Counts

4 → 82

simplify59.0ms (0%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
619×	`associate-r_binary64`
507×	`associate-l_binary64`
231×	`fma-def_binary64`
189×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1668
1	273	1658
2	921	1652
3	4872	1652

Stop Event

1×	node limit

Counts

166 → 114

prune274.0ms (0.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	99	15	114
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	107	20	127

Error

15.7b

Counts

127 → 20

Alt Table

Status	Error	Program
	57.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (-.f64 (+.f64 (.f64 1/4374000 (/.f64 (.f64 (pow.f64 x-scale 2) (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 4))))) (pow.f64 (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))) 2))) (+.f64 (.f64 2 (/.f64 (.f64 y-scale (pow.f64 b 2)) (.f64 angle (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2)))))))) (.f64 1/16200 (/.f64 (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (pow.f64 a 2)))) (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))))))) (+.f64 (.f64 1/16200 (/.f64 (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))) (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))))) (.f64 1/4374000 (/.f64 (.f64 (pow.f64 x-scale 2) (.f64 y-scale (.f64 angle (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (pow.f64 (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (*.f64 (PI.f64) (pow.f64 a 2))))) 2)))))))) (PI.f64)))
	40.7b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (pow.f64 (pow.f64 (.f64 y-scale (pow.f64 x-scale -2)) 3) 1/3) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	40.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) (cbrt.f64 (pow.f64 x-scale 4))) (cbrt.f64 (.f64 y-scale (pow.f64 x-scale -2)))) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	42.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2)))))))) (PI.f64)))
	53.4b	(.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)))
	50.4b	(.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 1 (.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)))
▶	36.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	38.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 -2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	40.2b	(.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)))
	50.9b	(.f64 180 (/.f64 (atan.f64 (log.f64 (pow.f64 (exp.f64 x-scale) (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))) (PI.f64)))
	37.5b	(.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)))
	47.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 (.f64 (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 4)))))))) (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 4))))))))) (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 4)))))))))))) (PI.f64)))
	38.5b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	37.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 y-scale (pow.f64 x-scale -2))) 3) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	40.1b	(.f64 180 (/.f64 (atan.f64 (fma.f64 -180 (/.f64 y-scale (.f64 (PI.f64) (.f64 angle x-scale))) (.f64 (/.f64 y-scale x-scale) (.f64 (.f64 1/540 angle) (PI.f64))))) (PI.f64)))
	41.5b	(.f64 180 (/.f64 (atan.f64 (log1p.f64 (expm1.f64 (.f64 x-scale (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (*.f64 1/180 angle) (PI.f64)))))))) (PI.f64)))
	37.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (neg.f64 y-scale) x-scale))) (PI.f64)))
	37.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	58.4b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (.f64 (sqrt.f64 x-scale) (/.f64 (sqrt.f64 (/.f64 y-scale (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))))) x-scale)) 2)) (PI.f64)))
	41.5b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (*.f64 1/180 angle) (PI.f64)))))) 3)) (PI.f64)))

Compiler

Compiled 6362 to 4420 computations (30.5% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))
✓	14.4b	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))
	25.1b	(cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))
	25.5b	(sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))

series320.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

73.0ms	(.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))	y-scale	-inf
70.0ms	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	y-scale	-inf
18.0ms	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	y-scale	inf
17.0ms	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	y-scale	0
14.0ms	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	angle	inf

rewrite34.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

232×	`add-sqr-sqrt_binary64`
225×	`pow1_binary64`
224×	`*-un-lft-identity_binary64`
215×	`add-log-exp_binary64`
215×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	68
1	473	44

Stop Event

1×	node limit

Counts

2 → 50

simplify65.0ms (0%)

Algorithm

1×	egg-herbie

Rules

526×	`fma-neg_binary64`
375×	`distribute-neg-frac_binary64`
366×	`times-frac_binary64`
315×	`associate-/l*_binary64`
311×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	2310
1	225	2302
2	777	2300
3	4005	2298

Stop Event

1×	node limit

Counts

122 → 72

prune287.0ms (0.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	115	10	125
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	122	23	145

Error

15.7b

Counts

145 → 23

Alt Table

Status	Error	Program
	57.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (-.f64 (+.f64 (.f64 1/4374000 (/.f64 (.f64 (pow.f64 x-scale 2) (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 4))))) (pow.f64 (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))) 2))) (+.f64 (.f64 2 (/.f64 (.f64 y-scale (pow.f64 b 2)) (.f64 angle (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2)))))))) (.f64 1/16200 (/.f64 (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (pow.f64 a 2)))) (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))))))) (+.f64 (.f64 1/16200 (/.f64 (.f64 y-scale (.f64 angle (.f64 (pow.f64 (PI.f64) 2) (pow.f64 b 2)))) (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 a 2))))))) (.f64 1/4374000 (/.f64 (.f64 (pow.f64 x-scale 2) (.f64 y-scale (.f64 angle (.f64 (pow.f64 a 2) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 2)))))) (pow.f64 (-.f64 (.f64 1/180 (.f64 (pow.f64 x-scale 2) (.f64 (PI.f64) (pow.f64 b 2)))) (.f64 1/180 (.f64 (pow.f64 x-scale 2) (*.f64 (PI.f64) (pow.f64 a 2))))) 2)))))))) (PI.f64)))
	36.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (cbrt.f64 y-scale)) (.f64 (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))) x-scale)))))) (PI.f64)))
	37.5b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) (neg.f64 y-scale))) (PI.f64)))
	39.2b	(.f64 180 (/.f64 (atan.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 x-scale (.f64 -1 (/.f64 y-scale (.f64 (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (*.f64 x-scale x-scale))))))))) (PI.f64)))
	41.5b	(.f64 180 (/.f64 (atan.f64 (log1p.f64 (expm1.f64 (.f64 x-scale (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (*.f64 1/180 angle) (PI.f64)))))))) (PI.f64)))
	37.5b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	38.7b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (.f64 -1 (/.f64 y-scale (.f64 (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (*.f64 x-scale x-scale)))))) 3)) (PI.f64)))
	50.9b	(.f64 180 (/.f64 (atan.f64 (log.f64 (pow.f64 (exp.f64 x-scale) (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))) (PI.f64)))
	36.4b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))))))) (PI.f64)))
	40.6b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (pow.f64 (.f64 x-scale (.f64 -1 (/.f64 y-scale (.f64 (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (*.f64 x-scale x-scale))))) 3) 1/3)) (PI.f64)))
	37.0b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	41.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2)))))))) (PI.f64)))
	58.4b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (.f64 (sqrt.f64 x-scale) (/.f64 (sqrt.f64 (/.f64 y-scale (tan.f64 (.f64 (.f64 1/180 angle) (PI.f64))))) x-scale)) 2)) (PI.f64)))
	47.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 (.f64 (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 4)))))))) (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 4))))))))) (cbrt.f64 (/.f64 y-scale (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (.f64 x-scale x-scale)) (.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (-.f64 (.f64 b b) (.f64 a a)))) (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 2)) (sqrt.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (.f64 a a)) (pow.f64 (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) b) 4) (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 4)))))))))))) (PI.f64)))
	44.5b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) x-scale) (/.f64 (cbrt.f64 y-scale) x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))))))))) (PI.f64)))
	38.5b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	39.8b	(.f64 180 (/.f64 (atan.f64 (fma.f64 -180 (/.f64 y-scale (.f64 (PI.f64) (.f64 angle x-scale))) (.f64 (/.f64 (.f64 y-scale 1/540) x-scale) (.f64 angle (PI.f64))))) (PI.f64)))
	40.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y-scale) 2) (cbrt.f64 (pow.f64 x-scale 4))) (cbrt.f64 (.f64 y-scale (pow.f64 x-scale -2)))) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	50.4b	(.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 1 (.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)))
	40.1b	(.f64 180 (/.f64 (atan.f64 (fma.f64 -180 (/.f64 y-scale (.f64 (PI.f64) (.f64 angle x-scale))) (.f64 (/.f64 y-scale x-scale) (.f64 (.f64 1/540 angle) (PI.f64))))) (PI.f64)))
	38.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 -2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	37.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) (/.f64 (neg.f64 y-scale) x-scale))) (PI.f64)))
	41.5b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (cbrt.f64 (.f64 x-scale (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (*.f64 1/180 angle) (PI.f64)))))) 3)) (PI.f64)))

Compiler

Compiled 5694 to 3818 computations (32.9% saved)

regimes5.5s (3.7%)

Compiler: Compiled 186879 to 129072 computations (30.9% saved)

Details

analyze22.0s (14.6%)

sample52.7s (35.1%)

preprocess74.0ms (0%)

simplify22.0ms (0%)

prune19.0ms (0%)

localize49.0ms (0%)

series52.1s (34.7%)

rewrite73.0ms (0%)

simplify4.1s (2.7%)

prune9.5s (6.4%)

localize46.0ms (0%)

series1.3s (0.9%)

rewrite51.0ms (0%)

simplify141.0ms (0.1%)

prune1.1s (0.7%)

localize18.0ms (0%)

series115.0ms (0.1%)

rewrite35.0ms (0%)

simplify59.0ms (0%)

prune274.0ms (0.2%)

localize23.0ms (0%)

series320.0ms (0.2%)

rewrite34.0ms (0%)

simplify65.0ms (0%)

prune287.0ms (0.2%)

regimes5.5s (3.7%)

Profiling