Details

analyze23.2s (15.4%)

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
4.7%	95.1%	0.2%	9
7%	92.7%	0.2%	10
11.1%	88.7%	0.2%	11
11.2%	88.6%	0.2%	12
11.5%	88.2%	0.2%	13
12.7%	87.1%	0.2%	14

Compiler

Compiled 175 to 127 computations (27.4% saved)

sample52.9s (35.3%)

Results

19.6s	1686×	body	4096	valid
11.1s	1447×	body	2048	valid
10.1s	1599×	body	1024	valid
5.4s	73×	body	8192	exit
3.3s	778×	body	512	valid
2.5s	2433×	body	128	valid
830.0ms	313×	body	256	valid

Compiler

Compiled 350 to 254 computations (27.4% saved)

preprocess70.0ms (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

prune16.0ms (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

51.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	51.7b	(.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)))
	54.7b	(.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

▶

51.7b

(*.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)))

54.7b

(*.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)

localize48.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	14.8b	(/.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))
✓	23.5b	(-.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)))))))))
✓	24.5b	(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))
✓	24.9b	(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))

series50.7s (33.8%)

Counts

4 → 144

Calls

36 calls:

8.1s	(/.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
3.2s	(/.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))	b	0
2.9s	(/.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
2.8s	(-.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
2.6s	(/.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

rewrite118.0ms (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

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

234 → 187

prune10.3s (6.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	396	11	407
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	397	12	409

Error

35.4b

Counts

409 → 12

Alt Table

Status	Error	Program
	51.7b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 3) (-.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)))
	50.4b	(.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)))
	52.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (fma.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 (/.f64 2 y-scale) (.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 1/180) (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)))
	61.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (/.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 (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)))))) (pow.f64 y-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)))
	54.7b	(.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)))
	53.6b	(.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)))
	52.0b	(.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 (-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (-.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)))
	52.2b	(.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 1 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	61.6b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (.f64 (pow.f64 a 2) (-.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 y-scale 2) (pow.f64 x-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 x-scale 2) (pow.f64 y-scale 2))))) (/.f64 (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)))
▶	49.4b	(.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 (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)))
	59.9b	(.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)))
	56.2b	(.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)))

Compiler

Compiled 399212 to 281614 computations (29.5% saved)

localize48.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	18.3b	(.f64 (pow.f64 a 2) (.f64 (pow.f64 b 2) (pow.f64 (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2)))
✓	18.7b	(/.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))))))))
✓	24.5b	(sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))
✓	24.9b	(cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))

series1.3s (0.9%)

Counts

4 → 60

Calls

30 calls:

144.0ms	(/.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
141.0ms	(/.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
117.0ms	(/.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
117.0ms	(/.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	0

rewrite55.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`log1p-expm1-u_binary64`
441×	`expm1-log1p-u_binary64`
407×	`pow1_binary64`
162×	`log-prod_binary64`
143×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	199
1	950	193

Stop Event

1×	node limit

Counts

4 → 62

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

842×	`times-frac_binary64`
448×	`associate-/l*_binary64`
357×	`fma-def_binary64`
304×	`*-commutative_binary64`
178×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	11670
1	1937	10826

Stop Event

1×	node limit

Counts

122 → 113

prune1.2s (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	241	7	248
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	246	14	260

Error

14.6b

Counts

260 → 14

Alt Table

Status	Error	Program
	42.7b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (log.f64 (pow.f64 (exp.f64 (/.f64 y-scale (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 1/180 (.f64 angle (PI.f64))))) 2)) (sqrt.f64 (+.f64 (fma.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.f64)))) 2) (pow.f64 (.f64 a (.f64 b (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) 2)) (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)))) (.f64 (.f64 (.f64 x-scale x-scale) (fma.f64 b b (neg.f64 (.f64 a a)))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	52.3b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (/.f64 (fma.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 (/.f64 2 y-scale) (.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 1/180) (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)))
	54.7b	(.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)))
	53.6b	(.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)))
	52.0b	(.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 (-.f64 (.f64 1/180 (.f64 angle (PI.f64))) (.f64 1/34992000 (.f64 (pow.f64 angle 3) (pow.f64 (PI.f64) 3)))) (-.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)))
	36.4b	(.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)))
	56.2b	(.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)))
	52.2b	(.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 1 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	51.7b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 3) (-.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)))
	49.4b	(.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 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.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)))
	43.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (neg.f64 (.f64 2 (+.f64 (.f64 (/.f64 y-scale (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (.f64 x-scale x-scale))) (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (+.f64 (.f64 (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (/.f64 (.f64 (.f64 a a) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (.f64 b b))))))))))) (PI.f64)))
	35.1b	(.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)))
▶	35.1b	(.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)))
	49.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (.f64 b b) (sqrt.f64 (fma.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (.f64 (.f64 (.f64 a a) (.f64 b b)) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 4) (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 4))))))) (.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (.f64 b b)) (.f64 (.f64 a a) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))))) (PI.f64)))

Compiler

Compiled 37286 to 25267 computations (32.2% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 y-scale (*.f64 x-scale x-scale))
✓	13.9b	(.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))))))))
✓	24.5b	(sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))
✓	25.0b	(cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))

series110.0ms (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))))))))	x-scale	0
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))))))))	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))))))))	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))))))))	y-scale	0
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

rewrite36.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

202×	`add-sqr-sqrt_binary64`
200×	`associate-r_binary64`
188×	`add-log-exp_binary64`
188×	`log1p-expm1-u_binary64`
188×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	406	49

Stop Event

1×	node limit

Counts

4 → 82

simplify60.0ms (0%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
619×	`associate-r_binary64`
505×	`associate-l_binary64`
224×	`fma-def_binary64`
190×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1668
1	273	1658
2	919	1652
3	4861	1652

Stop Event

1×	node limit

Counts

166 → 114

prune296.0ms (0.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	109	19	128

Error

12.3b

Counts

128 → 19

Alt Table

Status	Error	Program
	40.4b	(.f64 180 (/.f64 (atan.f64 (fma.f64 -180 (/.f64 y-scale (.f64 (.f64 angle (PI.f64)) x-scale)) (/.f64 (.f64 (.f64 angle (PI.f64)) (.f64 y-scale 1/540)) x-scale))) (PI.f64)))
	51.7b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 3) (-.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)))
	42.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (exp.f64 (log.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)))
	34.7b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 y-scale x-scale) (/.f64 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) (PI.f64)))
	39.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (log.f64 (pow.f64 (exp.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)))
	57.8b	(.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)))
	35.9b	(.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)))
	45.7b	(.f64 180 (/.f64 (atan.f64 (exp.f64 (log.f64 (.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 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)))
	52.2b	(.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 1 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	49.4b	(.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 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 1/180 (.f64 angle (PI.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)))
	34.1b	(.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 angle (.f64 (PI.f64) 1/180))))))))) (PI.f64)))
	43.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (neg.f64 (.f64 2 (+.f64 (.f64 (/.f64 y-scale (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (.f64 x-scale x-scale))) (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (+.f64 (.f64 (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (/.f64 (.f64 (.f64 a a) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (.f64 b b))))))))))) (PI.f64)))
	33.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 y-scale x-scale) (/.f64 1 x-scale)) (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	53.6b	(.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)))
	35.1b	(.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)))
▶	33.8b	(.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)))
	49.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (.f64 b b) (sqrt.f64 (fma.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (.f64 (.f64 (.f64 a a) (.f64 b b)) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 4) (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 4))))))) (.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (.f64 b b)) (.f64 (.f64 a a) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))))) (PI.f64)))
	35.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 3)) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))

Compiler

Compiled 6224 to 4323 computations (30.5% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))
	5.9b	(/.f64 y-scale (*.f64 x-scale x-scale))
✓	13.7b	(.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))))))))
	24.5b	(sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))

series155.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

15.0ms	(.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	y-scale	0
15.0ms	(.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	y-scale	inf
14.0ms	(.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	y-scale	-inf
13.0ms	(.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	angle	inf
12.0ms	(.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 1 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))))	angle	-inf

rewrite34.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

193×	`add-sqr-sqrt_binary64`
180×	`log1p-expm1-u_binary64`
180×	`expm1-log1p-u_binary64`
179×	`add-cbrt-cube_binary64`
179×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	400	41

Stop Event

1×	node limit

Counts

2 → 78

simplify53.0ms (0%)

Algorithm

1×	egg-herbie

Rules

596×	`cancel-sign-sub-inv_binary64`
450×	`fma-neg_binary64`
333×	`times-frac_binary64`
285×	`associate-r_binary64`
281×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	1536
1	189	1536
2	702	1530
3	3775	1530

Stop Event

1×	node limit

Counts

150 → 97

prune343.0ms (0.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	150	9	159
Fresh	6	12	18
Picked	1	0	1
Done	0	0	0
Total	157	21	178

Error

12.1b

Counts

178 → 21

Alt Table

Status	Error	Program
	37.0b	(.f64 180 (/.f64 (atan.f64 (fma.f64 -180 (/.f64 y-scale (.f64 x-scale (.f64 angle (PI.f64)))) (.f64 (.f64 (.f64 angle (PI.f64)) (/.f64 y-scale x-scale)) -1/1080))) (PI.f64)))
	51.7b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 angle 1/180) (PI.f64)))) 3) (-.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)))
	42.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (/.f64 (neg.f64 y-scale) (.f64 x-scale (.f64 x-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))))) (PI.f64)))
	34.1b	(.f64 180 (/.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 y-scale) x-scale) (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64)))))) (PI.f64)))
	38.9b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (log.f64 (pow.f64 (exp.f64 y-scale) (pow.f64 x-scale -2))) (/.f64 1 (sin.f64 (.f64 (*.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))
	57.8b	(.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)))
	35.9b	(.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)))
	44.2b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (exp.f64 (log.f64 (.f64 (/.f64 y-scale (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) (pow.f64 x-scale -2)))))))) (PI.f64)))
	33.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (.f64 (/.f64 y-scale x-scale) (/.f64 1 x-scale)) (/.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 (.f64 x-scale (.f64 -1/2 (.f64 2 (/.f64 (.f64 -1 (.f64 y-scale (pow.f64 x-scale -2))) (sin.f64 (.f64 1/180 (.f64 angle (PI.f64))))))))) (PI.f64)))
	45.7b	(.f64 180 (/.f64 (atan.f64 (exp.f64 (log.f64 (.f64 x-scale (/.f64 (.f64 y-scale (pow.f64 x-scale -2)) (tan.f64 (.f64 (*.f64 1/180 angle) (PI.f64)))))))) (PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x-scale (.f64 (/.f64 y-scale (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) (pow.f64 x-scale -2))))) 1)) (PI.f64)))
	52.2b	(.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 1 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))))) y-scale)))) (PI.f64)))
	49.3b	(.f64 180 (/.f64 (atan.f64 (exp.f64 (log.f64 (.f64 x-scale (.f64 (/.f64 y-scale (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) (pow.f64 x-scale -2)))))) (PI.f64)))
	34.7b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 y-scale x-scale) (/.f64 (neg.f64 (cos.f64 (.f64 angle (.f64 (PI.f64) 1/180)))) (sin.f64 (.f64 angle (.f64 (PI.f64) 1/180)))))) (PI.f64)))
	34.1b	(.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 angle (.f64 (PI.f64) 1/180))))))))) (PI.f64)))
	43.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (neg.f64 (.f64 2 (+.f64 (.f64 (/.f64 y-scale (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (.f64 x-scale x-scale))) (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (+.f64 (.f64 (/.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (/.f64 (.f64 (.f64 a a) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64)))) (.f64 b b))))))))))) (PI.f64)))
	58.0b	(.f64 180 (/.f64 (atan.f64 (pow.f64 (.f64 (sqrt.f64 x-scale) (/.f64 (sqrt.f64 (/.f64 y-scale (sin.f64 (.f64 1/180 (.f64 angle (PI.f64)))))) x-scale)) 2)) (PI.f64)))
	35.1b	(.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)))
	49.8b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (fma.f64 (.f64 a a) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (.f64 b b) (sqrt.f64 (fma.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2) (.f64 (.f64 (.f64 a a) (.f64 b b)) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 2))) (fma.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 4) (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 4))))))) (.f64 (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) (.f64 b b)) (.f64 (.f64 a a) (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))))) (PI.f64)))
	35.1b	(.f64 180 (/.f64 (atan.f64 (.f64 x-scale (.f64 -1/2 (.f64 2 (.f64 (/.f64 y-scale (.f64 x-scale x-scale)) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 1/180 angle) (PI.f64))) 3)) (sin.f64 (.f64 (.f64 1/180 angle) (PI.f64))))))))) (PI.f64)))

Compiler

Compiled 5540 to 3776 computations (31.8% saved)

regimes4.7s (3.1%)

Compiler: Compiled 128569 to 90457 computations (29.6% saved)

Details

analyze23.2s (15.4%)

sample52.9s (35.3%)

preprocess70.0ms (0%)

simplify22.0ms (0%)

prune16.0ms (0%)

localize48.0ms (0%)

series50.7s (33.8%)

rewrite118.0ms (0.1%)

simplify4.1s (2.7%)

prune10.3s (6.9%)

localize48.0ms (0%)

series1.3s (0.9%)

rewrite55.0ms (0%)

simplify141.0ms (0.1%)

prune1.2s (0.8%)

localize17.0ms (0%)

series110.0ms (0.1%)

rewrite36.0ms (0%)

simplify60.0ms (0%)

prune296.0ms (0.2%)

localize17.0ms (0%)

series155.0ms (0.1%)

rewrite34.0ms (0%)

simplify53.0ms (0%)

prune343.0ms (0.2%)

regimes4.7s (3.1%)

Profiling