Metrics for b from scale-rotated-ellipse

analyze5.7s (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 189 to 125 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.2s

Operation ival-mult, time spent: 1.2s, 28.0% of total-time

Operation ival-pow, time spent: 785.0ms, 19.0% of total-time

Operation ival-sin, time spent: 685.0ms, 16.0% of total-time

Operation ival-div, time spent: 611.0ms, 14.0% of total-time

Operation ival-cos, time spent: 464.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 160.0ms, 4.0% of total-time

Operation ival-add, time spent: 146.0ms, 3.0% of total-time

Operation const, time spent: 68.0ms, 2.0% of total-time

Operation ival-sub, time spent: 66.0ms, 2.0% of total-time

Operation ival-neg, time spent: 42.0ms, 1.0% of total-time

Operation ival-pi, time spent: 20.0ms, 0.0% of total-time

sample1.2min (48%)

Results

32.0s	3735×	4096	valid
11.8s	2105×	2048	valid
17.9s	1054×	8192	valid
3.1s	811×	1024	valid
595.0ms	298×	512	valid
147.0ms	149×	256	valid
113.0ms	35×	1024	infinite
60.0ms	29×	512	infinite
170.0ms	26×	2048	infinite
11.0ms	13×	256	infinite
3.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 59.5s

Operation ival-sin, time spent: 16.6s, 28.0% of total-time

Operation ival-cos, time spent: 13.6s, 23.0% of total-time

Operation ival-mult, time spent: 10.3s, 17.0% of total-time

Operation ival-div, time spent: 8.5s, 14.0% of total-time

Operation ival-pow, time spent: 5.6s, 9.0% of total-time

Operation ival-add, time spent: 1.8s, 3.0% of total-time

Operation ival-sqrt, time spent: 1.2s, 2.0% of total-time

Operation ival-sub, time spent: 747.0ms, 1.0% of total-time

Operation const, time spent: 600.0ms, 1.0% of total-time

Operation ival-neg, time spent: 351.0ms, 1.0% of total-time

Operation ival-pi, time spent: 173.0ms, 0.0% of total-time

Bogosity

preprocess44.8s (29.8%)

Algorithm

1×	egg-herbie

Rules

1318×	`fma-define`
1314×	`associate-l`
1290×	`associate-r`
778×	`*-commutative`
560×	`times-frac`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
176	0	-	0	-	(-.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)) (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))))
163	0	-	0	-	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
123	0	-	0	-	`(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))`
123	0	-	0	-	`(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))`
65	0	-	0	-	`(/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))`
58	0	-	1	(3.3023939831636953e-273 2.7667880431299913e-92 -3.575604159633405e+167 1.0890240940000293e+30 1.2615896823722545e-11)	(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)))
48	0	-	0	-	`(-.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))`
39	0	-	1	(1.8170948645140998e-228 1.3589093979683033e+175 4.150386488844421e+146 1.4106976031043217e-76 4.338882230943622e-50)	(sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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))))))
32	0	-	2	(1.3875715978320087e-158 4.285136567693653e-243 -2.913868895049808e-226 2.05644681969123e+25 1.0606466873422665e-283)	`(/.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)`
30	0	-	0	-	`(/.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)`
30	0	-	0	-	`(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))`
29	0	-	1	(2.2949674715628235e+50 2.8644375265175094e-210 -1.9820356338331723e-204 2.309079890017741e-234 1.6928158319892973e-131)	`(/.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)`
27	0	-	0	-	(.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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)))))
26	0	-	0	-	`(.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a))))`
20	0	-	0	-	`(/.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)`
18	0	-	0	-	`(-.f64 (pow.f64 b 2) (pow.f64 a 2))`
15	0	-	0	-	`(/.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)`
12	0	-	1	(2.239868203784826e-185 4.469431756003508e-227 2.910760589602439e+283 4.620696746483119e+230 2.5103180272971075e-57)	`(/.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)`
0	0	-	0	-	(+.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))
0	0	-	0	-	`(+.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))`
0	90	(6.115892826290281e-149 2.694854845821185e+21 -3.930501042729979e-108 1.5057653710809713e+71 1.1468206965031207e+78)	0	-	`(pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)`
0	0	-	0	-	`y-scale`
0	0	-	0	-	`180`
0	65	(1.0573763163077824e-9 5.6687126231331575e+23 3.004658967386523e+207 0.11986683175145364 5.180976232283768e-111)	0	-	`(pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)`
0	0	-	0	-	`(PI.f64)`
0	0	-	0	-	`(*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))`
0	0	-	0	-	`(.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))))`
0	0	-	0	-	`(.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))`
0	21	(6.115892826290281e-149 2.694854845821185e+21 -3.930501042729979e-108 1.5057653710809713e+71 1.1468206965031207e+78)	0	-	`(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)`
0	0	-	0	-	`(+.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))`
0	0	-	0	-	`a`
0	83	(1.0573763163077824e-9 5.6687126231331575e+23 3.004658967386523e+207 0.11986683175145364 5.180976232283768e-111)	0	-	`(pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)`
0	0	-	0	-	`(.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))`
0	0	-	0	-	`(*.f64 (/.f64 angle 180) (PI.f64))`
0	0	-	0	-	`(.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a))))`
0	0	-	0	-	`b`
0	0	-	0	-	`(/.f64 angle 180)`
0	47	(8.568815696691442e-99 1.859570968530824e+153 7.983421727920983e-244 4.541334919424009e-117 6.453533383227635e+279)	0	-	`(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)`
0	0	-	0	-	`angle`
0	0	-	0	-	`(+.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))`
0	66	(3.6625799882284914e+31 1.6412172591017276e-258 3.7260742480538554e+304 4.648261122718079e-110 1.690031348422458e-256)	0	-	`(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)`
0	0	-	0	-	`(neg.f64 a)`
0	0	-	0	-	`(*.f64 b (neg.f64 a))`
0	0	-	0	-	`(.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64))))`
0	0	-	0	-	`(*.f64 x-scale y-scale)`
0	0	-	0	-	`(.f64 (.f64 b a) (*.f64 b (neg.f64 a)))`
0	0	-	0	-	`(.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64))))`
0	0	-	0	-	`(pow.f64 b 2)`
0	0	-	0	-	(neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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)))))))
0	0	-	0	-	`(.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2)))`
0	86	(1.0573763163077824e-9 5.6687126231331575e+23 3.004658967386523e+207 0.11986683175145364 5.180976232283768e-111)	0	-	`(pow.f64 (*.f64 x-scale y-scale) 2)`
0	0	-	0	-	`4`
0	0	-	0	-	`2`
0	0	-	0	-	`(pow.f64 a 2)`
0	0	-	0	-	`(*.f64 b a)`
0	0	-	0	-	`x-scale`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	15778
1	1713	14720
2	7525	14720

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.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 (neg.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.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 (neg.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 (neg.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 4 (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (neg.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 (neg.f64 b) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-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 (neg.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 (neg.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 (neg.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 4 (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (neg.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 (neg.f64 angle) 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 (neg.f64 x-scale) y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (neg.f64 x-scale)) (neg.f64 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)) (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)) (neg.f64 x-scale)) (neg.f64 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)))) (neg.f64 x-scale)) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 (neg.f64 x-scale) y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale (neg.f64 y-scale)) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (neg.f64 y-scale)) (neg.f64 y-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)) (neg.f64 y-scale)) (neg.f64 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) (neg.f64 y-scale)) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale (neg.f64 y-scale)) 2)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.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 (neg.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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (neg.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 (neg.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 (neg.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 4 (.f64 (.f64 b (neg.f64 a)) (.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 (neg.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 (neg.f64 b) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-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 (neg.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 (neg.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 (neg.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 4 (.f64 (.f64 (neg.f64 b) a) (.f64 (neg.f64 b) (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 (neg.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 (neg.f64 angle) 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 (neg.f64 angle) 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 (neg.f64 x-scale) y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (neg.f64 x-scale)) (neg.f64 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)) (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)) (neg.f64 x-scale)) (neg.f64 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)))) (neg.f64 x-scale)) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 (neg.f64 x-scale) y-scale) 2))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale (neg.f64 y-scale)) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (neg.f64 y-scale)) (neg.f64 y-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)) (neg.f64 y-scale)) (neg.f64 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) (neg.f64 y-scale)) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale (neg.f64 y-scale)) 2))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 a b) (.f64 a (neg.f64 b)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 a b) (.f64 a (neg.f64 b)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 a (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 a 2) (pow.f64 b 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 a b) (.f64 a (neg.f64 b)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b angle) (.f64 b (neg.f64 angle)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b angle) (.f64 b (neg.f64 angle)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 angle 2))) (sin.f64 (.f64 (/.f64 a 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 a 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b angle) (.f64 b (neg.f64 angle)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b x-scale) (.f64 b (neg.f64 x-scale)))) (pow.f64 (.f64 a y-scale) 2))) (.f64 (.f64 b x-scale) (.f64 b (neg.f64 x-scale)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (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)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x-scale (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 x-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) a) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b x-scale) (.f64 b (neg.f64 x-scale)))) (pow.f64 (*.f64 a y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b y-scale) (.f64 b (neg.f64 y-scale)))) (pow.f64 (.f64 x-scale a) 2))) (.f64 (.f64 b y-scale) (.f64 b (neg.f64 y-scale)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (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 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y-scale (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 y-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) a) a)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 y-scale 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) a) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b y-scale) (.f64 b (neg.f64 y-scale)))) (pow.f64 (*.f64 x-scale a) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2) (pow.f64 (.f64 angle (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) 2)) y-scale) y-scale)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 angle 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 b 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 b 180) (PI.f64)))) x-scale) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 angle a) (.f64 angle (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (pow.f64 (.f64 b y-scale) 2))) (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) y-scale) y-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 x-scale (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 x-scale (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 x-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) b) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 x-scale a) (.f64 x-scale (neg.f64 a)))) (pow.f64 (*.f64 b y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (pow.f64 (.f64 x-scale b) 2))) (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (.f64 y-scale (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 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)) (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 y-scale (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 y-scale (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)) b) b)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 y-scale 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) x-scale) b) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 y-scale a) (.f64 y-scale (neg.f64 a)))) (pow.f64 (*.f64 x-scale b) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 angle y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 x-scale 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 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 angle y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale angle) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale x-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) y-scale) y-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)) 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)) y-scale) y-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)) x-scale) x-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)))) y-scale) x-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) 2)))

Outputs
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
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(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 angle y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2)) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 x-scale 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 x-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 x-scale 180) (PI.f64)))) angle) y-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 angle y-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (.f64 2 (.f64 4 (/.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale angle) 2))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2)) (pow.f64 angle 2)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2)) (pow.f64 y-scale 2)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2)) (pow.f64 angle 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180)))) 2)) (pow.f64 y-scale 2))) 2) (pow.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 x-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 x-scale 180))))) (.f64 y-scale angle)) 2)))))))) (.f64 4 (/.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale angle) 2))))
(.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b (.f64 (.f64 (neg.f64 (pow.f64 a 2)) b) (.f64 8 (.f64 (neg.f64 b) (/.f64 (.f64 b (pow.f64 a 2)) (pow.f64 (.f64 y-scale angle) 2)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 angle 2)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 angle 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 (.f64 x-scale (/.f64 (PI.f64) 180))) (cos.f64 (.f64 x-scale (/.f64 (PI.f64) 180)))) (.f64 y-scale angle)))))))) (.f64 (neg.f64 b) (/.f64 (.f64 b (pow.f64 a 2)) (pow.f64 (.f64 y-scale angle) 2)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale angle) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) 2)) angle) angle)) 2) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) (cos.f64 (.f64 (/.f64 y-scale 180) (PI.f64)))) x-scale) angle) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (.f64 4 (/.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale angle) 2))) (.f64 b (.f64 a (.f64 b (neg.f64 a)))))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (pow.f64 angle 2))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180)))) 2)) (pow.f64 angle 2))) 2) (pow.f64 (/.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 (sin.f64 (.f64 (PI.f64) (/.f64 y-scale 180))) (cos.f64 (.f64 (PI.f64) (/.f64 y-scale 180))))) (.f64 x-scale angle)) 2))))))) (.f64 4 (/.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale angle) 2))))
(.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b (.f64 (neg.f64 (pow.f64 a 2)) b)) (.f64 (.f64 8 (/.f64 (.f64 b (.f64 (neg.f64 (pow.f64 a 2)) b)) (pow.f64 (.f64 x-scale angle) 2))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 angle 2)) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) 2)) (pow.f64 angle 2))) (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (/.f64 (.f64 (sin.f64 (.f64 y-scale (/.f64 (PI.f64) 180))) (cos.f64 (.f64 y-scale (/.f64 (PI.f64) 180)))) (.f64 x-scale angle))))))))) (/.f64 (.f64 b (.f64 (neg.f64 (pow.f64 a 2)) b)) (pow.f64 (.f64 x-scale angle) 2))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 y-scale x-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) y-scale) y-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)) 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)) y-scale) y-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)) x-scale) x-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)))) y-scale) x-scale) 2))))))) (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) 2)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (/.f64 (.f64 4 (.f64 b (.f64 a (.f64 b (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) 2)) (.f64 b (.f64 a (.f64 b (neg.f64 a)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 y-scale 2)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 x-scale 2)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180)) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))))) (.f64 x-scale y-scale)) 2) (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 y-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 x-scale 2))) 2)))))))) (/.f64 (.f64 4 (.f64 b (.f64 a (.f64 b (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) 2)))
(.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b (.f64 (.f64 (neg.f64 (pow.f64 a 2)) b) (.f64 8 (.f64 b (/.f64 (.f64 (neg.f64 (pow.f64 a 2)) b) (pow.f64 (.f64 x-scale y-scale) 2)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (hypot.f64 (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 x-scale y-scale))) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)))))))) (.f64 b (/.f64 (.f64 (neg.f64 (pow.f64 a 2)) b) (pow.f64 (.f64 x-scale y-scale) 2)))))

Symmetry

(abs a)

(abs b)

(abs x-scale)

(abs y-scale)

Compiler

Compiled 3426 to 2230 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.4s

Operation ival-sin, time spent: 11.8s, 31.0% of total-time

Operation ival-cos, time spent: 8.9s, 24.0% of total-time

Operation ival-mult, time spent: 5.9s, 16.0% of total-time

Operation ival-div, time spent: 4.7s, 13.0% of total-time

Operation ival-pow, time spent: 3.9s, 10.0% of total-time

Operation ival-add, time spent: 825.0ms, 2.0% of total-time

Operation ival-sub, time spent: 610.0ms, 2.0% of total-time

Operation const, time spent: 359.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 308.0ms, 1.0% of total-time

Operation ival-neg, time spent: 86.0ms, 0.0% of total-time

Operation ival-pi, time spent: 24.0ms, 0.0% of total-time

eval15.0ms (0%)

Compiler: Compiled 363 to 241 computations (33.6% saved)

prune9.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (-.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)) (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 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))
▶	0.1%	(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (/.f64 (.f64 4 (.f64 b (.f64 a (.f64 b (neg.f64 a))))) (pow.f64 (.f64 x-scale y-scale) 2))) (.f64 (.f64 b (.f64 a (.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 y-scale 2))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2) (pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))) 2)) (pow.f64 y-scale 2))) 2) (pow.f64 (/.f64 (.f64 (cos.f64 (/.f64 (.f64 angle (PI.f64)) 180)) (.f64 2 (.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (/.f64 (.f64 angle (PI.f64)) 180))))) (.f64 x-scale y-scale)) 2)))))))) (.f64 4 (.f64 b (.f64 a (.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2))
▶	0.2%	(.f64 -1/4 (/.f64 (sqrt.f64 (.f64 (.f64 b (.f64 (neg.f64 (pow.f64 a 2)) b)) (.f64 (.f64 8 (.f64 b (/.f64 (.f64 (neg.f64 (pow.f64 a 2)) b) (pow.f64 (.f64 x-scale y-scale) 2)))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (.f64 b (sin.f64 (.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2))) (.f64 (cos.f64 (.f64 angle (/.f64 (PI.f64) 180))) (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 angle (/.f64 (PI.f64) 180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (.f64 x-scale y-scale)))))))) (.f64 b (/.f64 (.f64 (neg.f64 (pow.f64 a 2)) b) (pow.f64 (.f64 x-scale y-scale) 2)))))

Status

Accuracy

Program

▶

0.0%

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (-.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)) (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 4 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2)))

▶

0.1%

(*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 b (*.f64 a (*.f64 b (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) 2))) (*.f64 (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2)) (pow.f64 y-scale 2))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2) (pow.f64 (*.f64 b (cos.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2) (pow.f64 (*.f64 b (sin.f64 (/.f64 (*.f64 angle (PI.f64)) 180))) 2)) (pow.f64 y-scale 2))) 2) (pow.f64 (/.f64 (*.f64 (cos.f64 (/.f64 (*.f64 angle (PI.f64)) 180)) (*.f64 2 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 a 2)) (sin.f64 (/.f64 (*.f64 angle (PI.f64)) 180))))) (*.f64 x-scale y-scale)) 2)))))))) (*.f64 4 (*.f64 b (*.f64 a (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) 2))

▶

0.2%

(*.f64 -1/4 (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (neg.f64 (pow.f64 a 2)) b)) (*.f64 (*.f64 8 (*.f64 b (/.f64 (*.f64 (neg.f64 (pow.f64 a 2)) b) (pow.f64 (*.f64 x-scale y-scale) 2)))) (-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180)))) 2)) (pow.f64 y-scale 2))) (*.f64 (cos.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (/.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) 180))) (-.f64 (pow.f64 b 2) (pow.f64 a 2)))) (*.f64 x-scale y-scale)))))))) (*.f64 b (/.f64 (*.f64 (neg.f64 (pow.f64 a 2)) b) (pow.f64 (*.f64 x-scale y-scale) 2)))))

Compiler

Compiled 556 to 372 computations (33.1% saved)

localize27.8s (18.5%)

Results

Compiler

Compiled 4951 to 3191 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.4s

Operation ival-sin, time spent: 8.2s, 32.0% of total-time

Operation ival-cos, time spent: 6.1s, 24.0% of total-time

Operation ival-mult, time spent: 3.6s, 14.0% of total-time

Operation ival-div, time spent: 2.9s, 12.0% of total-time

Operation ival-pow, time spent: 2.9s, 11.0% of total-time

Operation ival-add, time spent: 556.0ms, 2.0% of total-time

Operation ival-sub, time spent: 308.0ms, 1.0% of total-time

Operation const, time spent: 274.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 264.0ms, 1.0% of total-time

Operation composed, time spent: 166.0ms, 1.0% of total-time

Operation ival-neg, time spent: 56.0ms, 0.0% of total-time

Operation ival-pi, time spent: 6.0ms, 0.0% of total-time

analyze5.7s (3.8%)

sample1.2min (48%)

preprocess44.8s (29.8%)

eval15.0ms (0%)

prune9.0ms (0%)

localize27.8s (18.5%)

Profiling