Metrics for b from scale-rotated-ellipse

analyze5.3s (3.5%)

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: 3.6s

Operation ival-mult, time spent: 1.3s, 36.0% of total-time

Operation ival-pow, time spent: 600.0ms, 17.0% of total-time

Operation ival-div, time spent: 562.0ms, 16.0% of total-time

Operation ival-sin, time spent: 361.0ms, 10.0% of total-time

Operation ival-cos, time spent: 329.0ms, 9.0% of total-time

Operation ival-add, time spent: 132.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 96.0ms, 3.0% of total-time

Operation ival-sub, time spent: 60.0ms, 2.0% of total-time

Operation const, time spent: 60.0ms, 2.0% of total-time

Operation ival-neg, time spent: 58.0ms, 2.0% of total-time

Operation ival-pi, time spent: 20.0ms, 1.0% of total-time

sample1.6min (62.2%)

Results

33.9s	3154×	5	valid
16.0s	1879×	4	valid
27.9s	1549×	6	valid
4.6s	798×	3	valid
2.0s	461×	2	valid
570.0ms	234×	1	valid
81.0ms	76×	0	valid
593.0ms	47×	6	exit
146.0ms	30×	3	infinite
115.0ms	29×	2	infinite
163.0ms	23×	4	infinite
29.0ms	14×	1	infinite
9.0ms	8×	0	infinite
7.0ms	1×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3min

Operation ival-sin, time spent: 20.6s, 26.0% of total-time

Operation ival-cos, time spent: 16.1s, 20.0% of total-time

Operation ival-mult, time spent: 14.7s, 18.0% of total-time

Operation ival-div, time spent: 11.1s, 14.0% of total-time

Operation ival-pow, time spent: 7.4s, 9.0% of total-time

Operation ival-add, time spent: 4.0s, 5.0% of total-time

Operation ival-sub, time spent: 2.1s, 3.0% of total-time

Operation ival-sqrt, time spent: 1.6s, 2.0% of total-time

Operation const, time spent: 1.3s, 2.0% of total-time

Operation ival-neg, time spent: 544.0ms, 1.0% of total-time

Operation ival-pi, time spent: 243.0ms, 0.0% of total-time

Bogosity

preprocess49.3s (32.9%)

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
170	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))))
154	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)))
115	0	-	0	-	`(sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))`
115	0	-	0	-	`(cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))`
63	0	-	0	-	`(/.f64 (.f64 4 (.f64 (.f64 b a) (.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) 2))`
51	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))`
36	0	-	1	(1.3364166395199012e-161 1.238184800968524e-192 80003675201325060.0 9.529978993593278e+305 2.0103197092794334e-255)	`(/.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)`
34	0	-	2	(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)`
34	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)`
32	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))))))
31	0	-	0	-	`(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))))`
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)))))
23	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 (pow.f64 b 2) (pow.f64 a 2))`
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)`
15	0	-	15	(1.5536384582614382e-229 1.1661425503658207e+42 1.8718552126934435e+191 7.28523566025714e+220 3.535718111557226e+273)	`(PI.f64)`
13	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	-	2	(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	85	(6.776759262031542e+107 1.2850957951568895e+177 -2.219196583692837e-140 1.2296594530622801e+148 3.9915424856820645e-79)	0	-	`(pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)`
0	0	-	0	-	`y-scale`
0	0	-	0	-	`180`
0	64	(6.576959720332336e+166 2.3806996925126327e-70 -4.8612586184127327e+85 1.6745023815725023e+78 1.9228543154986728e+307)	0	-	`(pow.f64 (.f64 b (sin.f64 (.f64 (/.f64 angle 180) (PI.f64)))) 2)`
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	17	(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	76	(6.134521584601093e-181 8.446668099635532e-33 7.995023774998268e+214 6.457018713604485e-62 2.36190552867336e-156)	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	43	(2.025008911870863e-172 1.0173877637476891e-286 1.0841152422254363e+111 1.060012907473184e-203 5.9019289221258896e-260)	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	57	(6.134505940804432e+229 6.679952947804781e+161 5.011262374848518e-109 3.5049201178999133e+74 5.143857083579793e+232)	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	76	(6.776759262031542e+107 1.2850957951568895e+177 -2.219196583692837e-140 1.2296594530622801e+148 3.9915424856820645e-79)	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 2228 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.9s

Operation ival-sin, time spent: 9.6s, 24.0% of total-time

Operation ival-cos, time spent: 8.5s, 21.0% of total-time

Operation ival-mult, time spent: 7.2s, 18.0% of total-time

Operation ival-div, time spent: 6.3s, 15.0% of total-time

Operation ival-pow, time spent: 4.3s, 10.0% of total-time

Operation ival-add, time spent: 1.9s, 5.0% of total-time

Operation ival-sub, time spent: 1.7s, 4.0% of total-time

Operation const, time spent: 828.0ms, 2.0% of total-time

Operation ival-sqrt, time spent: 454.0ms, 1.0% of total-time

Operation ival-neg, time spent: 67.0ms, 0.0% of total-time

Operation ival-pi, time spent: 17.0ms, 0.0% of total-time

eval5.0ms (0%)

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

prune11.0ms (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)))
▶	0.0%	(.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)))

▶

0.0%

(*.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)

localize2.1s (1.4%)

Results

Compiler

Compiled 4951 to 3189 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

Operation ival-sin, time spent: 434.0ms, 23.0% of total-time

Operation ival-cos, time spent: 360.0ms, 19.0% of total-time

Operation ival-mult, time spent: 317.0ms, 16.0% of total-time

Operation ival-div, time spent: 284.0ms, 15.0% of total-time

Operation ival-pow, time spent: 262.0ms, 14.0% of total-time

Operation ival-add, time spent: 100.0ms, 5.0% of total-time

Operation ival-sub, time spent: 60.0ms, 3.0% of total-time

Operation const, time spent: 51.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 27.0ms, 1.0% of total-time

Operation composed, time spent: 18.0ms, 1.0% of total-time

Operation ival-neg, time spent: 11.0ms, 1.0% of total-time

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

analyze5.3s (3.5%)

sample1.6min (62.2%)

preprocess49.3s (32.9%)

eval5.0ms (0%)

prune11.0ms (0%)

localize2.1s (1.4%)

Profiling