a from scale-rotated-ellipse

Time bar (total: 33.7s)

analyze1.8s (5.4%)

Memory
7.6MiB live, 596.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
3.5%3.5%96.2%0.2%0%0%0%11
4.1%4.1%95.7%0.2%0%0%0%12
Compiler

Compiled 374 to 115 computations (69.3% saved)

sample31.6s (93.6%)

Memory
98.6MiB live, 6 740.4MiB allocated
Samples
5.4s1 884×1168valid-rival
4.7s1 884×1168valid-baseline
3.9s1 884×1168valid-sollya
3.5s1 161×584valid-rival
2.2s1 161×584valid-baseline
1.8s4 338×73valid-sollya
1.6s4 338×73valid-baseline
1.5s1 161×584valid-sollya
1.4s4 338×73valid-rival
1.4s562×292valid-rival
778.0ms562×292valid-baseline
524.0ms562×292valid-sollya
257.0ms295×146valid-baseline
231.0ms295×146valid-sollya
111.0ms295×146valid-rival
46.0ms10×2336valid-rival
43.0ms10×2336valid-sollya
39.0ms10×2336valid-baseline
7.0ms1×1168valid-rival+sollya-inf
4.0ms3×1168valid-rival+sollya-real
2.0ms1×584valid-sollya+baseline-inf
1.0ms1×584valid-rival+baseline-real
Precisions
Click to see Rival histograms. Total time spent on operations: 11.6s
ival-cos: 3.7s (32.3% of total)
ival-sin: 3.5s (30.6% of total)
ival-pow: 1.8s (15.2% of total)
ival-mult: 1.0s (9% of total)
ival-div: 670.0ms (5.8% of total)
ival-add: 233.0ms (2% of total)
adjust: 214.0ms (1.9% of total)
ival-sqrt: 150.0ms (1.3% of total)
ival-sub: 101.0ms (0.9% of total)
ival-neg: 75.0ms (0.6% of total)
ival-pi: 41.0ms (0.4% of total)
...in/eval/compile.rkt:110:19: 9.0ms (0.1% of total)
ival-true: 7.0ms (0.1% of total)
ival-assert: 3.0ms (0% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 8.9s
ival-pow: 4.1s (45.3% of total)
ival-mult: 2.0s (22.2% of total)
ival-div: 1.2s (13.1% of total)
ival-add: 440.0ms (4.9% of total)
ival-sin: 302.0ms (3.4% of total)
ival-sqrt: 270.0ms (3% of total)
ival-cos: 259.0ms (2.9% of total)
ival-sub: 179.0ms (2% of total)
ival-neg: 170.0ms (1.9% of total)
ival-pi: 83.0ms (0.9% of total)
const: 39.0ms (0.4% of total)
Bogosity

preprocess181.0ms (0.5%)

Memory
-1.6MiB live, 78.0MiB allocated
Algorithm
1×egg-herbie
Rules
866×fma-define
792×associate-*l*
780×associate-*r*
420×*-commutative
280×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056515778
1165314720
2773214720
Stop Event
1×node limit
Calls
Call 1
Inputs
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(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (neg.f64 a)) (*.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.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 #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 a) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (neg.f64 a) #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (neg.f64 a)) (*.f64 b (neg.f64 (neg.f64 a))))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b y-scale) (*.f64 b (neg.f64 y-scale)))) (pow.f64 (*.f64 x-scale a) #s(literal 2 binary64)))) (*.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 #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) a) a)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) a) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 y-scale #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) a) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b y-scale) (*.f64 b (neg.f64 y-scale)))) (pow.f64 (*.f64 x-scale a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 angle a) (*.f64 angle (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 angle a) (*.f64 angle (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 angle (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 angle (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 angle (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 angle (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 angle #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 b #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 angle a) (*.f64 angle (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x-scale a) (*.f64 x-scale (neg.f64 a)))) (pow.f64 (*.f64 b y-scale) #s(literal 2 binary64)))) (*.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 #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) b) b) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) b) b) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) b) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x-scale a) (*.f64 x-scale (neg.f64 a)))) (pow.f64 (*.f64 b y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y-scale a) (*.f64 y-scale (neg.f64 a)))) (pow.f64 (*.f64 x-scale b) #s(literal 2 binary64)))) (*.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 #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) b) b)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y-scale (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 y-scale (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) b) b)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y-scale #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) b) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 y-scale a) (*.f64 y-scale (neg.f64 a)))) (pow.f64 (*.f64 x-scale b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 angle y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 x-scale #s(literal 180 binary64)) (PI.f64)))) angle) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 angle y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) x-scale) angle) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) y-scale) x-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) #s(literal 2 binary64))))
Outputs
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
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(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b))) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 a (pow.f64 b #s(literal 2 binary64))) (/.f64 (neg.f64 a) (pow.f64 (*.f64 y-scale angle) #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64)))) (cos.f64 (*.f64 x-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) (*.f64 y-scale angle))))))))) (*.f64 (*.f64 a (pow.f64 b #s(literal 2 binary64))) (/.f64 (neg.f64 a) (pow.f64 (*.f64 y-scale angle) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) angle) angle)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 y-scale #s(literal 180 binary64)) (PI.f64)))) x-scale) angle) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64)))) (*.f64 a (*.f64 b (*.f64 b (neg.f64 a)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (PI.f64) (/.f64 y-scale #s(literal 180 binary64)))))) (*.f64 x-scale angle)) #s(literal 2 binary64))))))))) (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b)) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b)))) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64))) (hypot.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 angle #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64)))) (cos.f64 (*.f64 y-scale (/.f64 (PI.f64) #s(literal 180 binary64))))) (*.f64 x-scale angle)))))))) (*.f64 b (/.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b)) (pow.f64 (*.f64 x-scale angle) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) y-scale) x-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 y-scale x-scale) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))) (*.f64 (*.f64 a (*.f64 b (*.f64 b (neg.f64 a)))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))))) (*.f64 x-scale y-scale)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64)))) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b (*.f64 b (neg.f64 a)))))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 b (*.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 b))) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 a (pow.f64 b #s(literal 2 binary64))) (/.f64 (neg.f64 a) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64))) (hypot.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64)))) (cos.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) (*.f64 x-scale y-scale))) (-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 y-scale #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 angle (/.f64 (PI.f64) #s(literal 180 binary64))))) #s(literal 2 binary64))) (pow.f64 x-scale #s(literal 2 binary64)))))))))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (pow.f64 b #s(literal 2 binary64))) (/.f64 (neg.f64 a) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))))
Symmetry

(abs a)

(abs b)

(abs x-scale)

(abs y-scale)

Compiler

Compiled 188 to 56 computations (70.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
Compiler

Compiled 376 to 112 computations (70.2% saved)

simplify95.0ms (0.3%)

Memory
-0.1MiB live, 15.9MiB allocated
Algorithm
1×egg-herbie
Rules
306×unsub-neg
210×distribute-lft-neg-in
195×neg-mul-1
107×neg-sub0
86×distribute-rgt-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065721
199721
2124721
3159713
4214705
5289705
6397705
7505705
8676705
9956705
101206705
111320705
121420705
131538705
141631705
151684705
161721705
171743705
181757705
191763705
201764705
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
Outputs
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) x-scale) y-scale) #s(literal 2 binary64)))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) x-scale) y-scale) #s(literal 2 binary64))))))) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b (neg.f64 a)))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) x-scale) y-scale) #s(literal 2 binary64))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b a))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b a))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) x-scale) x-scale) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64)))) #s(literal 2 binary64))) y-scale) y-scale)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 (sin.f64 (*.f64 (/.f64 angle #s(literal 180 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) x-scale) y-scale) #s(literal 2 binary64))))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b a) (*.f64 b a))) (pow.f64 (*.f64 x-scale y-scale) #s(literal 2 binary64))))

soundness1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Stop Event
1×fuel
Compiler

Compiled 184 to 53 computations (71.2% saved)

preprocess49.0ms (0.1%)

Memory
-6.0MiB live, 41.0MiB allocated
Remove

(abs y-scale)

(abs x-scale)

(abs b)

(abs a)

Compiler

Compiled 3 688 to 1 066 computations (71.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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