Herbie run

Date:Friday, April 25th, 2025
Commit:e1b60cb6 on time-nightly
Seed:2025115
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
default
Memory:494 441.6 MB

Time bar (total: 6.4min)

sample2.7min (42.6%)

Memory
1 879.8MiB live, 205 637.9MiB allocated; 47.3s collecting garbage
Samples
45.2s119 054×1valid
34.7s281 499×0valid
17.0s3 834×4exit
15.8s25 510×2valid
7.4s3 229×3valid
6.7s11 426×5exit
4.7s34 417×0exit
2.9s19 913×0invalid
1.8s12 229×1invalid
309.0ms887×2invalid
250.0ms2 673×1exit
78.0ms20×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 19.6s (16.7% of total)
ival-mult!: 12.8s (10.9% of total)
ival-cos: 12.7s (10.8% of total)
adjust: 11.7s (10% of total)
ival-sin: 8.9s (7.5% of total)
ival-pow2: 8.6s (7.3% of total)
ival-div!: 6.7s (5.7% of total)
ival-sinu: 6.5s (5.5% of total)
ival-exp: 5.4s (4.6% of total)
ival-cosu: 4.9s (4.2% of total)
ival-log: 3.9s (3.3% of total)
ival-sqrt: 3.7s (3.2% of total)
ival-sub!: 3.5s (3% of total)
ival-add!: 2.9s (2.5% of total)
ival-neg: 1.7s (1.5% of total)
ival-tan: 945.0ms (0.8% of total)
ival-atan2: 776.0ms (0.7% of total)
ival-hypot: 684.0ms (0.6% of total)
ival-acos: 465.0ms (0.4% of total)
ival-atan: 310.0ms (0.3% of total)
ival-cbrt: 308.0ms (0.3% of total)
ival-fabs: 233.0ms (0.2% of total)
ival-log1p: 173.0ms (0.1% of total)
ival-asin: 112.0ms (0.1% of total)
ival-<: 62.0ms (0.1% of total)
ival-and: 46.0ms (0% of total)
ival-assert: 7.0ms (0% of total)
ival-<=: 6.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite54.7s (14.2%)

Memory
915.8MiB live, 62 748.5MiB allocated; 17.9s collecting garbage
Stop Event
449×iter-limit
186×node-limit
8×unsound
3×saturated
Counts
52 795 → 77 367

series33.4s (8.7%)

Memory
915.7MiB live, 44 043.1MiB allocated; 11.3s collecting garbage
Counts
7 475 → 45 320
Calls

1614 calls:

TimeVariablePointExpression
1.1s
y-scale
@0
((/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))))) 1/4 (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))))) (* y-scale (sqrt 8)) y-scale (sqrt 8) 8 (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))) (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))) (- (* b b) (* -1 (* b b))) (* 2 (* b b)) 2 (* b b) b (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))))) (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (* a (* x-scale (* y-scale (sqrt 8)))) a (* x-scale (* y-scale (sqrt 8))) x-scale (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (/ 1 (* y-scale y-scale)) 1 (* y-scale y-scale) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)) (pow y-scale -4) -4 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))))) (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))))) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle 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angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (* y-scale y-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))) (* (* angle angle) (+ (* -1/16200 (/ (* (PI) (PI)) (* y-scale y-scale))) (* 1/8100 (/ (* (PI) (PI)) (* y-scale y-scale))))) (* angle angle) (+ (* -1/16200 (/ (* (PI) (PI)) (* y-scale y-scale))) (* 1/8100 (/ (* (PI) (PI)) (* y-scale y-scale)))) -1/16200 (/ (* (PI) (PI)) (* y-scale y-scale)) (* (PI) (PI)) (* 1/8100 (/ (* (PI) (PI)) (* y-scale y-scale))) 1/8100 (pow (cos (* 1/180 (* angle (PI)))) 2) (cos (* 1/180 (* angle (PI)))) (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))))) (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (* (* a (* x-scale (sqrt 8))) (sqrt (- (pow (cos (* 1/180 (* angle (PI)))) 2) (* 1/2 (/ (* (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) (pow (sin (* 1/180 (* angle (PI)))) 2)))))) (* a (* x-scale (sqrt 8))) (* x-scale (sqrt 8)) (sqrt (- (pow (cos (* 1/180 (* angle (PI)))) 2) (* 1/2 (/ (* (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) (pow (sin (* 1/180 (* angle (PI)))) 2))))) (- (pow (cos (* 1/180 (* angle (PI)))) 2) (* 1/2 (/ (* (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) (pow (sin (* 1/180 (* angle (PI)))) 2)))) (* 1/2 (/ (* (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) (pow (sin (* 1/180 (* angle (PI)))) 2))) (/ (* (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) (* x-scale x-scale) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) 4 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* b (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))))) (* (* b (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (* b (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ 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x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)) (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale))) (* (* x-scale x-scale) (* y-scale y-scale)) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2) (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))))
958.0ms
t
@inf
((fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (* (cos t) eh) (cos t) t eh (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* ew (tan t)) ew (tan t) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* ew (sin t)) (sin t) (fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (+ (* ew (sin t)) (* (* eh eh) (+ (* -1/2 (/ (pow (cos t) 2) (* ew (sin t)))) (/ (pow (cos t) 2) (* ew (sin t)))))) (* 1/2 (/ (* eh eh) (* ew t))) 1/2 (/ (* eh eh) (* ew t)) (* eh eh) (* ew t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (sin t)) (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) (/ (* ew t) eh) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) (asinh (/ (* (cos t) eh) (* (sin t) ew))) (+ (log (* 2 (/ (* eh (cos t)) (sin t)))) (* -1 (log ew))) (log (* 2 (/ (* eh (cos t)) (sin t)))) (* 2 (/ (* eh (cos t)) (sin t))) 2 (/ (* eh (cos t)) (sin t)) (* eh (cos t)) (* -1 (log ew)) -1 (log ew) (fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* ew (tan t)) (tan t) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) (* (/ ew eh) (tan t)) (/ ew eh))
769.0ms
g
@0
((+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (cbrt (* 2 a))) (cbrt (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))) (/ 1 (* 2 a)) 1 (* 2 a) 2 a (+ (neg g) (sqrt (- (* g g) (* h h)))) (neg g) g (sqrt (- (* g g) (* h h))) (* (/ 1 (cbrt (* 2 a))) (cbrt (- (neg g) (sqrt (- (* g g) (* h h)))))) (/ 1 (cbrt (* 2 a))) (cbrt (* 2 a)) (cbrt (- (neg g) (sqrt (- (* g g) (* h h))))) (- (neg g) (sqrt (- (* g g) (* h h)))) (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (neg (* (pow (/ g a) 1/3) 1)) (* (pow (/ g a) 1/3) 1) (pow (/ g a) 1/3) (/ g a) 1/3 (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (pow (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))) 1/3)) (pow (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))) 1/3) (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))) (* -1 (/ g a)) -1 (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (cbrt (/ 1 (* 2 a))) (cbrt (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))) (/ 1 (* 2 a)) (/ 1/2 a) 1/2 (* (cbrt (/ 1 (* 2 a))) (cbrt (- (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (/ 1 (* 2 a))) (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (* (+ (* (cbrt (/ (* h h) (* (* (* g g) (* g g)) a))) (cbrt -1/4)) (* (cbrt -1) (cbrt (/ 1 (* (* g g) a))))) g) (+ (* (cbrt (/ (* h h) (* (* (* g g) (* g g)) a))) (cbrt -1/4)) (* (cbrt -1) (cbrt (/ 1 (* (* g g) a))))) (/ (+ (cbrt (* (/ (* (* g g) (* h h)) a) -1/4)) (cbrt (* (/ (pow g 4) a) -1))) (* g g)) (+ (cbrt (* (/ (* (* g g) (* h h)) a) -1/4)) (cbrt (* (/ (pow g 4) a) -1))) (cbrt (* (/ (* (* g g) (* h h)) a) -1/4)) (* (/ (* (* g g) (* h h)) a) -1/4) (/ (* (* g g) (* h h)) a) (* (* g g) (* h h)) (* g g) (* h h) h -1/4 (cbrt (* (/ (pow g 4) a) -1)) (* (/ (pow g 4) a) -1) (/ (pow g 4) a) (pow g 4) 4)
358.0ms
x-scale
@0
((/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))))) (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))) (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)) (* 4 (* (* b a) (* b (neg a)))) 4 (* (* b a) (* b (neg a))) (* b a) b a (* b (neg a)) (neg a) (pow (* x-scale y-scale) 2) (* x-scale y-scale) x-scale y-scale (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (pow (* a (sin (* (/ angle 180) (PI)))) 2) (* a (sin (* (/ angle 180) (PI)))) (sin (* (/ angle 180) (PI))) (* (/ angle 180) (PI)) (/ angle 180) angle 180 (PI) (pow (* b (cos (* (/ angle 180) (PI)))) 2) (* b (cos (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI))) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (pow (* a (cos (* (/ angle 180) (PI)))) 2) (* a (cos (* (/ angle 180) (PI)))) (pow (* b (sin (* (/ angle 180) (PI)))) 2) (* b (sin (* (/ angle 180) (PI)))) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))) (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)) (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (* 2 (- (pow b 2) (pow a 2))) (- (pow b 2) (pow a 2)) (pow b 2) (pow a 2))
324.0ms
t
@0
((fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (* (cos t) eh) (cos t) t eh (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* ew (tan t)) ew (tan t) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (sin t) ew) (sin t) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))) (+ 1 (pow (/ eh (* ew (tan t))) 2)) (pow (/ eh (* ew (tan t))) 2) 2 (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) (asinh (/ (* (cos t) eh) (* (sin t) ew))) (/ (* (cos t) eh) (* (sin t) ew)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (sin t)) (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2))) (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)) (pow (/ (* (cos t) eh) (* (sin t) ew)) 2) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ (/ (+ (* -1/3 (* (* t t) eh)) eh) ew) t) (/ (+ (* -1/3 (* (* t t) eh)) eh) ew) (+ (* -1/3 (* (* t t) eh)) eh) -1/3 (* (* t t) eh) (* t t) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (+ (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) (sin t)) (/ (* (* (cos t) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))) ew)) ew) (+ (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) (sin t)) (/ (* (* (cos t) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))) ew)) (/ (* (* (cos t) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))) ew) (* (* (cos t) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))))

regimes32.1s (8.3%)

Memory
627.9MiB live, 46 250.6MiB allocated; 8.6s collecting garbage
Counts
20 667 → 931
Calls

155 calls:

3.1s
phi2
2.8s
lambda1
2.6s
phi1
1.8s
lambda2
1.3s
(-.f64 lambda1 lambda2)
Compiler

Compiled 14 804 to 14 627 computations (1.2% saved)

eval29.4s (7.6%)

Memory
129.1MiB live, 44 185.4MiB allocated; 10.5s collecting garbage
Compiler

Compiled 3 991 084 to 519 498 computations (87% saved)

prune20.1s (5.2%)

Memory
-654.2MiB live, 29 931.1MiB allocated; 5.9s collecting garbage
Counts
79 386 → 6 122
Compiler

Compiled 635 004 to 393 071 computations (38.1% saved)

derivations16.5s (4.3%)

Memory
113.8MiB live, 14 409.2MiB allocated; 3.8s collecting garbage
Stop Event
41×fuel
11×done
Compiler

Compiled 12 756 to 6 095 computations (52.2% saved)

analyze15.6s (4%)

Memory
188.6MiB live, 21 624.3MiB allocated; 5.6s collecting garbage
Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
17.2%13.7%65.7%20.6%0%0%0%1
25%19.6%58.5%20.6%0%1.3%0%2
35.2%26.6%48.9%20.6%0%3.8%0%3
42.3%31.7%43.1%20.6%0%4.5%0%4
47.9%35.6%38.7%20.6%0%5.1%0%5
51%37.6%36.1%20.6%0%5.7%0%6
54.4%39.7%33.2%20.6%0%6.5%0%7
56.2%40.7%31.8%20.6%0%6.8%0%8
59%42.5%29.5%20.6%0%7.4%0%9
60.3%43.2%28.4%20.6%0%7.7%0%10
62.1%44.3%27%20.6%0%8.1%0%11
63.6%45.1%25.8%20.6%0%8.5%0%12
Compiler

Compiled 1 826 to 963 computations (47.3% saved)

bsearch10.0s (2.6%)

Memory
96.8MiB live, 11 457.8MiB allocated; 1.4s collecting garbage
Algorithm
340×binary-search
110×left-value
Stop Event
325×narrow-enough
15×predicate-same
Samples
5.1s8 701×1valid
1.8s13 144×0valid
331.0ms744×2valid
123.0ms1 245×0invalid
118.0ms51×3valid
43.0ms178×1invalid
12.0ms37×2invalid
Compiler

Compiled 224 903 to 168 536 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.6s
ival-cos: 1.9s (29.1% of total)
ival-sin: 1.8s (27% of total)
ival-mult!: 711.0ms (10.8% of total)
adjust: 548.0ms (8.3% of total)
ival-pow2: 312.0ms (4.7% of total)
ival-sqrt: 212.0ms (3.2% of total)
ival-div!: 210.0ms (3.2% of total)
ival-sub!: 178.0ms (2.7% of total)
ival-atan2: 168.0ms (2.5% of total)
ival-cosu: 97.0ms (1.5% of total)
ival-add!: 90.0ms (1.4% of total)
ival-sinu: 89.0ms (1.3% of total)
ival-neg: 51.0ms (0.8% of total)
ival-acos: 47.0ms (0.7% of total)
ival-pow: 35.0ms (0.5% of total)
ival-exp: 34.0ms (0.5% of total)
ival-log: 31.0ms (0.5% of total)
ival-atan: 28.0ms (0.4% of total)
ival-hypot: 25.0ms (0.4% of total)
ival-tan: 13.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-cbrt: 7.0ms (0.1% of total)
ival-fabs: 4.0ms (0.1% of total)
ival-log1p: 2.0ms (0% of total)

preprocess9.5s (2.5%)

Memory
-429.0MiB live, 14 144.1MiB allocated; 2.1s collecting garbage
Stop Event
46×node-limit
6×saturated
Compiler

Compiled 128 674 to 66 947 computations (48% saved)

start3.0ms (0%)

Memory
8.8MiB live, 8.7MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated; 0ms collecting garbage

Profiling

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