Herbie run

Date:Tuesday, April 15th, 2025
Commit:5565a39e on main
Seed:2025105
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:534 997.9 MB

Time bar (total: 7.0min)

sample2.8min (40.4%)

Memory
2 094.0MiB live, 208 812.8MiB allocated; 45.9s collecting garbage
Samples
45.7s119 460×1valid
33.1s281 088×0valid
17.2s3 931×4exit
14.9s25 449×2valid
10.2s11 282×5exit
7.0s3 291×3valid
4.8s34 744×0exit
2.9s20 111×0invalid
2.0s11 952×1invalid
355.0ms907×2invalid
255.0ms2 737×1exit
73.0ms24×4valid
0.0ms1×2exit
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 21.0s (17.9% of total)
ival-mult!: 13.3s (11.3% of total)
adjust: 12.2s (10.4% of total)
ival-cos: 10.7s (9.1% of total)
ival-sin: 9.2s (7.8% of total)
ival-pow2: 7.7s (6.6% of total)
ival-div!: 7.1s (6% of total)
ival-exp: 6.2s (5.3% of total)
ival-sinu: 5.4s (4.6% of total)
ival-cosu: 4.8s (4.1% of total)
ival-log: 3.9s (3.4% of total)
ival-sqrt: 3.8s (3.2% of total)
ival-add!: 3.5s (3% of total)
ival-sub!: 2.9s (2.5% of total)
ival-neg: 2.0s (1.7% of total)
ival-atan2: 772.0ms (0.7% of total)
ival-hypot: 631.0ms (0.5% of total)
ival-tan: 559.0ms (0.5% of total)
ival-acos: 352.0ms (0.3% of total)
ival-atan: 351.0ms (0.3% of total)
ival-cbrt: 249.0ms (0.2% of total)
ival-fabs: 144.0ms (0.1% of total)
ival-log1p: 137.0ms (0.1% of total)
ival-asin: 126.0ms (0.1% of total)
ival-<: 75.0ms (0.1% of total)
ival-and: 48.0ms (0% of total)
ival-assert: 8.0ms (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

rewrite54.1s (13%)

Memory
982.9MiB live, 62 574.7MiB allocated; 14.6s collecting garbage
Stop Event
455×iter-limit
188×node-limit
7×unsound
4×saturated
Counts
53 615 → 80 721

regimes40.5s (9.7%)

Memory
403.8MiB live, 54 686.4MiB allocated; 10.7s collecting garbage
Counts
22 955 → 924
Calls

155 calls:

3.4s
phi1
3.2s
phi2
3.1s
(-.f64 lambda1 lambda2)
2.6s
lambda1
2.2s
lambda2
Compiler

Compiled 19 848 to 16 480 computations (17% saved)

series30.8s (7.4%)

Memory
381.4MiB live, 42 692.6MiB allocated; 7.3s collecting garbage
Counts
7 607 → 46 008
Calls

1614 calls:

TimeVariablePointExpression
1.1s
b
@-inf
((* 180 (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI))) 180 (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI)) (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-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)) (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 (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 (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)))) a (cos (* (/ angle 180) (PI))) (* (/ angle 180) (PI)) (/ angle 180) angle (PI) 2 (pow (* b (sin (* (/ angle 180) (PI)))) 2) (* b (sin (* (/ angle 180) (PI)))) b (sin (* (/ angle 180) (PI))) 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)))) (pow (* b (cos (* (/ angle 180) (PI)))) 2) (* b (cos (* (/ angle 180) (PI)))) x-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 (- (/ (/ (+ (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))
171.0ms
angle
@0
((* 180 (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI))) 180 (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI)) (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale)) (* -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))))) -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))))) (/ y-scale x-scale) y-scale x-scale (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))) (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* a (sin (* 1/180 (* angle (PI))))) a (sin (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* b (cos (* 1/180 (* angle (PI))))) b (cos (* 1/180 (* angle (PI)))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) (- (* b b) (* a a)) (* b b) (* a a) (* 180 (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI))) (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI)) (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale)) (* 90 (* (/ x-scale angle) (/ (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (* (PI) (- (* b b) (* a a)))))) 90 (* (/ x-scale angle) (/ (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (* (PI) (- (* b b) (* a a))))) (/ x-scale angle) (/ (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (* (PI) (- (* b b) (* a a)))) (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale)))) (* 2 (/ (* a a) (* y-scale y-scale))) (/ (* a a) (* y-scale y-scale)) (* y-scale y-scale) (* 2 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale)) (* x-scale x-scale) (* (PI) (- (* b b) (* a a))) (* 180 (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI))) (/ (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI)) (atan (/ (- (- (/ (/ (+ (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)) (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 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-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)) (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 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168.0ms
ew
@0
((fabs (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) ew) (cos t) t ew (cos (atan (* (neg eh) (/ (tan t) ew)))) (atan (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) eh (/ (tan t) ew) (tan t) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (sin t) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) ew) (cos (atan (neg (* (/ eh ew) (tan t))))) (atan (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (+ (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t)) (* (cos (atan (neg (* (/ eh ew) (tan t))))) ew)) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew))) (atan (/ (* (neg eh) (tan t)) ew)) (/ (* (neg eh) (tan t)) ew) (* (neg eh) (tan t)) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* eh (sin t)) (* (+ (* (+ (* 1/120 (* (* t t) eh)) (* -1/6 eh)) (* t t)) eh) t) (+ (* (+ (* 1/120 (* (* t t) eh)) (* -1/6 eh)) (* t t)) eh) (+ (* 1/120 (* (* t t) eh)) (* -1/6 eh)) 1/120 (* (* t t) eh) (* t t) (* -1/6 eh) -1/6 (sin (atan (/ (* (neg eh) (tan t)) ew))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))
167.0ms
angle
@inf
((/ (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 (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) 2)))))) 1/4 (* (* y-scale (sqrt 8)) (sqrt (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) 2))))) (* y-scale (sqrt 8)) y-scale (sqrt 8) 8 (sqrt (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) 2)))) (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) 2))) 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* a (sin (* 1/180 (* angle (PI))))) a (sin (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* 2 (pow (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) 2)) (pow (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) 2) (* b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2)))) b (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (+ (* 1/180 (* angle (PI))) (/ (PI) 2)) (/ (PI) 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))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* b (* y-scale 4))) (* b y-scale) (/ (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 (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2)))))) (* (* y-scale (sqrt 8)) (sqrt (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))))) (sqrt (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2)))) (* a (* (sin (* 1/180 (* angle (PI)))) (sqrt 2))) (* (sin (* 1/180 (* angle (PI)))) (sqrt 2)) (sqrt 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))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* -1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))))) -1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))))) (* (* y-scale (sqrt 8)) (sqrt (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))))) (sqrt (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2)))) (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* b (cos (* 1/180 (* angle (PI))))) (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 (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (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))))))) (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (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)))))) (* a (* x-scale (* y-scale (sqrt 8)))) (* x-scale (* y-scale (sqrt 8))) x-scale (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (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) (pow (* x-scale y-scale) 2))) (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) (pow (* x-scale y-scale) 2))) (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 (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))
167.0ms
lambda1
@-inf
((+ lambda1 (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) lambda1 (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (cos phi2) phi2 (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2))) (* (sin lambda1) (cos lambda2)) (sin lambda1) (cos lambda2) lambda2 (* (cos lambda1) (sin lambda2)) (cos lambda1) (sin lambda2) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cos phi1) phi1 (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)) (+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (* (cos phi2) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2)) (- lambda1 lambda2) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) (+ (+ (* (- (* 1/24 (* phi1 phi1)) 1/2) (* phi1 phi1)) (* (cos (- lambda1 lambda2)) (cos phi2))) 1) (* (pow phi1 4) 1/24) (pow phi1 4) 4 1/24 (+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos (- lambda1 lambda2)) (cos phi2)) (sin (- (+ (* (PI) 1/2) lambda1) lambda2)) (- (+ (* (PI) 1/2) lambda1) lambda2) (+ (* (PI) 1/2) lambda1) (PI) 1/2 (+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (* (cos phi2) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2)) (- lambda1 lambda2) (* (- 1 (/ lambda2 lambda1)) lambda1) (- 1 (/ lambda2 lambda1)) 1 (/ lambda2 lambda1) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) (* (cos phi2) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)) (+ lambda1 (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (/ (+ (cos (+ (- lambda1 lambda2) phi2)) (cos (- (- lambda1 lambda2) phi2))) 2)))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (/ (+ (cos (+ (- lambda1 lambda2) phi2)) (cos (- (- lambda1 lambda2) phi2))) 2))) (+ (cos phi1) (/ (+ (cos (+ (- lambda1 lambda2) phi2)) (cos (- (- lambda1 lambda2) phi2))) 2)) (/ (+ (cos (+ (- lambda1 lambda2) phi2)) (cos (- (- lambda1 lambda2) phi2))) 2) (+ (cos (+ (- lambda1 lambda2) phi2)) (cos (- (- lambda1 lambda2) phi2))) (cos (+ (- lambda1 lambda2) phi2)) (+ (- lambda1 lambda2) phi2) (cos (- (- lambda1 lambda2) phi2)) (- (- lambda1 lambda2) phi2) 2)

eval27.6s (6.6%)

Memory
132.6MiB live, 39 862.2MiB allocated; 10.2s collecting garbage
Compiler

Compiled 10 875 466 to 577 058 computations (94.7% saved)

prune23.3s (5.6%)

Memory
253.4MiB live, 37 256.7MiB allocated; 5.4s collecting garbage
Counts
95 409 → 6 307
Compiler

Compiled 1 103 939 to 415 166 computations (62.4% saved)

explain18.6s (4.5%)

Memory
-63.1MiB live, 27 860.6MiB allocated; 3.1s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity19069
+.f64#fcancellation169842
sin.f64#fsensitivity16694
sqrt.f64#foflow-rescue14220
-.f64#fcancellation9466
-.f64#fnan-rescue6320
log.f64#fsensitivity5961
/.f64#fo/n5010
/.f64#fo/o3660
/.f64#fu/u2910
*.f64#fn*o2370
/.f64#fu/n1730
sqrt.f64#fuflow-rescue1650
exp.f64#fsensitivity15522
/.f64#fn/o1220
cbrt.f64#foflow-rescue1100
*.f64#fn*u660
cbrt.f64#fuflow-rescue500
*.f64#fu*o380
*.f64#fo*u370
/.f64#fn/u360
acos.f64(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))sensitivity143
log.f64#foflow-rescue70
pow.f64#fuflow-rescue60
pow.f64#fsensitivity31
Confusion
Predicted +Predicted -
+575372
-13256162
Precision
0.8128002260525572
Recall
0.9876394849785408
Confusion?
Predicted +Predicted MaybePredicted -
+57533933
-1325366126
Precision?
0.8097301831399413
Recall?
0.9943347639484978
Freqs
test
numberfreq
06234
14644
21575
3349
4275
5149
651
728
86
101
Total Confusion?
Predicted +Predicted MaybePredicted -
+4201
-315
Precision?
0.9130434782608695
Recall?
0.9767441860465116
Samples
3.2s7 786×1valid
2.0s16 474×0valid
1.8s2 028×2valid
480.0ms336×3valid
Compiler

Compiled 19 935 to 2 551 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.8s
ival-sin: 1.0s (17.8% of total)
ival-mult!: 766.0ms (13.2% of total)
ival-cos: 708.0ms (12.2% of total)
adjust: 578.0ms (10% of total)
ival-pow2: 405.0ms (7% of total)
ival-div!: 374.0ms (6.4% of total)
ival-cosu: 333.0ms (5.7% of total)
ival-sinu: 289.0ms (5% of total)
ival-exp: 260.0ms (4.5% of total)
ival-log: 184.0ms (3.2% of total)
ival-sqrt: 182.0ms (3.1% of total)
ival-sub!: 176.0ms (3% of total)
ival-add!: 170.0ms (2.9% of total)
ival-tan: 73.0ms (1.3% of total)
ival-neg: 66.0ms (1.1% of total)
ival-hypot: 42.0ms (0.7% of total)
ival-atan2: 42.0ms (0.7% of total)
ival-atan: 33.0ms (0.6% of total)
ival-cbrt: 26.0ms (0.4% of total)
ival-pow: 24.0ms (0.4% of total)
ival-acos: 21.0ms (0.4% of total)
ival-fabs: 12.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)

analyze16.1s (3.8%)

Memory
529.4MiB live, 19 802.8MiB allocated; 5.2s 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)

bsearch15.6s (3.7%)

Memory
-282.4MiB live, 17 611.3MiB allocated; 5.1s collecting garbage
Algorithm
331×binary-search
86×left-value
Stop Event
314×narrow-enough
16×predicate-same
1×predicate-failed
Samples
5.0s8 105×1valid
2.3s454×4exit
1.9s14 164×0valid
1.9s494×5exit
391.0ms877×2valid
272.0ms143×3valid
234.0ms2 172×0invalid
127.0ms551×1invalid
26.0ms81×2invalid
1.0ms19×0exit
Compiler

Compiled 279 539 to 160 153 computations (42.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0s
ival-pow: 2.6s (26.3% of total)
ival-sin: 1.9s (18.6% of total)
ival-cos: 1.7s (17.3% of total)
adjust: 808.0ms (8.1% of total)
ival-mult!: 761.0ms (7.6% of total)
ival-pow2: 406.0ms (4.1% of total)
ival-div!: 279.0ms (2.8% of total)
ival-sub!: 251.0ms (2.5% of total)
ival-sqrt: 236.0ms (2.4% of total)
ival-sinu: 202.0ms (2% of total)
ival-add!: 184.0ms (1.8% of total)
ival-cosu: 153.0ms (1.5% of total)
ival-atan2: 133.0ms (1.3% of total)
ival-exp: 123.0ms (1.2% of total)
ival-acos: 86.0ms (0.9% of total)
ival-neg: 61.0ms (0.6% of total)
ival-hypot: 27.0ms (0.3% of total)
ival-atan: 26.0ms (0.3% of total)
ival-tan: 21.0ms (0.2% of total)
ival-log: 13.0ms (0.1% of total)
ival-asin: 8.0ms (0.1% of total)
ival-fabs: 7.0ms (0.1% of total)
ival-log1p: 2.0ms (0% of total)
ival-cbrt: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

derivations14.5s (3.5%)

Memory
-334.9MiB live, 13 691.3MiB allocated; 1.8s collecting garbage
Stop Event
43×fuel
9×done
Compiler

Compiled 52 443 to 6 106 computations (88.4% saved)

preprocess7.9s (1.9%)

Memory
109.8MiB live, 10 139.4MiB allocated; 1.9s collecting garbage
Stop Event
46×node-limit
6×saturated
Compiler

Compiled 307 398 to 79 532 computations (74.1% saved)

start3.0ms (0%)

Memory
6.4MiB live, 6.3MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Profiling

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