Herbie run

Date:Tuesday, April 22nd, 2025
Commit:0ffbe07e on time-nightly
Seed:2025112
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:472 534.7 MB

Time bar (total: 6.5min)

sample2.9min (44.9%)

Memory
1 911.2MiB live, 204 236.3MiB allocated; 58.7s collecting garbage
Samples
46.0s119 599×1valid
36.8s280 972×0valid
17.9s3 911×4exit
16.8s25 396×2valid
9.7s11 287×5exit
7.2s3 321×3valid
5.8s34 850×0exit
2.5s19 900×0invalid
2.3s12 177×1invalid
447.0ms917×2invalid
264.0ms2 701×1exit
110.0ms24×4valid
54.0ms2×2exit
Precisions
Click to see histograms. Total time spent on operations: 2.1min
ival-pow: 22.6s (18.1% of total)
ival-mult!: 15.1s (12.1% of total)
adjust: 12.8s (10.2% of total)
ival-cos: 12.2s (9.8% of total)
ival-div!: 8.3s (6.7% of total)
ival-sin: 8.2s (6.6% of total)
ival-pow2: 7.5s (6% of total)
ival-sinu: 6.2s (4.9% of total)
ival-exp: 5.5s (4.4% of total)
ival-log: 5.5s (4.4% of total)
ival-cosu: 4.8s (3.8% of total)
ival-sqrt: 3.5s (2.8% of total)
ival-add!: 3.2s (2.5% of total)
ival-sub!: 3.0s (2.4% of total)
ival-neg: 2.0s (1.6% of total)
ival-tan: 1.6s (1.3% of total)
ival-atan2: 784.0ms (0.6% of total)
ival-hypot: 651.0ms (0.5% of total)
ival-acos: 396.0ms (0.3% of total)
ival-cbrt: 365.0ms (0.3% of total)
ival-atan: 278.0ms (0.2% of total)
ival-fabs: 223.0ms (0.2% of total)
ival-log1p: 120.0ms (0.1% of total)
ival-asin: 111.0ms (0.1% of total)
ival-<: 67.0ms (0.1% of total)
ival-and: 49.0ms (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

rewrite53.4s (13.6%)

Memory
1 000.1MiB live, 56 943.7MiB allocated; 15.3s collecting garbage
Stop Event
457×iter-limit
188×node-limit
6×unsound
4×saturated
Counts
52 255 → 78 042

regimes37.3s (9.5%)

Memory
383.0MiB live, 51 009.1MiB allocated; 9.7s collecting garbage
Counts
19 915 → 900
Calls

155 calls:

2.6s
phi2
2.5s
phi1
2.3s
(-.f64 lambda1 lambda2)
2.2s
lambda1
2.2s
lambda2
Compiler

Compiled 15 903 to 15 489 computations (2.6% saved)

series32.9s (8.4%)

Memory
611.3MiB live, 42 197.5MiB allocated; 8.8s collecting garbage
Counts
7 526 → 44 729
Calls

1611 calls:

TimeVariablePointExpression
1.1s
phi1
@0
((* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) (* (sin (/ phi1 2)) (cos (/ phi2 2))) (sin (/ phi1 2)) (/ phi1 2) phi1 (cos (/ phi2 2)) (/ phi2 2) phi2 (* (cos (/ phi1 2)) (sin (/ phi2 2))) (cos (/ phi1 2)) (sin (/ phi2 2)) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (- lambda1 lambda2) lambda1 lambda2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (- phi1 phi2) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (atan2 (sqrt (+ (* (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))))) (sqrt (- 1 (+ (* (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))))))) (sqrt (+ (* (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))))) (+ (* (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2))))))) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2))))) (cos (* 2 (* 1/2 (- lambda1 lambda2)))) (* 2 (* 1/2 (- lambda1 lambda2))) (* 1/2 (- lambda1 lambda2)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))) (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2))))) (cos (* 2 (* 1/2 (- phi1 phi2)))) (* 2 (* 1/2 (- phi1 phi2))) (* 1/2 (- phi1 phi2)) (sqrt (- 1 (+ (* (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2))))))))) (- 1 (+ (* (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi2)) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))))) (* R (* 2 (atan2 (exp (* (log (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))))) 1/2)) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (exp (* (log (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))))) 1/2)) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (exp (* (log (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))))) 1/2)) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (exp (* (log (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))))) 1/2)) (* (log (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))))) 1/2) (log (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))))) (+ (* (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))))) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2)))))) (* (cos phi2) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2))))) (* 1/2 (cos (* 2 (/ (- lambda1 lambda2) 2)))) (cos (* 2 (/ (- lambda1 lambda2) 2))) (* 2 (/ (- lambda1 lambda2) 2)) (- 1/2 (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2))))) (* 1/2 (cos (* 2 (/ (- phi1 phi2) 2)))) (cos (* 2 (/ (- phi1 phi2) 2))) (* 2 (/ (- phi1 phi2) 2)) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (* (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (sin (+ (neg phi2) (/ (PI) 2)))) (sin (+ (neg phi2) (/ (PI) 2))) (+ (neg phi2) (/ (PI) 2)) (neg phi2) (/ (PI) 2) (PI) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2)))) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))))) (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2)))) (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (sin (/ lambda1 2)) (/ lambda1 2) (cos (/ lambda2 2)) (/ lambda2 2) (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) (cos (/ lambda1 2)) (sin (/ lambda2 2)))
589.0ms
angle
@0
((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) a 2 (pow (* b (sin (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) b (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (PI) (/ angle 180) (* 1/180 angle) 1/180 angle (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (exp (* (log a) 2)) (* (log a) 2) (log a) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a a) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (* (* angle (PI)) 1/180) (* angle (PI)) (+ (exp (* (log (* (cos (* (/ angle 180) (PI))) a)) 2)) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (exp (* (log (* (cos (* (/ angle 180) (PI))) a)) 2)) (* (log (* (cos (* (/ angle 180) (PI))) a)) 2) (log (* (cos (* (/ angle 180) (PI))) a)) (* (cos (* (/ angle 180) (PI))) a) (cos (* (/ angle 180) (PI))) (* (/ angle 180) (PI)) (/ angle 180) 180 (pow (* b (sin (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (* (PI) angle) 1/180) (* (PI) angle) (+ (pow (exp (log (* (cos (* (/ angle 180) (PI))) a))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (exp (log (* (cos (* (/ angle 180) (PI))) a))) 2) (exp (log (* (cos (* (/ angle 180) (PI))) a))))
187.0ms
t
@-inf
((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (exp (- (* (log (- 1 (/ 1 (+ (exp (neg s)) 1)))) c_n) (* (log (- 1 (/ 1 (+ (exp (neg t)) 1)))) c_n))) (- (* (log (- 1 (/ 1 (+ (exp (neg s)) 1)))) c_n) (* (log (- 1 (/ 1 (+ (exp (neg t)) 1)))) c_n)) (* (log (- 1 (/ 1 (+ (exp (neg s)) 1)))) c_n) (log (- 1 (/ 1 (+ (exp (neg s)) 1)))) (- 1 (/ 1 (+ (exp (neg s)) 1))) 1 (/ 1 (+ (exp (neg s)) 1)) (+ (exp (neg s)) 1) (exp (neg s)) (neg s) s c_n (* (log (- 1 (/ 1 (+ (exp (neg t)) 1)))) c_n) (log (- 1 (/ 1 (+ (exp (neg t)) 1)))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ 1 (+ (exp (neg t)) 1)) (+ (exp (neg t)) 1) (exp (neg t)) (neg t) t (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (exp (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p))) (- (* (neg (log (+ (exp (neg s)) 1))) c_p) (* (neg (log (+ (exp (neg t)) 1))) c_p)) (* (neg (log (+ (exp (neg s)) 1))) c_p) (neg (log (+ (exp (neg s)) 1))) (log (+ (exp (neg s)) 1)) c_p (* (neg (log (+ (exp (neg t)) 1))) c_p) (neg (log (+ (exp (neg t)) 1))) (log (+ (exp (neg t)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg s))))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (+ (* (+ (* (* (pow 1/2 (+ c_p c_n)) c_p) 1/2) (* (* (pow 1/2 (+ c_p c_n)) c_n) -1/2)) t) (pow 1/2 (+ c_p c_n))) (+ (* (* (pow 1/2 (+ c_p c_n)) c_p) 1/2) (* (* (pow 1/2 (+ c_p c_n)) c_n) -1/2)) (* (pow 1/2 (+ c_p c_n)) c_p) (pow 1/2 (+ c_p c_n)) 1/2 (+ c_p c_n) (* (* (pow 1/2 (+ c_p c_n)) c_n) -1/2) (* (pow 1/2 (+ c_p c_n)) c_n) -1/2)
184.0ms
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))) (* 1/4 (* a (* x-scale 4))) 1/4 (* a (* x-scale 4)) a (* x-scale 4) x-scale 4 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- 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176.0ms
a
@0
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y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))))) (/ (* (* (* a a) a) (* (* b b) 4)) (* x-scale (* y-scale y-scale))) (* (* (* a a) a) (* (* b b) 4)) (* (* a a) a) (* a a) (* (* b b) 4) (* b b) b (* x-scale (* y-scale y-scale)) (* y-scale y-scale) y-scale (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)) (* 4 (* (* b a) (* b (neg a)))) (* (* b a) (* b (neg a))) (* b a) (* b (neg a)) (neg a) (pow (* x-scale y-scale) 2) (* 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))))))) (/ (* 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))))))) -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)))) (* x-scale (* y-scale (sqrt 8))) (* y-scale (sqrt 8)) (sqrt 8) 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))))) (- (+ (/ (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))) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (pow (cos (* 1/180 (* angle (PI)))) 2) (cos (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (pow (sin (* 1/180 (* angle (PI)))) 2) (sin (* 1/180 (* angle (PI)))) (* 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))) (+ (* 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)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale))) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (* (* 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 (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale 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 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))))))) (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)))))) (sqrt (- (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))))) (- (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)))) (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* a (cos (* 1/180 (* angle (PI))))) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* a (sin (* 1/180 (* angle (PI))))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)) (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale))) (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow a 4) (pow (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2) (- (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale 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))) (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)))))) (* (/ (* (* a a) (* (* b b) (sqrt 8))) (* x-scale y-scale)) (sqrt (- (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)))))) (/ (* (* a a) (* (* b b) (sqrt 8))) (* x-scale y-scale)) (* (* a a) (* (* b b) (sqrt 8))) (* (* b b) (sqrt 8)) (sqrt (- (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))))) (- (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* b (cos (* 1/180 (* angle (PI))))) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* b (sin (* 1/180 (* angle (PI))))) (sqrt (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)) (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale))) (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow b 4) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2) (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))

eval24.4s (6.2%)

Memory
-386.3MiB live, 30 610.5MiB allocated; 10.2s collecting garbage
Compiler

Compiled 4 050 675 to 586 726 computations (85.5% saved)

prune17.8s (4.5%)

Memory
337.9MiB live, 27 519.8MiB allocated; 4.2s collecting garbage
Counts
95 249 → 6 083
Compiler

Compiled 621 662 to 407 747 computations (34.4% saved)

analyze16.3s (4.2%)

Memory
562.7MiB live, 20 860.6MiB allocated; 4.9s 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)

derivations14.4s (3.7%)

Memory
-90.2MiB live, 14 008.9MiB allocated; 1.9s collecting garbage
Stop Event
40×fuel
12×done
Compiler

Compiled 11 342 to 5 811 computations (48.8% saved)

preprocess10.1s (2.6%)

Memory
-370.3MiB live, 14 359.9MiB allocated; 3.0s collecting garbage
Stop Event
46×node-limit
6×saturated
Compiler

Compiled 109 070 to 61 829 computations (43.3% saved)

bsearch8.9s (2.3%)

Memory
235.9MiB live, 10 780.6MiB allocated; 1.5s collecting garbage
Algorithm
308×binary-search
110×left-value
Stop Event
297×narrow-enough
11×predicate-same
Samples
4.1s6 334×1valid
2.0s13 230×0valid
337.0ms632×2valid
235.0ms108×3valid
73.0ms886×0invalid
2.0ms1×5exit
2.0ms36×0exit
0.0ms1×1invalid
Compiler

Compiled 169 367 to 141 799 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0s
ival-sin: 1.5s (25.2% of total)
ival-cos: 1.5s (24.7% of total)
ival-mult!: 729.0ms (12.1% of total)
adjust: 486.0ms (8% of total)
ival-pow2: 383.0ms (6.3% of total)
ival-div!: 210.0ms (3.5% of total)
ival-sinu: 185.0ms (3.1% of total)
ival-cosu: 177.0ms (2.9% of total)
ival-atan2: 153.0ms (2.5% of total)
ival-sub!: 143.0ms (2.4% of total)
ival-sqrt: 126.0ms (2.1% of total)
ival-acos: 99.0ms (1.6% of total)
ival-add!: 96.0ms (1.6% of total)
ival-neg: 67.0ms (1.1% of total)
ival-exp: 35.0ms (0.6% of total)
ival-atan: 33.0ms (0.5% of total)
ival-hypot: 31.0ms (0.5% of total)
ival-tan: 28.0ms (0.5% of total)
ival-asin: 16.0ms (0.3% of total)
ival-log: 13.0ms (0.2% of total)
ival-pow: 10.0ms (0.2% of total)
ival-fabs: 7.0ms (0.1% of total)
ival-log1p: 1.0ms (0% of total)

start3.0ms (0%)

Memory
7.0MiB live, 7.1MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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