Herbie run

Date:Sunday, May 11th, 2025
Commit:233bcfb0 on main
Seed:2025131
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:495 751.7 MB

Time bar (total: 6.8min)

sample2.9min (43.6%)

Memory
2 618.0MiB live, 205 708.2MiB allocated; 1.0min collecting garbage
Samples
47.6s119 305×1valid
35.7s281 091×0valid
20.4s4 123×4exit
15.6s25 613×2valid
9.1s11 427×5exit
6.8s3 285×3valid
6.0s35 287×0exit
2.7s19 821×0invalid
2.5s11 951×1invalid
352.0ms911×2invalid
307.0ms2 658×1exit
49.0ms18×4valid
1.0ms1×3exit
Precisions
Click to see histograms. Total time spent on operations: 2.1min
ival-pow: 23.4s (18.9% of total)
adjust: 12.8s (10.4% of total)
ival-cos: 12.4s (10% of total)
ival-mult!: 12.2s (9.9% of total)
ival-pow2: 8.2s (6.7% of total)
ival-sin: 8.1s (6.6% of total)
ival-exp: 7.3s (5.9% of total)
ival-div!: 7.3s (5.9% of total)
ival-sinu: 5.4s (4.3% of total)
ival-cosu: 4.8s (3.9% of total)
ival-log: 4.1s (3.3% of total)
ival-add!: 4.0s (3.2% of total)
ival-sub!: 3.7s (3% of total)
ival-sqrt: 3.5s (2.8% of total)
ival-neg: 2.2s (1.8% of total)
ival-atan2: 980.0ms (0.8% of total)
ival-hypot: 738.0ms (0.6% of total)
ival-tan: 701.0ms (0.6% of total)
ival-atan: 514.0ms (0.4% of total)
ival-acos: 461.0ms (0.4% of total)
ival-cbrt: 246.0ms (0.2% of total)
ival-fabs: 165.0ms (0.1% of total)
ival-log1p: 115.0ms (0.1% of total)
ival-asin: 115.0ms (0.1% of total)
ival-<: 67.0ms (0.1% of total)
ival-and: 45.0ms (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

rewrite53.6s (13.2%)

Memory
1 091.4MiB live, 59 680.7MiB allocated; 16.5s collecting garbage
Stop Event
449×iter-limit
186×node-limit
6×unsound
4×saturated
Counts
43 105 → 68 351

regimes34.1s (8.4%)

Memory
-262.7MiB live, 47 952.0MiB allocated; 11.9s collecting garbage
Counts
19 124 → 898
Calls

155 calls:

2.5s
phi2
2.3s
phi1
2.3s
(-.f64 lambda1 lambda2)
1.9s
a
1.9s
lambda1
Compiler

Compiled 15 211 to 14 881 computations (2.2% saved)

series33.9s (8.4%)

Memory
676.1MiB live, 43 491.4MiB allocated; 12.2s collecting garbage
Counts
7 602 → 35 503
Calls

1605 calls:

TimeVariablePointExpression
859.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* a (+ (* a (+ (* (/ (* (* (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) 20) a) b) -1/4) (* (/ (* (* c c) c) (pow b 5)) -2))) (neg (/ (* c c) (* (* b b) b))))) (/ (neg c) b)) a (+ (* a (+ (* (/ (* (* (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) 20) a) b) -1/4) (* (/ (* (* c c) c) (pow b 5)) -2))) (neg (/ (* c c) (* (* b b) b)))) (+ (* (/ (* (* (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) 20) a) b) -1/4) (* (/ (* (* c c) c) (pow b 5)) -2)) (/ (* (* (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) 20) a) b) (* (* (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) 20) a) (* (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) 20) (/ (* (* c c) (* c c)) (* (* (* b b) b) (* (* b b) b))) (* (* c c) (* c c)) (* c c) c (* (* (* b b) b) (* (* b b) b)) (* (* b b) b) (* b b) b 20 -1/4 (* (/ (* (* c c) c) (pow b 5)) -2) (/ (* (* c c) c) (pow b 5)) (* (* c c) c) (pow b 5) 5 -2 (neg (/ (* c c) (* (* b b) b))) (/ (* c c) (* (* b b) b)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 (neg b) (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* (- (/ (* b b) c) (* a 4)) c) (- (/ (* b b) c) (* a 4)) (/ (* b b) c) (* a 4) 4 (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (+ (* (/ (* (* a a) (* (* c c) c)) (* (* b b) (* b b))) -2) (neg c)) (neg (/ (* (* c c) a) (* b b)))) b) (+ (+ (* (/ (* (* a a) (* (* c c) c)) (* (* b b) (* b b))) -2) (neg c)) (neg (/ (* (* c c) a) (* b b)))) (+ (* (/ (* (* a a) (* (* c c) c)) (* (* b b) (* b b))) -2) (neg c)) (/ (* (* a a) (* (* c c) c)) (* (* b b) (* b b))) (* (* a a) (* (* c c) c)) (* a a) (* (* b b) (* b b)) (neg (/ (* (* c c) a) (* b b))) (/ (* (* c c) a) (* b b)) (* (* c c) a))
517.0ms
x-scale
@-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 (* a (* x-scale 4))) (* a x-scale) a x-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) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 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 (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)))))))) 1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 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 (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2))))))) (* x-scale (* y-scale (sqrt 8))) (* y-scale (sqrt 8)) y-scale (sqrt 8) 8 (sqrt (- (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 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 (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)) (* 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 (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2))))) (- (/ (* a a) (* y-scale y-scale)) (* -1 (/ (* a a) (* y-scale y-scale)))) (/ (* a a) (* y-scale y-scale)) (* a a) (* y-scale y-scale) (* -1 (/ (* a a) (* y-scale y-scale))) -1 (/ (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)))) (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) 2 (/ (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)))) 4) (pow y-scale 4)) (pow (cos (* 1/180 (* angle (PI)))) 4) 4 (pow y-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 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 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 (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)))))))) (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 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 (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2))))))) (sqrt (- (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 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 (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)))))) (* a (sqrt (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (* 1/2 (/ (+ (* -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)))) (pow (sin (* 1/180 (* angle (PI)))) 2)))))) (sqrt (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (* 1/2 (/ (+ (* -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)))) (pow (sin (* 1/180 (* angle (PI)))) 2))))) (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (* 1/2 (/ (+ (* -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)))) (pow (sin (* 1/180 (* angle (PI)))) 2)))) (* 1/2 (/ (+ (* -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)))) (pow (sin (* 1/180 (* angle (PI)))) 2))) 1/2 (/ (+ (* -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)))) (pow (sin (* 1/180 (* angle (PI)))) 2)) (+ (* -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)) (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) (* 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 (* (* 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)))))) (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 (* x-scale (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* x-scale x-scale)) (+ (/ (pow (* x-scale (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (sin (* 1/180 (* angle (PI)))) 2)) (/ (pow (* x-scale (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (* x-scale (cos (* 1/180 (* angle (PI))))) 2) (* x-scale (cos (* 1/180 (* angle (PI))))) (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))) (* (* 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))))
306.0ms
eh
@inf
((fabs (+ (* (* (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) (tanh (asinh (/ eh (* ew (tan t))))))) (* (sin t) ew) (sin t) t ew (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) 1 (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (cos t) eh) (cos t) eh (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* ew (tan t)) (tan t) (fabs (+ (* (* (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) (tanh (asinh (/ eh (* ew (tan t))))))) (* ew (sin t)) (fabs (+ (* (* ew (sin t)) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))) (* (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))))) (+ (* (* ew (sin t)) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))) (* (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))))) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))) (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))) (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh (* t ew)) (* t ew) (* (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))) (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))) (fabs (+ (* (* (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) (tanh (asinh (/ eh (* ew (tan t))))))) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))) (/ (+ (* 1/2 (/ (* ew (* (* t t) (- 1 (* 2/3 (/ (* eh eh) (* ew ew)))))) eh)) (/ eh ew)) t) (+ (* 1/2 (/ (* ew (* (* t t) (- 1 (* 2/3 (/ (* eh eh) (* ew ew)))))) eh)) (/ eh ew)) 1/2 (/ (* ew (* (* t t) (- 1 (* 2/3 (/ (* eh eh) (* ew ew)))))) eh) (* ew (* (* t t) (- 1 (* 2/3 (/ (* eh eh) (* ew ew)))))) (* (* t t) (- 1 (* 2/3 (/ (* eh eh) (* ew ew))))) (* t t) (- 1 (* 2/3 (/ (* eh eh) (* ew ew)))) (* 2/3 (/ (* eh eh) (* ew ew))) 2/3 (/ (* eh eh) (* ew ew)) (* eh eh) (* ew ew) (/ eh ew) (* (sqrt (+ (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))))) (sqrt (+ (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t))))))))) (sqrt (+ (* (* (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) (tanh (asinh (/ eh (* ew (tan t))))))) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))) (+ 1 (pow (/ eh (* ew (tan t))) 2)) (pow (/ eh (* ew (tan t))) 2) 2)
282.0ms
ew
@0
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (tan t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (cos t) ew) (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))) (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)) (pow (* (neg eh) (/ (tan t) ew)) 2) 2 (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))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2) (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))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (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)) (* (neg eh) t) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))) (* (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))
241.0ms
t
@0
((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t))))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) ew (sin t) t (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) eh (tan t) (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (cos t) eh) (cos t) (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* 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)))))) (* (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)) (* (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)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh (* t ew)) (* t ew) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))) (fabs (+ (* (* (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) (tanh (asinh (/ eh (* ew (tan 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)))))) (* (+ (* (cos t) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))) (/ (* (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (sin t)) eh)) eh) (+ (* (cos t) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew))))) (/ (* (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (sin t)) eh)) (/ (* (* (/ 1 (sqrt (+ 1 (pow (/ (* (cos t) eh) (* (sin t) ew)) 2)))) ew) (sin t)) eh) (* (* (/ 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))

eval29.6s (7.3%)

Memory
-67.0MiB live, 40 855.3MiB allocated; 12.1s collecting garbage
Compiler

Compiled 3 987 554 to 489 617 computations (87.7% saved)

prune19.2s (4.7%)

Memory
-216.7MiB live, 29 081.2MiB allocated; 5.3s collecting garbage
Counts
71 558 → 5 847
Compiler

Compiled 616 961 to 380 427 computations (38.3% saved)

analyze17.7s (4.3%)

Memory
-139.5MiB live, 18 677.0MiB allocated; 7.4s 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)

derivations16.9s (4.2%)

Memory
-267.4MiB live, 16 566.1MiB allocated; 4.0s collecting garbage
Stop Event
44×fuel
8×done
Compiler

Compiled 12 776 to 6 027 computations (52.8% saved)

bsearch12.9s (3.2%)

Memory
73.3MiB live, 17 957.8MiB allocated; 4.8s collecting garbage
Algorithm
316×binary-search
102×left-value
Stop Event
306×narrow-enough
10×predicate-same
Samples
6.3s8 196×1valid
3.2s13 484×0valid
362.0ms586×2valid
174.0ms54×3valid
85.0ms742×0invalid
0.0ms10×0exit
0.0ms1×1invalid
Compiler

Compiled 211 143 to 159 886 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.2s
ival-cos: 3.2s (34.9% of total)
ival-sin: 2.2s (24.2% of total)
ival-mult!: 784.0ms (8.5% of total)
adjust: 689.0ms (7.5% of total)
ival-pow2: 524.0ms (5.7% of total)
ival-atan2: 277.0ms (3% of total)
ival-cosu: 226.0ms (2.5% of total)
ival-div!: 216.0ms (2.4% of total)
ival-sinu: 187.0ms (2% of total)
ival-sub!: 173.0ms (1.9% of total)
ival-sqrt: 169.0ms (1.8% of total)
ival-add!: 141.0ms (1.5% of total)
ival-acos: 127.0ms (1.4% of total)
ival-neg: 97.0ms (1.1% of total)
ival-atan: 31.0ms (0.3% of total)
ival-tan: 29.0ms (0.3% of total)
ival-hypot: 29.0ms (0.3% of total)
ival-exp: 26.0ms (0.3% of total)
ival-asin: 19.0ms (0.2% of total)
ival-fabs: 4.0ms (0% of total)
ival-log: 4.0ms (0% of total)
ival-pow: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)

preprocess11.2s (2.7%)

Memory
-224.4MiB live, 15 774.0MiB allocated; 3.5s collecting garbage
Stop Event
51×node-limit
1×saturated
Compiler

Compiled 145 986 to 81 089 computations (44.5% saved)

start3.0ms (0%)

Memory
7.2MiB live, 7.1MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...