Herbie run

Date:Tuesday, March 18th, 2025
Commit:78869eed on main
Seed:2025077
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:553 649.0 MB

Time bar (total: 8.4min)

sample3.9min (46.1%)

Memory
2 425.8MiB live, 237 601.5MiB allocated; 1.1min collecting garbage
Samples
57.4s120 084×1valid
54.2s18 015×5exit
42.6s281 342×0valid
19.1s24 730×2valid
9.0s3 127×3valid
6.5s34 934×0exit
3.4s12 345×1invalid
2.9s19 945×0invalid
500.0ms855×2invalid
335.0ms29×4valid
22.0ms32×1exit
6.0ms2exit
1.0ms3exit
Precisions
Click to see histograms. Total time spent on operations: 2.9min
ival-pow: 44.5s (25.9% of total)
ival-mult: 19.2s (11.2% of total)
adjust: 16.9s (9.8% of total)
ival-cos: 11.1s (6.5% of total)
ival-div: 11.1s (6.5% of total)
ival-pow2: 9.8s (5.7% of total)
ival-sin: 8.9s (5.2% of total)
ival-sub: 7.3s (4.2% of total)
ival-add: 6.3s (3.7% of total)
ival-sqrt: 6.2s (3.6% of total)
ival-cosu: 6.2s (3.6% of total)
ival-sinu: 5.8s (3.4% of total)
ival-exp: 5.6s (3.2% of total)
ival-log: 4.0s (2.4% of total)
ival-neg: 2.3s (1.3% of total)
ival-tan: 1.2s (0.7% of total)
ival-log1p: 1.0s (0.6% of total)
ival-atan2: 762.0ms (0.4% of total)
ival-hypot: 574.0ms (0.3% of total)
ival-acos: 469.0ms (0.3% of total)
ival-cbrt: 433.0ms (0.3% of total)
ival-pi: 412.0ms (0.2% of total)
const: 397.0ms (0.2% of total)
exact: 369.0ms (0.2% of total)
ival-atan: 303.0ms (0.2% of total)
ival-fabs: 225.0ms (0.1% of total)
ival-assert: 182.0ms (0.1% of total)
ival-asin: 131.0ms (0.1% of total)
ival-<: 83.0ms (0% of total)
ival-and: 55.0ms (0% of total)
ival-<=: 7.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite58.4s (11.6%)

Memory
971.5MiB live, 61 370.6MiB allocated; 14.9s collecting garbage
Stop Event
450×iter limit
187×node limit
unsound
saturated
Counts
53 721 → 80 398

regimes41.7s (8.3%)

Memory
-246.5MiB live, 49 790.1MiB allocated; 13.1s collecting garbage
Counts
18 839 → 836
Calls

155 calls:

3.5s
lambda2
2.9s
phi2
2.7s
phi1
2.5s
(-.f64 lambda1 lambda2)
2.4s
lambda1
Compiler

Compiled 19 353 to 15 394 computations (20.5% saved)

series36.8s (7.3%)

Memory
276.4MiB live, 43 504.7MiB allocated; 11.1s collecting garbage
Counts
7 528 → 46 193
Calls

1608 calls:

TimeVariablePointExpression
600.0ms
x-scale
@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)) (* -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 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 (* (/ x-scale (* a a)) (/ (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))))) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))))))) (* (/ x-scale (* a a)) (/ (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))))) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))))) (/ x-scale (* a a)) (/ (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))))) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))))) (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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)) (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* a (cos (* 1/180 (* angle (PI))))) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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)) (pow (* x-scale y-scale) 2))) (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)) (pow (* x-scale y-scale) 2)) (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (pow (* x-scale y-scale) 2) (* x-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 (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (* 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 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474.0ms
y-scale
@-inf
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angle 180) 180 (pow (* b (cos (* (/ angle 180) (PI)))) 2) (* b (cos (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI))) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (* a a) (* y-scale y-scale)) (- (* (/ (/ (* (* (* 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) y-scale)) (* (* 4 (/ (/ (+ (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 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) y-scale)) (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2)) (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow b 4) (pow (* x-scale y-scale) 2) (* (* 4 (/ (/ (+ (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) y-scale) (/ (pow (* (sin (* (* (PI) angle) 1/180)) b) 2) (* y-scale y-scale)) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2) (* (sin (* (* (PI) angle) 1/180)) b) (sin (* (* (PI) angle) 1/180)) (* (* (PI) angle) 1/180) (* (PI) angle))
237.0ms
ew
@0
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220.0ms
y-scale
@inf
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203.0ms
a
@0
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(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 (* (/ x-scale (cos (* 1/180 (* angle (PI))))) (/ (* y-scale (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))))) (* -90 (/ (* x-scale (* y-scale (+ (* -1 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale))))) (* angle (* (PI) (- (* b b) (* a a)))))) -90 (/ (* x-scale (* y-scale (+ (* -1 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale))))) (* angle (* (PI) (- (* b b) (* a a))))) (* x-scale (* y-scale (+ (* -1 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale))))) (* y-scale (+ (* -1 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale)))) (+ (* -1 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale))) -1 (/ (* b b) (* x-scale x-scale)) (* b b) b (* x-scale x-scale) (* angle (* (PI) (- (* b b) (* a a)))) (* (PI) (- (* b b) (* a a))) (- (* b b) (* a a)) (* a 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)) (* -1/2 (* (/ x-scale (* a a)) (/ (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))))) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))))))) (* (/ x-scale (* a a)) (/ (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))))) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))))) (/ x-scale (* a a)) (/ (* y-scale (- (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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))))) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))))) (* -2 (/ (* (* a a) (* y-scale (sin (* 1/180 (* angle (PI)))))) (* (* x-scale x-scale) (cos (* 1/180 (* angle (PI))))))) (/ (* (* a a) (* y-scale (sin (* 1/180 (* angle (PI)))))) (* (* x-scale x-scale) (cos (* 1/180 (* angle (PI)))))) (* (* a a) (* y-scale (sin (* 1/180 (* angle (PI)))))) (* y-scale (sin (* 1/180 (* angle (PI))))) (sin (* 1/180 (* angle (PI)))) (* (* x-scale x-scale) (cos (* 1/180 (* angle (PI))))) (cos (* 1/180 (* angle (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))) (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) (exp (* (log a) 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) (exp (* (log a) 2))))))) (/ (+ (* 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) (exp (* (log a) 2)))))) (+ (* 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))))) (* 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)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (exp (* (log a) 2))))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (exp (* (log a) 2)))) (- (* b b) (exp (* (log a) 2))) (exp (* (log a) 2)) (* (log a) 2) (log a))

eval25.7s (5.1%)

Memory
205.3MiB live, 33 002.1MiB allocated; 9.4s collecting garbage
Compiler

Compiled 13 426 581 to 599 376 computations (95.5% saved)

prune23.6s (4.7%)

Memory
-153.5MiB live, 36 380.2MiB allocated; 5.1s collecting garbage
Counts
112 489 → 5 690
Compiler

Compiled 959 980 to 365 744 computations (61.9% saved)

explain21.9s (4.3%)

Memory
-251.3MiB live, 25 477.7MiB allocated; 5.4s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity18435
+.f64#fcancellation172741
sin.f64#fsensitivity15815
sqrt.f64#foflow-rescue13470
-.f64#fcancellation9366
-.f64#fnan-rescue6580
log.f64#fsensitivity5702
/.f64#fo/n4430
/.f64#fo/o3610
/.f64#fu/u2690
*.f64#fn*o2490
exp.f64#fsensitivity17223
sqrt.f64#fuflow-rescue1510
/.f64#fu/n1430
/.f64#fn/o1120
cbrt.f64#foflow-rescue800
*.f64#fn*u800
/.f64#fn/u410
cbrt.f64#fuflow-rescue370
*.f64#fo*u360
*.f64#fu*o330
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)))))sensitivity206
pow.f64#fuflow-rescue80
pow.f64#fsensitivity70
log.f64#foflow-rescue30
Confusion
Predicted +Predicted -
+567564
-13236250
Precision
0.8109459845670192
Recall
0.9888482313991984
Confusion?
Predicted +Predicted MaybePredicted -
+56754321
-1323316219
Precision?
0.8085407239819005
Recall?
0.996340825927862
Freqs
test
numberfreq
06314
14672
21529
3355
4226
5124
664
722
84
92
Total Confusion?
Predicted +Predicted MaybePredicted -
+4300
-306
Precision?
0.9347826086956522
Recall?
1.0
Samples
3.8s7 776×1valid
2.4s16 538×0valid
2.1s2 036×2valid
466.0ms274×3valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 7.2s
ival-sin: 1.1s (15.2% of total)
ival-mult: 1.1s (14.6% of total)
adjust: 758.0ms (10.5% of total)
ival-cos: 725.0ms (10.1% of total)
ival-div: 542.0ms (7.5% of total)
ival-pow2: 474.0ms (6.6% of total)
ival-sub: 402.0ms (5.6% of total)
ival-exp: 358.0ms (5% of total)
ival-sinu: 342.0ms (4.8% of total)
ival-cosu: 326.0ms (4.5% of total)
ival-add: 288.0ms (4% of total)
ival-sqrt: 206.0ms (2.9% of total)
ival-log: 189.0ms (2.6% of total)
ival-neg: 78.0ms (1.1% of total)
ival-tan: 60.0ms (0.8% of total)
ival-atan2: 44.0ms (0.6% of total)
ival-hypot: 41.0ms (0.6% of total)
ival-atan: 34.0ms (0.5% of total)
ival-pow: 31.0ms (0.4% of total)
ival-pi: 24.0ms (0.3% of total)
ival-acos: 23.0ms (0.3% of total)
ival-true: 23.0ms (0.3% of total)
exact: 21.0ms (0.3% of total)
ival-cbrt: 19.0ms (0.3% of total)
ival-assert: 13.0ms (0.2% of total)
ival-fabs: 11.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)

analyze19.2s (3.8%)

Memory
367.5MiB live, 21 260.7MiB allocated; 5.6s collecting garbage
Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
17.2%13.7%65.7%20.6%0%0%0%1
25%19.6%58.5%20.6%0%1.3%0%2
35.2%26.6%48.9%20.6%0%3.8%0%3
42.3%31.7%43.1%20.6%0%4.5%0%4
47.9%35.6%38.7%20.6%0%5.1%0%5
51%37.6%36.1%20.6%0%5.7%0%6
54.4%39.7%33.2%20.6%0%6.5%0%7
56.2%40.7%31.8%20.6%0%6.8%0%8
59%42.5%29.5%20.6%0%7.4%0%9
60.3%43.2%28.4%20.6%0%7.7%0%10
62.1%44.3%27%20.6%0%8.1%0%11
63.6%45.1%25.8%20.6%0%8.5%0%12
Compiler

Compiled 1 826 to 963 computations (47.3% saved)

preprocess17.0s (3.4%)

Memory
843.0MiB live, 17 230.5MiB allocated; 4.4s collecting garbage
Stop Event
104×iter limit
92×node limit
12×saturated
Compiler

Compiled 250 399 to 67 713 computations (73% saved)

derivations14.2s (2.8%)

Memory
83.5MiB live, 12 770.3MiB allocated; 2.7s collecting garbage
Stop Event
41×fuel
11×done
Compiler

Compiled 43 355 to 5 699 computations (86.9% saved)

bsearch10.3s (2%)

Memory
54.8MiB live, 12 327.1MiB allocated; 1.9s collecting garbage
Algorithm
279×binary-search
100×left-value
Stop Event
277×narrow-enough
predicate-same
Samples
4.9s6 600×1valid
2.5s13 211×0valid
470.0ms664×2valid
162.0ms69×3valid
102.0ms906×0invalid
Compiler

Compiled 200 705 to 121 168 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.1s
ival-cos: 1.8s (25.4% of total)
ival-sin: 1.6s (22.9% of total)
ival-mult: 865.0ms (12.2% of total)
adjust: 676.0ms (9.5% of total)
ival-div: 372.0ms (5.3% of total)
ival-sub: 366.0ms (5.2% of total)
ival-pow2: 313.0ms (4.4% of total)
ival-add: 166.0ms (2.3% of total)
ival-atan2: 150.0ms (2.1% of total)
ival-sqrt: 140.0ms (2% of total)
ival-sinu: 134.0ms (1.9% of total)
ival-cosu: 116.0ms (1.6% of total)
ival-acos: 77.0ms (1.1% of total)
ival-exp: 48.0ms (0.7% of total)
ival-hypot: 41.0ms (0.6% of total)
ival-asin: 36.0ms (0.5% of total)
ival-neg: 33.0ms (0.5% of total)
ival-atan: 28.0ms (0.4% of total)
ival-tan: 24.0ms (0.3% of total)
ival-pi: 18.0ms (0.3% of total)
ival-true: 17.0ms (0.2% of total)
exact: 11.0ms (0.2% of total)
ival-assert: 10.0ms (0.1% of total)
ival-log: 10.0ms (0.1% of total)
ival-fabs: 7.0ms (0.1% of total)
ival-log1p: 3.0ms (0% of total)

simplify2.8s (0.6%)

Memory
-32.6MiB live, 2 926.4MiB allocated; 364ms collecting garbage
Stop Event
47×node limit
saturated

start3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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