Herbie run

Date:Saturday, March 29th, 2025
Commit:775c1039 on always-constant-fold
Seed:2025088
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:515 317.6 MB

Time bar (total: 6.8min)

sample2.8min (41.5%)

Memory
2 162.3MiB live, 209 719.4MiB allocated; 48.9s collecting garbage
Samples
45.2s119 214×1valid
35.1s281 558×0valid
18.0s3 958×4exit
16.6s25 266×2valid
7.9s11 495×5exit
6.7s3 246×3valid
5.2s34 565×0exit
1.9s19 431×0invalid
1.9s11 888×1invalid
423.0ms904×2invalid
230.0ms2 704×1exit
103.0ms28×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 20.8s (17.7% of total)
ival-mult!: 14.1s (12% of total)
ival-cos: 10.8s (9.2% of total)
adjust: 10.3s (8.8% of total)
ival-sin: 8.8s (7.6% of total)
ival-pow2: 7.7s (6.6% of total)
ival-div!: 7.0s (6% of total)
ival-exp: 6.4s (5.5% of total)
ival-cosu: 5.6s (4.8% of total)
ival-sinu: 5.1s (4.3% of total)
ival-sqrt: 4.2s (3.6% of total)
ival-log: 3.6s (3.1% of total)
ival-sub!: 3.1s (2.6% of total)
ival-add!: 2.8s (2.4% of total)
ival-neg: 1.9s (1.6% of total)
ival-fabs: 1.2s (1% of total)
ival-atan2: 817.0ms (0.7% of total)
ival-acos: 613.0ms (0.5% of total)
ival-hypot: 606.0ms (0.5% of total)
ival-tan: 602.0ms (0.5% of total)
ival-cbrt: 471.0ms (0.4% of total)
ival-atan: 306.0ms (0.3% of total)
ival-log1p: 174.0ms (0.1% of total)
ival-asin: 140.0ms (0.1% of total)
ival-<: 66.0ms (0.1% of total)
ival-and: 48.0ms (0% of total)
ival-assert: 8.0ms (0% of total)
ival-<=: 6.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite53.3s (13.1%)

Memory
976.9MiB live, 62 764.3MiB allocated; 14.1s collecting garbage
Stop Event
446×iter-limit
187×node-limit
6×unsound
4×saturated
Counts
52 398 → 77 792

regimes32.3s (7.9%)

Memory
-363.5MiB live, 44 202.7MiB allocated; 11.7s collecting garbage
Counts
17 993 → 854
Calls

155 calls:

4.2s
phi1
2.4s
phi2
1.9s
lambda1
1.8s
lambda2
1.5s
(-.f64 lambda1 lambda2)
Compiler

Compiled 18 981 to 14 852 computations (21.8% saved)

series29.9s (7.3%)

Memory
15.3MiB live, 41 472.3MiB allocated; 7.5s collecting garbage
Counts
7 491 → 44 907
Calls

1605 calls:

TimeVariablePointExpression
208.0ms
a
@0
((* 180 (/ (atan (/ (- (- (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI))) 180 (/ (atan (/ (- (- (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (PI)) (atan (/ (- (- (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale))) (/ (- (- (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale)) (* -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))))) -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))))) (/ y-scale x-scale) y-scale x-scale (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))) (* 2 (/ (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))))) 2 (/ (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (cos (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (sin (* 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)) (* 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)))))) (* -180 (/ x-scale (* angle (* y-scale (PI))))) -180 (/ x-scale (* angle (* y-scale (PI)))) (* angle (* y-scale (PI))) (* 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))) (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))))) (+ (* -2 (/ x-scale (* angle (* y-scale (PI))))) (* (* b b) (- (* 2 (/ y-scale (* (* a a) (* angle (* x-scale (PI)))))) (* 2 (/ x-scale (* (* a a) (* angle (* y-scale (PI))))))))) -2 (* (* b b) (- (* 2 (/ y-scale (* (* a a) (* angle (* x-scale (PI)))))) (* 2 (/ x-scale (* (* a a) (* angle (* y-scale (PI)))))))) (* b b) b (- (* 2 (/ y-scale (* (* a a) (* angle (* x-scale (PI)))))) (* 2 (/ x-scale (* (* a a) (* angle (* y-scale (PI))))))) (* 2 (/ y-scale (* (* a a) (* angle (* x-scale (PI)))))) (/ y-scale (* (* a a) (* angle (* x-scale (PI))))) (* (* a a) (* angle (* x-scale (PI)))) (* a a) a (* angle (* x-scale (PI))) (* x-scale (PI)) (* 2 (/ x-scale (* (* a a) (* angle (* y-scale (PI)))))) (/ x-scale (* (* a a) (* angle (* y-scale (PI))))) (* (* a a) (* angle (* 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))) (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))))))) (* (/ 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))) (* (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 (* b b)) (* (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)) (* 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))) (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))
208.0ms
s
@-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 (- (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (neg (log (+ 1 (exp (neg t))))) c_p))) (- (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (neg (log (+ 1 (exp (neg t))))) c_p)) (* (neg (log (+ 1 (exp (neg s))))) c_p) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (exp (neg s)) (neg s) s c_p (* (neg (log (+ 1 (exp (neg t))))) c_p) (neg (log (+ 1 (exp (neg t))))) (log (+ 1 (exp (neg t)))) (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))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 (+ c_p c_n)) 1/2 (+ c_p c_n) c_n (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ 1 (+ 1 (exp (neg t)))) 1 (+ 1 (exp (neg t))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg 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))) (* (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 (+ 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 (pow (+ (exp (neg s)) 1) -1)) c_n) (pow (- 1 (pow (+ (exp (neg t)) 1) -1)) c_n)) (pow (- 1 (pow (+ (exp (neg s)) 1) -1)) c_n) (- 1 (pow (+ (exp (neg s)) 1) -1)) (pow (+ (exp (neg s)) 1) -1) (+ (exp (neg s)) 1) -1 (pow (- 1 (pow (+ (exp (neg t)) 1) -1)) c_n) (- 1 (pow (+ (exp (neg t)) 1) -1)) (pow (+ (exp (neg t)) 1) -1) (+ (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
174.0ms
t
@-inf
((fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh t) t ew (sin t) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (cos (atan (neg (* (/ eh ew) (tan t))))) (atan (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (tan t) (cos t) (fabs (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) (/ (pow (* eh t) 2) ew) (pow (* eh t) 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))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* -1 (/ (* eh (* t t)) (* ew ew))) (/ (* eh (* t t)) (* ew ew)) (* eh (* t t)) (* t t) (* ew ew) (* (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew)))) (atan (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))))
169.0ms
ew
@0
((fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh t) t ew (sin t) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)) (cos (atan (neg (* (/ eh ew) (tan t))))) (atan (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (tan t) (cos t) (fabs (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) (/ (pow (* eh t) 2) ew) (pow (* eh t) 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))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* -1 (/ (* eh (* t t)) (* ew ew))) (/ (* eh (* t t)) (* ew ew)) (* eh (* t t)) (* t t) (* ew ew) (* (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (sqrt (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) ew) (cos (atan (* (neg eh) (/ (tan t) ew)))) (atan (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))))
136.0ms
t
@inf
((fabs (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (* ew (cos t)) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* ew (cos t)) ew (cos t) 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) (* (neg eh) (/ (tan t) ew)) (neg eh) eh (/ (tan t) ew) (tan t) 2 (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* eh (sin t)) (sin t) (sin (atan (/ (* (neg eh) (tan t)) ew))) (atan (/ (* (neg eh) (tan t)) ew)) (/ (* (neg eh) (tan t)) ew) (* (neg eh) (tan t)) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) ew) (cos (atan (neg (* (/ eh ew) (tan t))))) (atan (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (neg (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t))) (* (cos (atan (neg (* (/ eh ew) (tan t))))) (cos t)))

prune23.9s (5.8%)

Memory
180.9MiB live, 37 299.9MiB allocated; 5.5s collecting garbage
Counts
107 467 → 5 765
Compiler

Compiled 952 679 to 364 958 computations (61.7% saved)

eval22.7s (5.6%)

Memory
-79.1MiB live, 31 335.6MiB allocated; 9.8s collecting garbage
Compiler

Compiled 11 913 127 to 561 317 computations (95.3% saved)

explain21.8s (5.3%)

Memory
-517.6MiB live, 26 072.6MiB allocated; 7.2s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity19553
+.f64#fcancellation168139
sin.f64#fsensitivity16542
sqrt.f64#foflow-rescue13670
-.f64#fcancellation9307
-.f64#fnan-rescue5990
log.f64#fsensitivity5940
/.f64#fo/n4430
/.f64#fo/o3640
/.f64#fu/u2970
*.f64#fn*o2330
exp.f64#fsensitivity16825
sqrt.f64#fuflow-rescue1510
/.f64#fu/n1420
/.f64#fn/o1050
*.f64#fn*u930
cbrt.f64#foflow-rescue860
cbrt.f64#fuflow-rescue510
/.f64#fn/u460
*.f64#fo*u300
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)))))sensitivity273
*.f64#fu*o260
pow.f64#fsensitivity150
pow.f64#fuflow-rescue140
log.f64#foflow-rescue40
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue10
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow73
↳(exp.f64 b)underflow56
Confusion
Predicted +Predicted -
+573067
-13726143
Precision
0.8068149816952971
Recall
0.9884422977402104
Confusion?
Predicted +Predicted MaybePredicted -
+57303829
-1372376106
Precision?
0.8036784171659468
Recall?
0.994997412454718
Freqs
test
numberfreq
06210
14723
21574
3350
4232
5142
661
714
83
91
102
Total Confusion?
Predicted +Predicted MaybePredicted -
+4300
-207
Precision?
0.9555555555555556
Recall?
1.0
Samples
4.5s16 478×0valid
3.1s7 670×1valid
2.0s2 180×2valid
388.0ms296×3valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 8.1s
ival-sub!: 2.0s (25.4% of total)
ival-sin: 1.2s (15.1% of total)
ival-cos: 754.0ms (9.3% of total)
ival-mult!: 734.0ms (9.1% of total)
ival-div!: 660.0ms (8.2% of total)
adjust: 517.0ms (6.4% of total)
ival-pow2: 377.0ms (4.7% of total)
ival-sinu: 292.0ms (3.6% of total)
ival-cosu: 266.0ms (3.3% of total)
ival-log: 250.0ms (3.1% of total)
ival-exp: 236.0ms (2.9% of total)
ival-sqrt: 178.0ms (2.2% of total)
ival-add!: 127.0ms (1.6% of total)
ival-neg: 85.0ms (1.1% of total)
ival-hypot: 84.0ms (1% of total)
ival-pow: 54.0ms (0.7% of total)
ival-tan: 50.0ms (0.6% of total)
ival-atan2: 43.0ms (0.5% of total)
ival-atan: 28.0ms (0.3% of total)
ival-acos: 26.0ms (0.3% of total)
ival-cbrt: 19.0ms (0.2% of total)
ival-fabs: 13.0ms (0.2% of total)
ival-asin: 6.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)

analyze17.4s (4.3%)

Memory
-212.8MiB live, 20 358.4MiB allocated; 7.0s 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)

preprocess15.1s (3.7%)

Memory
371.0MiB live, 17 643.2MiB allocated; 3.8s collecting garbage
Stop Event
104×iter-limit
92×node-limit
12×saturated
Compiler

Compiled 242 977 to 63 771 computations (73.8% saved)

derivations13.7s (3.4%)

Memory
-81.2MiB live, 13 313.1MiB allocated; 1.4s collecting garbage
Stop Event
42×fuel
10×done
Compiler

Compiled 42 498 to 5 676 computations (86.6% saved)

bsearch8.9s (2.2%)

Memory
132.6MiB live, 11 128.6MiB allocated; 1.1s collecting garbage
Algorithm
323×binary-search
72×left-value
Stop Event
309×narrow-enough
14×predicate-same
Samples
4.2s7 309×1valid
1.9s13 126×0valid
432.0ms935×2valid
156.0ms102×3valid
107.0ms956×0invalid
2.0ms8×1invalid
1.0ms2×4exit
0.0ms3×0exit
0.0ms1×2invalid
Compiler

Compiled 236 692 to 144 392 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0s
ival-cos: 1.7s (27.6% of total)
ival-sin: 1.6s (26.2% of total)
ival-mult!: 684.0ms (11.4% of total)
adjust: 470.0ms (7.8% of total)
ival-pow2: 284.0ms (4.7% of total)
ival-div!: 232.0ms (3.9% of total)
ival-sqrt: 186.0ms (3.1% of total)
ival-sub!: 153.0ms (2.5% of total)
ival-sinu: 134.0ms (2.2% of total)
ival-atan2: 131.0ms (2.2% of total)
ival-cosu: 122.0ms (2% of total)
ival-add!: 79.0ms (1.3% of total)
ival-acos: 75.0ms (1.2% of total)
ival-exp: 61.0ms (1% of total)
ival-neg: 43.0ms (0.7% of total)
ival-tan: 37.0ms (0.6% of total)
ival-atan: 31.0ms (0.5% of total)
ival-log: 15.0ms (0.2% of total)
ival-fabs: 11.0ms (0.2% of total)
ival-hypot: 11.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-pow: 6.0ms (0.1% of total)
ival-log1p: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start3.0ms (0%)

Memory
6.9MiB live, 6.8MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

Loading profile data...