Herbie run

Date:Wednesday, February 26th, 2025
Commit:3f31581c on chassis-platforms-cleanup
Seed:2025057
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:2 912 796.3 MB

Time bar (total: 32.5min)

prune25.5min (78.6%)

Memory
4 860.4MiB live, 2 349 287.8MiB allocated; 2.3min collecting garbage
Counts
132 641 → 2 046
Compiler

Compiled 407 959 to 145 408 computations (64.4% saved)

sample3.2min (9.8%)

Memory
1 750.4MiB live, 250 123.8MiB allocated; 28.0s collecting garbage
Samples
51.0s18 094×5exit
46.9s120 041×1valid
33.0s281 287×0valid
16.5s24 751×2valid
6.1s3 211×3valid
4.8s34 788×0exit
2.5s12 368×1invalid
2.3s19 855×0invalid
525.0ms22×4valid
410.0ms883×2invalid
25.0ms41×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.4min
ival-pow: 42.4s (29.6% of total)
ival-mult: 15.1s (10.6% of total)
adjust: 13.9s (9.7% of total)
ival-cos: 10.6s (7.4% of total)
ival-div: 8.6s (6% of total)
ival-sin: 7.4s (5.2% of total)
ival-pow2: 6.5s (4.6% of total)
ival-exp: 6.1s (4.2% of total)
ival-sub: 5.4s (3.8% of total)
ival-add: 4.8s (3.4% of total)
ival-sinu: 4.5s (3.1% of total)
ival-cosu: 4.2s (2.9% of total)
ival-log: 3.6s (2.5% of total)
ival-sqrt: 3.1s (2.2% of total)
ival-neg: 1.5s (1.1% of total)
ival-log1p: 934.0ms (0.7% of total)
ival-atan2: 716.0ms (0.5% of total)
ival-tan: 602.0ms (0.4% of total)
ival-hypot: 543.0ms (0.4% of total)
ival-cbrt: 535.0ms (0.4% of total)
ival-atan: 428.0ms (0.3% of total)
exact: 376.0ms (0.3% of total)
const: 353.0ms (0.2% of total)
ival-acos: 334.0ms (0.2% of total)
ival-assert: 180.0ms (0.1% of total)
ival-fabs: 151.0ms (0.1% of total)
ival-asin: 126.0ms (0.1% of total)
ival-pi: 109.0ms (0.1% of total)
ival-<: 67.0ms (0% of total)
ival-and: 53.0ms (0% of total)
ival-<=: 7.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite56.9s (2.9%)

Memory
899.0MiB live, 73 341.4MiB allocated; 9.3s collecting garbage
Stop Event
409×iter limit
163×node limit
11×unsound
1×saturated
Counts
70 217 → 91 235

series55.0s (2.8%)

Memory
-12.5MiB live, 71 604.9MiB allocated; 11.5s collecting garbage
Counts
8 506 → 61 711
Calls

1497 calls:

TimeVariablePointExpression
5.1s
lambda1
@0
((* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (/ (pow (* (cos lambda1) (cos lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ (pow (* (sin lambda1) (sin lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (/ (pow (* (cos lambda1) (cos lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ (pow (* (sin lambda1) (sin lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (/ (pow (* (cos lambda1) (cos lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ (pow (* (sin lambda1) (sin lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sin phi1) (sin phi2)) (sin phi1) phi1 (sin phi2) phi2 (* (* (cos phi1) (cos phi2)) (+ (/ (pow (* (cos lambda1) (cos lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ (pow (* (sin lambda1) (sin lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (+ (/ (pow (* (cos lambda1) (cos lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ (pow (* (sin lambda1) (sin lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ (pow (* (cos lambda1) (cos lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (* (cos lambda1) (cos lambda2)) 3) (* (cos lambda1) (cos lambda2)) (cos lambda1) lambda1 (cos lambda2) lambda2 3 (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (cos lambda1) (cos lambda2)) 2) 2 (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (sin lambda1) (sin lambda2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (/ (pow (* (sin lambda1) (sin lambda2)) 3) (+ (pow (* (cos lambda1) (cos lambda2)) 2) (- (pow (* (sin lambda1) (sin lambda2)) 2) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (* (sin lambda1) (sin lambda2)) 3) R (* (acos (+ (/ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 3) (+ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2) (- (pow (* (sin phi2) (sin phi1)) 2) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1)))))) (/ (pow (* (sin phi2) (sin phi1)) 3) (+ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2) (- (pow (* (sin phi2) (sin phi1)) 2) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1)))))))) R) (acos (+ (/ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 3) (+ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2) (- (pow (* (sin phi2) (sin phi1)) 2) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1)))))) (/ (pow (* (sin phi2) (sin phi1)) 3) (+ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2) (- (pow (* (sin phi2) (sin phi1)) 2) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1)))))))) (+ (/ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 3) (+ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2) (- (pow (* (sin phi2) (sin phi1)) 2) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1)))))) (/ (pow (* (sin phi2) (sin phi1)) 3) (+ (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2) (- (pow (* (sin phi2) (sin phi1)) 2) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))))) (+ (* lambda2 (- (+ (* lambda2 (- (+ (* lambda2 (- (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* -1 (* (pow (cos lambda1) 2) (sin lambda1))) (+ (* -1/6 (* (pow (cos lambda1) 2) (sin lambda1))) (+ (* (cos lambda1) (+ (* -1 (* (cos lambda1) (sin lambda1))) (* -1/3 (* (cos lambda1) (sin lambda1))))) (* (sin lambda1) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (pow (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) 2))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 3))) (/ (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2))) (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2))))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))) (+ (* -1 (/ (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (* (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 3))) (+ (/ (* (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) (- (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* -1/2 (pow (cos lambda1) 3)) (+ (* 2 (* (cos lambda1) (pow (sin lambda1) 2))) (* (cos lambda1) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2))))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (+ (/ (* (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) (- (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* 2 (* (pow (cos lambda1) 2) (sin lambda1))) (* (pow (cos lambda1) 2) (sin lambda1))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (/ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (/ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (+ (/ (* (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (- (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* 2 (* (pow (cos lambda1) 2) (sin lambda1))) (* (pow (cos lambda1) 2) (sin lambda1))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (/ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (/ (+ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (* (cos lambda1) (sin lambda1))) (* -1/3 (* (cos lambda1) (sin lambda1)))))) (* -1/6 (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))))))) (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (* (cos lambda1) (sin lambda1))) (* -1/3 (* (cos lambda1) (sin lambda1)))))) (* -1/6 (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)))))))) (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* -1/2 (pow (cos lambda1) 3)) (+ (* 2 (* (cos lambda1) (pow (sin lambda1) 2))) (* (cos lambda1) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2))))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))) (+ (* -1 (/ (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (pow (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) 2))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 3))) (+ (/ (* (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) (- (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* 2 (* (pow (cos lambda1) 2) (sin lambda1))) (* (pow (cos lambda1) 2) (sin lambda1))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (/ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (/ (+ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))))) (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)))))) (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* 2 (* (pow (cos lambda1) 2) (sin lambda1))) (* (pow (cos lambda1) 2) (sin lambda1))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))) (/ (+ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2))))))))) (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)))) (/ (+ (* (pow (cos lambda1) 3) (pow (* (cos phi1) (cos phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))) (- (+ (* lambda2 (- (+ (* lambda2 (- (/ (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (+ (* -1 (* (pow (cos lambda1) 2) (sin lambda1))) (+ (* -1/6 (* (pow (cos lambda1) 2) (sin lambda1))) (+ (* (cos lambda1) (+ (* -1 (* (cos lambda1) (sin lambda1))) (* -1/3 (* (cos lambda1) (sin lambda1))))) (* (sin lambda1) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))))))) (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (pow (- (* 2 (* (cos lambda1) (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (sin lambda1))))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (* (sin phi1) (sin phi2)))))) 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(pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2))) (/ (+ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))))) (* (pow (sin phi1) 3) (* (pow (sin phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))))))) (pow (- (+ (* (pow (cos lambda1) 2) (pow (* (cos phi1) (cos phi2)) 2)) (pow (* (sin phi1) (sin phi2)) 2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (* (sin phi1) (sin phi2)))))) 2)) (+ (* (pow (cos lambda1) 3) (* (pow (cos phi1) 3) (* (pow (cos phi2) 3) (- (* (pow (cos phi1) 2) (* (pow (cos phi2) 2) (+ (* -1 (pow (cos lambda1) 2)) (pow (sin lambda1) 2)))) (* -1/2 (* (cos 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1.7s
phi1
@0
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1.5s
phi2
@0
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909.0ms
y-scale
@0
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x-scale)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) (sqrt (+ (* 4 (/ (* (pow a 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (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)) (/ (* (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 (- (/ (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)) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* a (cos (* 1/180 (* angle (PI))))) (+ (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale 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))) (* a (+ (* 1/8 (* (/ (* x-scale (* y-scale (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))))) (* a a)) (/ 1 (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))))))) (* 1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))))))) (+ (* 1/8 (* (/ (* x-scale (* y-scale (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))))) (* a a)) (/ 1 (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))))))) (* 1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))))))) 1/8 (* (/ (* x-scale (* y-scale (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))))) (* a a)) (/ 1 (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))))) (/ (* x-scale (* y-scale (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))))) (* a a)) (* x-scale (* y-scale (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))))) (* y-scale (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))))) (* (sqrt 8) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))) (+ (* 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))) 1/2 (* (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))) (+ (* -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))))) -8 (/ (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2)) (* (* b b) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* b b) (* 2 (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))))) (* (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)))) (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* b (sin (* 1/180 (* angle (PI))))) (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))) 1 (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2) (+ (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* a a) (/ 1 (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))))) (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))) (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (* 1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))))) (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))))))

eval54.1s (2.8%)

Memory
138.7MiB live, 84 073.8MiB allocated; 14.8s collecting garbage
Compiler

Compiled 54 998 212 to 1 061 880 computations (98.1% saved)

explain17.4s (0.9%)

Memory
58.3MiB live, 26 271.9MiB allocated; 967ms collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity19665
sin.f64#fsensitivity17026
+.f64#fcancellation169444
sqrt.f64#foflow-rescue14360
-.f64#fcancellation9239
-.f64#fnan-rescue6700
log.f64#fsensitivity5790
/.f64#fo/n4590
/.f64#fo/o3730
/.f64#fu/u2840
*.f64#fn*o2450
/.f64#fu/n1670
exp.f64#fsensitivity15630
sqrt.f64#fuflow-rescue1290
/.f64#fn/o1120
cbrt.f64#foflow-rescue860
*.f64#fn*u740
cbrt.f64#fuflow-rescue440
/.f64#fn/u430
*.f64#fu*o410
*.f64#fo*u340
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)))))sensitivity172
pow.f64#fuflow-rescue130
pow.f64#fsensitivity110
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue60
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow6
↳(exp.f64 a)underflow61
↳(exp.f64 b)underflow69
log.f64#foflow-rescue50
asin.f64(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))sensitivity32
Confusion
Predicted +Predicted -
+580177
-13326102
Precision
0.8132623019767279
Recall
0.9869003062266077
Confusion?
Predicted +Predicted MaybePredicted -
+58014829
-1332326070
Precision?
0.8108969915430473
Recall?
0.9950663490983328
Freqs
test
numberfreq
06179
14672
21623
3345
4246
5170
659
714
83
91
Total Confusion?
Predicted +Predicted MaybePredicted -
+4210
-216
Precision?
0.9347826086956522
Recall?
1.0
Samples
3.4s7 574×1valid
2.1s16 598×0valid
1.9s2 112×2valid
515.0ms340×3valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 6.2s
ival-sin: 1.1s (18% of total)
ival-mult: 800.0ms (12.8% of total)
ival-cos: 736.0ms (11.8% of total)
adjust: 650.0ms (10.4% of total)
ival-div: 495.0ms (7.9% of total)
ival-pow2: 363.0ms (5.8% of total)
ival-sub: 312.0ms (5% of total)
ival-sinu: 287.0ms (4.6% of total)
ival-cosu: 274.0ms (4.4% of total)
ival-add: 266.0ms (4.3% of total)
ival-exp: 205.0ms (3.3% of total)
ival-log: 185.0ms (3% of total)
ival-sqrt: 152.0ms (2.4% of total)
ival-neg: 66.0ms (1.1% of total)
ival-tan: 49.0ms (0.8% of total)
ival-atan: 40.0ms (0.6% of total)
ival-atan2: 40.0ms (0.6% of total)
ival-hypot: 35.0ms (0.6% of total)
ival-pow: 28.0ms (0.4% of total)
ival-true: 26.0ms (0.4% of total)
exact: 21.0ms (0.3% of total)
ival-acos: 20.0ms (0.3% of total)
ival-pi: 18.0ms (0.3% of total)
ival-cbrt: 17.0ms (0.3% of total)
ival-assert: 13.0ms (0.2% of total)
ival-fabs: 12.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)

analyze14.9s (0.8%)

Memory
132.9MiB live, 22 302.3MiB allocated; 2.0s 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)

preprocess11.5s (0.6%)

Memory
180.5MiB live, 14 229.0MiB allocated; 1.1s collecting garbage
Stop Event
104×iter limit
92×node limit
12×saturated
Compiler

Compiled 72 707 to 15 361 computations (78.9% saved)

derivations5.0s (0.3%)

Memory
110.9MiB live, 5 400.4MiB allocated; 159ms collecting garbage
Stop Event
24×done
21×fuel
Compiler

Compiled 28 713 to 4 175 computations (85.5% saved)

regimes4.5s (0.2%)

Memory
-42.8MiB live, 8 347.3MiB allocated; 448ms collecting garbage
Counts
2 765 → 384
Calls

123 calls:

473.0ms
b
393.0ms
a
212.0ms
(/.f64 angle #s(literal 180 binary64))
168.0ms
angle
129.0ms
c
Compiler

Compiled 6 958 to 6 340 computations (8.9% saved)

bsearch3.3s (0.2%)

Memory
53.7MiB live, 5 052.2MiB allocated; 348ms collecting garbage
Algorithm
114×binary-search
43×left-value
Stop Event
101×narrow-enough
13×predicate-same
Samples
858.0ms1 468×1valid
530.0ms5 048×0valid
423.0ms508×2valid
260.0ms128×3valid
236.0ms1 228×0invalid
83.0ms260×1invalid
12.0ms27×2invalid
Compiler

Compiled 105 811 to 53 412 computations (49.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult: 332.0ms (16.7% of total)
ival-div: 269.0ms (13.5% of total)
ival-pow2: 212.0ms (10.7% of total)
adjust: 207.0ms (10.4% of total)
ival-sinu: 164.0ms (8.2% of total)
ival-cosu: 149.0ms (7.5% of total)
ival-cos: 133.0ms (6.7% of total)
ival-add: 118.0ms (5.9% of total)
ival-sin: 118.0ms (5.9% of total)
ival-sub: 107.0ms (5.4% of total)
ival-sqrt: 76.0ms (3.8% of total)
ival-neg: 31.0ms (1.6% of total)
ival-hypot: 27.0ms (1.4% of total)
ival-atan2: 10.0ms (0.5% of total)
ival-atan: 8.0ms (0.4% of total)
ival-true: 7.0ms (0.4% of total)
exact: 7.0ms (0.4% of total)
ival-exp: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
ival-tan: 3.0ms (0.2% of total)
ival-pi: 2.0ms (0.1% of total)
ival-fabs: 1.0ms (0.1% of total)

simplify2.3s (0.1%)

Memory
-329.9MiB live, 2 753.4MiB allocated; 155ms collecting garbage
Stop Event
44×node limit
1×saturated

start3.0ms (0%)

Memory
7.1MiB live, 6.9MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Profiling

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