Herbie run

Date:Wednesday, April 16th, 2025
Commit:49675406 on chassis-platforms-cleanup
Seed:2025106
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
default
Memory:500 215.7 MB

Time bar (total: 6.8min)

sample2.8min (41.2%)

Memory
1 659.2MiB live, 192 710.3MiB allocated; 50.6s collecting garbage
Samples
46.3s119 643×1valid
35.9s281 257×0valid
16.1s25 127×2valid
15.4s3 876×4exit
7.3s3 266×3valid
6.9s11 284×5exit
6.0s35 311×0exit
2.9s12 136×1invalid
1.9s20 130×0invalid
358.0ms940×2invalid
226.0ms2 618×1exit
56.0ms19×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 19.4s (16.5% of total)
ival-mult!: 13.9s (11.8% of total)
adjust: 12.5s (10.6% of total)
ival-cos: 11.3s (9.6% of total)
ival-sin: 8.2s (7% of total)
ival-pow2: 8.1s (6.9% of total)
ival-div!: 7.5s (6.4% of total)
ival-sinu: 5.7s (4.8% of total)
ival-exp: 5.2s (4.4% of total)
ival-cosu: 4.6s (3.9% of total)
ival-sub!: 4.3s (3.6% of total)
ival-log: 4.3s (3.6% of total)
ival-sqrt: 3.7s (3.1% of total)
ival-add!: 3.0s (2.5% of total)
ival-neg: 1.9s (1.6% of total)
ival-hypot: 987.0ms (0.8% of total)
ival-atan2: 763.0ms (0.6% of total)
ival-tan: 669.0ms (0.6% of total)
ival-atan: 396.0ms (0.3% of total)
ival-acos: 349.0ms (0.3% of total)
ival-cbrt: 319.0ms (0.3% of total)
ival-log1p: 203.0ms (0.2% of total)
ival-fabs: 176.0ms (0.1% of total)
ival-asin: 122.0ms (0.1% of total)
ival-<: 62.0ms (0.1% of total)
ival-and: 49.0ms (0% of total)
ival-assert: 8.0ms (0% of total)
ival-<=: 8.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite53.6s (13.1%)

Memory
644.5MiB live, 60 543.4MiB allocated; 13.8s collecting garbage
Stop Event
445×iter-limit
186×node-limit
6×unsound
3×saturated
Counts
52 857 → 77 003

regimes40.4s (9.9%)

Memory
365.1MiB live, 56 129.3MiB allocated; 9.8s collecting garbage
Counts
20 189 → 833
Calls

155 calls:

3.7s
phi1
3.2s
phi2
2.6s
lambda1
2.5s
lambda2
2.1s
(-.f64 lambda1 lambda2)
Compiler

Compiled 20 055 to 15 847 computations (21% saved)

series36.6s (8.9%)

Memory
1 426.9MiB live, 42 948.8MiB allocated; 13.4s collecting garbage
Counts
7 429 → 45 428
Calls

1590 calls:

TimeVariablePointExpression
898.0ms
C
@0
((/ (neg (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (- (pow B 2) (* (* 4 A) C))) (neg (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) 2 (* (- (pow B 2) (* (* 4 A) C)) F) (- (pow B 2) (* (* 4 A) C)) (pow B 2) B (* (* 4 A) C) (* 4 A) 4 A C F (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2)))) (- (+ A (* -1/2 (/ (* B B) C))) (* -1 A)) (+ A (* -1/2 (/ (* B B) C))) (* -1/2 (/ (* B B) C)) -1/2 (/ (* B B) C) (* B B) (* -1 A) -1 (/ (neg (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (- (pow B 2) (* (* 4 A) C))) (* -1 (* (sqrt (/ F C)) (sqrt -1))) (* (sqrt (/ F C)) (sqrt -1)) (sqrt (/ F C)) (/ F C) (sqrt -1) (/ (neg (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (- (pow B 2) (* (* 4 A) C))) (sqrt (* (/ (* F (- (+ A C) (sqrt (+ (* B B) (* (- A C) (- A C)))))) (- (* B B) (* 4 (* A C)))) 2)) (* (/ (* F (- (+ A C) (sqrt (+ (* B B) (* (- A C) (- A C)))))) (- (* B B) (* 4 (* A C)))) 2) (/ (* F (- (+ A C) (sqrt (+ (* B B) (* (- A C) (- A C)))))) (- (* B B) (* 4 (* A C)))) (* F (- (+ A C) (sqrt (+ (* B B) (* (- A C) (- A C)))))) (- (+ A C) (sqrt (+ (* B B) (* (- A C) (- A C))))) (+ A C) (sqrt (+ (* B B) (* (- A C) (- A C)))) (+ (* B B) (* (- A C) (- A C))) (* (- A C) (- A C)) (- A C) (- (* B B) (* 4 (* A C))) (* 4 (* A C)) (* A C) (/ (neg (sqrt (* (* 2 (* (- (* B B) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (* (- A C) (- A C)) (* B B))))))) (- (* B B) (* (* 4 A) C))) (neg (sqrt (* (* 2 (* (- (* B B) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (* (- A C) (- A C)) (* B B))))))) (sqrt (* (* 2 (* (- (* B B) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (* (- A C) (- A C)) (* B B)))))) (* (* 2 (* (- (* B B) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (* (- A C) (- A C)) (* B B))))) (* 2 (* (- (* B B) (* (* 4 A) C)) F)) (* (- (* B B) (* (* 4 A) C)) F) (- (* B B) (* (* 4 A) C)) (- (+ A C) (sqrt (+ (* (- A C) (- A C)) (* B B)))) (sqrt (+ (* (- A C) (- A C)) (* B B))) (+ (* (- A C) (- A C)) (* B B)) (/ (neg (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (- (pow B 2) (* (* 4 A) C))) (neg (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))))) (sqrt (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (* (* 2 (* (- (pow B 2) (* (* 4 A) C)) F)) (- (+ A C) (sqrt (+ (pow (- A C) 2) (pow B 2))))) (* C (+ (* -8 (* A (* F (- A (* -1 A))))) (* 2 (/ (* F (+ (* 2 (* A (* B B))) (* (* B B) (- A (* -1 A))))) C)))) (+ (* -8 (* A (* F (- A (* -1 A))))) (* 2 (/ (* F (+ (* 2 (* A (* B B))) (* (* B B) (- A (* -1 A))))) C))) -8 (* A (* F (- A (* -1 A)))) (* F (- A (* -1 A))) (- A (* -1 A)) (* 2 (/ (* F (+ (* 2 (* A (* B B))) (* (* B B) (- A (* -1 A))))) C)) (/ (* F (+ (* 2 (* A (* B B))) (* (* B B) (- A (* -1 A))))) C) (* F (+ (* 2 (* A (* B B))) (* (* B B) (- A (* -1 A))))) (+ (* 2 (* A (* B B))) (* (* B B) (- A (* -1 A)))) (* A (* B B)) (* (* B B) (- A (* -1 A))))
620.0ms
phi2
@-inf
((* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))))) (sqrt (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))) (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2)) (cos phi1) phi1 (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2)) (cos phi2) phi2 (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2) (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) (* 1/2 (+ lambda1 (* -1 lambda2))) 1/2 (+ lambda1 (* -1 lambda2)) lambda1 (* -1 lambda2) -1 lambda2 (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2) (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (cos (* 1/2 phi2)) (* 1/2 phi2) (sin (* 1/2 phi1)) (* 1/2 phi1) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2))) (cos (* 1/2 phi1)) (sin (* 1/2 phi2)) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (pow (sin (* 1/2 (+ lambda1 (* -1 lambda2)))) 2))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))) 1 (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (+ (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2))))))) (pow (sin (* -1/2 phi2)) 2)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2))))) (cos (* 2 (* 1/2 (- lambda1 lambda2)))) (* 2 (* 1/2 (- lambda1 lambda2))) (* 1/2 (- lambda1 lambda2)) (- lambda1 lambda2) (pow (sin (* -1/2 phi2)) 2) (sin (* -1/2 phi2)) (* -1/2 phi2) -1/2 (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (- (+ (* (* (cos (* 1/2 phi1)) phi2) (sin (* 1/2 phi1))) 1) (+ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 phi1))))))) (+ 1/2 (* 1/2 (cos (- lambda1 lambda2)))) (* 1/2 (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (atan2 (sqrt (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))))) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))))) (sqrt (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))))) (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2))))))) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2))))))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2)))))) (* 1/2 (cos (* 2 (* 1/2 (- phi1 phi2))))) (cos (* 2 (* 1/2 (- phi1 phi2)))) (* 2 (* 1/2 (- phi1 phi2))) (* 1/2 (- phi1 phi2)) (- phi1 phi2) (sqrt (- 1 (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2)))) (- 1 (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2))) (+ (* (cos phi1) (* (cos phi2) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))))) (pow (- (* (cos (* 1/2 phi2)) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (sin (* 1/2 phi2)))) 2)) (+ (* (cos phi2) (- 1/2 (* 1/2 (cos (- lambda1 lambda2))))) (pow (sin (* 1/2 phi2)) 2)) (- 1/2 (* 1/2 (cos (- lambda1 lambda2)))) (pow (sin (* 1/2 phi2)) 2) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (+ (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 (- lambda1 lambda2)))))) (cos phi1)) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 phi1)))))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 phi1))))) (* 1/2 (cos (* 2 (* 1/2 phi1)))) (cos (* 2 (* 1/2 phi1))) (* 2 (* 1/2 phi1)) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (pow (sin (/ (- phi1 phi2) 2)) 2) (sin (/ (- phi1 phi2) 2)) (/ (- phi1 phi2) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2)) (/ (- lambda1 lambda2) 2) (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))))) (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))))) (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2)))) (* (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (* (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (sin (/ (- lambda1 lambda2) 2))) (/ (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) 2) (+ (sin (- (+ phi1 (/ (PI) 2)) phi2)) (sin (+ (+ phi1 (/ (PI) 2)) phi2))) (sin (- (+ phi1 (/ (PI) 2)) phi2)) (- (+ phi1 (/ (PI) 2)) phi2) (+ phi1 (/ (PI) 2)) (/ (PI) 2) (PI) (sin (+ (+ phi1 (/ (PI) 2)) phi2)) (+ (+ phi1 (/ (PI) 2)) phi2))
375.0ms
ew
@0
((fabs (+ (* (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) (* (cos t) ew)) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) (* (cos t) ew)) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (/ 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) t ew 2 (* (cos t) ew) (cos t) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (sin t) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (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))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (+ (* ew (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t)) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 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 (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))
362.0ms
a
@inf
((- (* (/ (/ (* (* (* 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))) (* (* (* a a) (* (/ b (* y-scale y-scale)) (/ b (* x-scale x-scale)))) -4) (* (* a a) (* (/ b (* y-scale y-scale)) (/ b (* x-scale x-scale)))) (* a a) a (* (/ b (* y-scale y-scale)) (/ b (* x-scale x-scale))) (/ b (* y-scale y-scale)) b (* y-scale y-scale) y-scale (/ b (* x-scale x-scale)) (* x-scale x-scale) x-scale -4 (- (* (/ (/ (* (* (* 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))) (* (* (* a a) (/ (* b b) (* (* y-scale y-scale) (* x-scale x-scale)))) -4) (* (* a a) (/ (* b b) (* (* y-scale y-scale) (* x-scale x-scale)))) (/ (* (* a a) (* b b)) (* (* x-scale x-scale) (* y-scale y-scale))) (* (* a a) (* b b)) (* b b) (* (* x-scale x-scale) (* 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)) (* (/ (* (* (* b b) (* b b)) (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2)) (* (* y-scale y-scale) (* x-scale x-scale))) 4) (/ (* (* (* b b) (* b b)) (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2)) (* (* y-scale y-scale) (* x-scale x-scale))) (* (* (* b b) (* b b)) (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2)) (* (* b b) (* b b)) (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2) (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) (sin (* (* (PI) angle) 1/180)) (* (* (PI) angle) 1/180) (* (PI) angle) (PI) angle 1/180 (cos (* (* (PI) angle) 1/180)) 2 (* (* y-scale y-scale) (* x-scale x-scale)) 4 (* (* 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)) (* 4 (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (pow (* a (sin (* (/ angle 180) (PI)))) 2) (* a (sin (* (/ angle 180) (PI)))) (sin (* (/ angle 180) (PI))) (* (/ angle 180) (PI)) (/ 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) (/ (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))))) (sin (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) (* angle (PI)) (- (* (/ (/ (* (* (* 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))) (/ (* 4 (- (/ (* (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) (* y-scale y-scale)) (* (+ (pow (* (cos (* (* (PI) angle) 1/180)) a) 2) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2)) (/ (+ (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2)) (* y-scale y-scale))))) (* x-scale x-scale)) (* 4 (- (/ (* (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) (* y-scale y-scale)) (* (+ (pow (* (cos (* (* (PI) angle) 1/180)) a) 2) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2)) (/ (+ (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2)) (* y-scale y-scale))))) (- (/ (* (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) (* y-scale y-scale)) (* (+ (pow (* (cos (* (* (PI) angle) 1/180)) a) 2) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2)) (/ (+ (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2)) (* y-scale y-scale)))) (/ (* (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) (* y-scale y-scale)) (* (pow (* (sin (* (* (PI) angle) 1/180)) (cos (* (* (PI) angle) 1/180))) 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a)) (* (+ (pow (* (cos (* (* (PI) angle) 1/180)) a) 2) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2)) (/ (+ (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2)) (* y-scale y-scale))) (+ (pow (* (cos (* (* (PI) angle) 1/180)) a) 2) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2)) (pow (* (cos (* (* (PI) angle) 1/180)) a) 2) (* (cos (* (* (PI) angle) 1/180)) a) (pow (* (sin (* (* (PI) angle) 1/180)) b) 2) (* (sin (* (* (PI) angle) 1/180)) b) (/ (+ (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2)) (* y-scale y-scale)) (+ (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2)) (pow (* (sin (* (* (PI) angle) 1/180)) a) 2) (* (sin (* (* (PI) angle) 1/180)) a) (pow (* (cos (* (* (PI) angle) 1/180)) b) 2) (* (cos (* (* (PI) angle) 1/180)) b) (- (* (/ (/ (* (* (* 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)) (/ (/ (* (* (* 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) (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (* 2 (- (pow b 2) (pow a 2))) (- (pow b 2) (pow a 2)) (pow b 2) (pow a 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)) (* 4 (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) (+ (* b b) (* (* angle angle) (+ (* (* -1/32400 (* b b)) (* (PI) (PI))) (* (* 1/32400 (* a a)) (* (PI) (PI)))))) (* (* angle angle) (+ (* -1/32400 (* (* b b) (* (PI) (PI)))) (* 1/32400 (* (* a a) (* (PI) (PI)))))) (* angle angle) (+ (* -1/32400 (* (* b b) (* (PI) (PI)))) (* 1/32400 (* (* a a) (* (PI) (PI))))) -1/32400 (* (* b b) (* (PI) (PI))) (* (PI) (PI)) (* 1/32400 (* (* a a) (* (PI) (PI)))) 1/32400 (* (* a a) (* (PI) (PI))) (/ (/ (+ (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) (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) (pow (* a (cos (* (/ angle 180) (PI)))) 2) (* a (cos (* (/ angle 180) (PI)))) (pow (* b (sin (* (/ angle 180) (PI)))) 2) (* b (sin (* (/ angle 180) (PI)))))
346.0ms
ew
@0
((fabs (+ (* (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) (* (cos t) ew)) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) (* (cos t) ew)) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (/ 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) t ew 2 (* (cos t) ew) (cos t) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (sin t) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* -1 (* (/ eh ew) (tan t))) -1 (* (/ 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))))) (+ (* ew (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) 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 (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t))) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (* (neg eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t)) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) t) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) (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)) (/ (tan t) 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))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew)) (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) ew) (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)))) (/ (* (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))))) (neg (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (cos t)) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2))

eval25.6s (6.3%)

Memory
502.4MiB live, 35 892.0MiB allocated; 9.2s collecting garbage
Compiler

Compiled 13 431 560 to 587 973 computations (95.6% saved)

prune18.6s (4.5%)

Memory
-474.5MiB live, 28 980.4MiB allocated; 4.0s collecting garbage
Counts
94 299 → 5 851
Compiler

Compiled 1 027 396 to 385 018 computations (62.5% saved)

explain18.3s (4.5%)

Memory
-91.8MiB live, 25 379.1MiB allocated; 3.4s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity18715
+.f64#fcancellation171236
sin.f64#fsensitivity16211
sqrt.f64#foflow-rescue13950
-.f64#fcancellation91312
-.f64#fnan-rescue6140
log.f64#fsensitivity6051
/.f64#fo/n4960
/.f64#fo/o3540
/.f64#fu/u2790
*.f64#fn*o2310
exp.f64#fsensitivity16431
sqrt.f64#fuflow-rescue1630
/.f64#fu/n1560
/.f64#fn/o1270
cbrt.f64#foflow-rescue910
*.f64#fn*u860
/.f64#fn/u430
cbrt.f64#fuflow-rescue420
*.f64#fu*o390
*.f64#fo*u340
acos.f64#fsensitivity214
pow.f64#fuflow-rescue80
log.f64#foflow-rescue60
pow.f64(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)sensitivity20
asin.f64(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))sensitivity21
log.f64(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))uflow-rescue10
↳(+.f64 (exp.f64 a) (exp.f64 b))underflow1
↳(exp.f64 a)underflow57
↳(exp.f64 b)underflow74
Confusion
Predicted +Predicted -
+572071
-13236198
Precision
0.8121539116853613
Recall
0.9877395959247107
Confusion?
Predicted +Predicted MaybePredicted -
+57204031
-1323356163
Precision?
0.8092160719303175
Recall?
0.9946468658262821
Freqs
test
numberfreq
06269
14662
21554
3352
4248
5143
657
718
86
93
Total Confusion?
Predicted +Predicted MaybePredicted -
+4210
-405
Precision?
0.9148936170212766
Recall?
1.0
Samples
3.2s7 650×1valid
2.0s16 576×0valid
1.9s2 076×2valid
420.0ms322×3valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 5.9s
ival-sin: 1.0s (17.5% of total)
ival-cos: 835.0ms (14.2% of total)
ival-mult!: 689.0ms (11.7% of total)
adjust: 617.0ms (10.5% of total)
ival-pow2: 426.0ms (7.3% of total)
ival-div!: 360.0ms (6.1% of total)
ival-sqrt: 321.0ms (5.5% of total)
ival-cosu: 274.0ms (4.7% of total)
ival-sinu: 261.0ms (4.4% of total)
ival-exp: 219.0ms (3.7% of total)
ival-log: 192.0ms (3.3% of total)
ival-sub!: 155.0ms (2.6% of total)
ival-add!: 126.0ms (2.1% of total)
ival-atan2: 78.0ms (1.3% of total)
ival-neg: 64.0ms (1.1% of total)
ival-tan: 50.0ms (0.9% of total)
ival-atan: 48.0ms (0.8% of total)
ival-hypot: 37.0ms (0.6% of total)
ival-cbrt: 25.0ms (0.4% of total)
ival-acos: 21.0ms (0.4% of total)
ival-pow: 19.0ms (0.3% of total)
ival-fabs: 13.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)

analyze16.0s (3.9%)

Memory
22.6MiB live, 20 987.2MiB allocated; 4.2s 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)

derivations13.4s (3.3%)

Memory
-199.3MiB live, 11 801.5MiB allocated; 2.0s collecting garbage
Stop Event
40×fuel
12×done
Compiler

Compiled 45 148 to 5 497 computations (87.8% saved)

preprocess9.3s (2.3%)

Memory
-145.6MiB live, 13 760.7MiB allocated; 1.9s collecting garbage
Stop Event
46×node-limit
6×saturated
Compiler

Compiled 253 962 to 64 754 computations (74.5% saved)

bsearch8.7s (2.1%)

Memory
218.3MiB live, 11 075.1MiB allocated; 1.8s collecting garbage
Algorithm
267×binary-search
119×left-value
Stop Event
260×narrow-enough
7×predicate-same
Samples
3.7s5 974×1valid
2.3s13 728×0valid
360.0ms627×2valid
152.0ms87×3valid
54.0ms713×0invalid
4.0ms2×5exit
Compiler

Compiled 220 287 to 125 866 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.5s
ival-cos: 1.7s (30.8% of total)
ival-sin: 1.4s (25.2% of total)
ival-mult!: 551.0ms (10% of total)
adjust: 394.0ms (7.1% of total)
ival-pow2: 291.0ms (5.3% of total)
ival-div!: 163.0ms (2.9% of total)
ival-sub!: 157.0ms (2.8% of total)
ival-atan2: 132.0ms (2.4% of total)
ival-sqrt: 120.0ms (2.2% of total)
ival-sinu: 107.0ms (1.9% of total)
ival-cosu: 103.0ms (1.9% of total)
ival-add!: 86.0ms (1.6% of total)
ival-acos: 64.0ms (1.2% of total)
ival-tan: 50.0ms (0.9% of total)
ival-exp: 47.0ms (0.9% of total)
ival-neg: 45.0ms (0.8% of total)
ival-asin: 34.0ms (0.6% of total)
ival-atan: 26.0ms (0.5% of total)
ival-hypot: 23.0ms (0.4% of total)
ival-log: 14.0ms (0.3% of total)
ival-fabs: 12.0ms (0.2% of total)
ival-pow: 9.0ms (0.2% of total)
ival-log1p: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start3.0ms (0%)

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

end0.0ms (0%)

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

Profiling

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