Herbie run

Date:Thursday, May 1st, 2025
Commit:4dfb3dd9 on main
Seed:2025121
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:478 666.6 MB

Time bar (total: 6.8min)

sample2.8min (42.2%)

Memory
3 032.9MiB live, 194 845.1MiB allocated; 52.7s collecting garbage
Samples
47.7s119 120×1valid
33.2s281 658×0valid
19.4s3 850×4exit
16.3s25 266×2valid
8.1s11 222×5exit
6.9s3 245×3valid
5.4s34 824×0exit
2.6s19 948×0invalid
2.2s11 740×1invalid
387.0ms918×2invalid
208.0ms2 564×1exit
91.0ms23×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 21.9s (18.2% of total)
ival-mult!: 12.2s (10.1% of total)
ival-cos: 11.8s (9.8% of total)
adjust: 11.3s (9.4% of total)
ival-div!: 9.2s (7.7% of total)
ival-pow2: 8.9s (7.4% of total)
ival-sin: 8.2s (6.8% of total)
ival-cosu: 5.4s (4.5% of total)
ival-exp: 5.2s (4.4% of total)
ival-sinu: 5.2s (4.3% of total)
ival-add!: 4.2s (3.5% of total)
ival-sqrt: 4.1s (3.4% of total)
ival-log: 4.0s (3.3% of total)
ival-sub!: 2.9s (2.4% of total)
ival-neg: 2.0s (1.7% of total)
ival-hypot: 870.0ms (0.7% of total)
ival-atan2: 852.0ms (0.7% of total)
ival-tan: 574.0ms (0.5% of total)
ival-acos: 355.0ms (0.3% of total)
ival-atan: 337.0ms (0.3% of total)
ival-cbrt: 260.0ms (0.2% of total)
ival-fabs: 174.0ms (0.1% of total)
ival-log1p: 113.0ms (0.1% of total)
ival-asin: 112.0ms (0.1% of total)
ival-<: 88.0ms (0.1% of total)
ival-and: 46.0ms (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

rewrite53.8s (13.3%)

Memory
1 468.8MiB live, 59 017.4MiB allocated; 15.5s collecting garbage
Stop Event
446×iter-limit
184×node-limit
6×unsound
4×saturated
Counts
51 128 → 77 153

regimes35.7s (8.8%)

Memory
200.0MiB live, 45 261.0MiB allocated; 11.5s collecting garbage
Counts
21 592 → 980
Calls

155 calls:

3.8s
phi2
2.9s
lambda2
2.5s
phi1
2.3s
lambda1
2.2s
(-.f64 lambda1 lambda2)
Compiler

Compiled 17 933 to 16 038 computations (10.6% saved)

series34.3s (8.5%)

Memory
1 302.8MiB live, 45 439.9MiB allocated; 10.0s collecting garbage
Counts
7 490 → 43 638
Calls

1596 calls:

TimeVariablePointExpression
1.1s
y-scale
@-inf
((/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* a (* x-scale 4))) 1/4 (* a (* x-scale 4)) a (* x-scale 4) x-scale 4 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (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))))))) (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)))))) (/ (* (* (* a a) a) (* (* b b) 4)) (* x-scale (* y-scale y-scale))) (* (* (* a a) a) (* (* b b) 4)) (* (* a a) a) (* a a) (* (* b b) 4) (* b b) b (* x-scale (* y-scale y-scale)) (* y-scale y-scale) y-scale (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)) (* 4 (* (* b a) (* b (neg a)))) (* (* b a) (* b (neg a))) (* b a) (* b (neg a)) (neg a) (pow (* x-scale y-scale) 2) (* x-scale y-scale) 2 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* -1/4 (* (* b (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))))) -1/4 (* (* b (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))))) (* b (* x-scale (* y-scale (sqrt 8)))) (* x-scale (* y-scale (sqrt 8))) (* y-scale (sqrt 8)) (sqrt 8) 8 (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))))) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (pow (cos (* 1/180 (* angle (PI)))) 2) (cos (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* x-scale x-scale) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (pow (sin (* 1/180 (* angle (PI)))) 2) (sin (* 1/180 (* angle (PI)))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2)) (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (* x-scale x-scale) (* y-scale y-scale))) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (* (* x-scale x-scale) (* y-scale y-scale)) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2) (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (+ (/ (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 (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))))))) (* (* x-scale (* y-scale (sqrt 8))) (sqrt (- (+ (/ (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 (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)))))) (sqrt (- (+ (/ (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 (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 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 (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 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))) (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* b (cos (* 1/180 (* angle (PI))))) (/ (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))))) (sqrt (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2))) (+ (* 4 (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale)))) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) 2)) (/ (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (* (* x-scale x-scale) (* y-scale y-scale))) (* (pow b 4) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2)) (pow b 4) (pow (- (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (/ (pow (* b (sin (* 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))) (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))))) (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))))) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))) (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))) (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* a (sin (* 1/180 (* angle (PI))))) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))) (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* a (cos (* 1/180 (* angle (PI))))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale))) (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) (- (* b b) (* a a)))
534.0ms
angle
@0
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(/ (/ (* (* (* 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)) (- (- (/ (/ (+ (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)))) (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))) (+ (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)) (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 (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (pow (/ (/ (* (* (* 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) (* angle (+ (* 1/90 (/ (* (PI) (- (* b b) (* a a))) (* x-scale y-scale))) (* 2 (* (* angle angle) (+ (* -1/11664000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))) (* -1/34992000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale)))))))) (+ (* 1/90 (/ (* (PI) (- (* b b) (* a a))) (* x-scale y-scale))) (* 2 (* (* angle angle) (+ (* -1/11664000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))) (* -1/34992000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))))))) 1/90 (/ (* (PI) (- (* b b) (* a a))) (* x-scale y-scale)) (* x-scale y-scale) (* 2 (* (* angle angle) (+ (* -1/11664000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))) (* -1/34992000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale)))))) (* (* angle angle) (+ (* -1/11664000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))) (* -1/34992000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))))) (* angle angle) (+ (* -1/11664000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))) (* -1/34992000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale)))) -1/11664000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale)) (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* -1/34992000 (/ (* (* (* (PI) (PI)) (PI)) (- (* b b) (* a a))) (* x-scale y-scale))) -1/34992000)
434.0ms
ew
@0
((fabs (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))))) (- (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (sin t) t eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* (neg eh) (/ (tan t) ew)) (neg eh) (/ (tan t) ew) (tan t) ew (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (cos t) ew) (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))) (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)) (pow (* (neg eh) (/ (tan t) ew)) 2) 2 (* (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (- (/ (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) eh) (* ew (cos t)) (fabs (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh t) (fabs (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* -1 (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew))
433.0ms
ew
@0
((fabs (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (cos t) t (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (neg (* (sin t) eh)) (* (sin t) eh) (sin t) eh (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))) (* -1 (/ (* eh t) ew)) -1 (/ (* eh t) ew) (* eh 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))))) (* (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) ew) (fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (* (- (/ (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) eh) (* ew (cos t)) (+ ew (* (* t t) (+ (* -1/2 ew) (* (* t t) (+ (* -1/720 (* ew (* t t))) (* 1/24 ew)))))) (* (* t t) (+ (* -1/2 ew) (* (* t t) (+ (* -1/720 (* ew (* t t))) (* 1/24 ew))))) (* t t) (+ (* -1/2 ew) (* (* t t) (+ (* -1/720 (* ew (* t t))) (* 1/24 ew)))) -1/2 (* (* t t) (+ (* -1/720 (* ew (* t t))) (* 1/24 ew))) (+ (* -1/720 (* ew (* t t))) (* 1/24 ew)) -1/720 (* ew (* t t)) (* 1/24 ew) 1/24 (fabs (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))) 1 (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) (/ (tan t) ew) (tan t) 2 (fabs (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (cos t) (/ 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) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (* -1 (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ eh ew))
339.0ms
ew
@0
((fabs (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (+ (* ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2)))))) (* (neg (* (sin t) eh)) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) ew (* (cos t) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (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 (* (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 (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))) (* eh (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 t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) eh) (- (/ (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) eh) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t))) (/ (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) eh) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))))) (* (cos t) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (* (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (sqrt (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (- (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))

eval32.1s (7.9%)

Memory
12.8MiB live, 42 820.0MiB allocated; 14.1s collecting garbage
Compiler

Compiled 4 086 446 to 515 344 computations (87.4% saved)

prune19.4s (4.8%)

Memory
-733.8MiB live, 29 058.2MiB allocated; 6.2s collecting garbage
Counts
78 939 → 6 038
Compiler

Compiled 619 593 to 386 812 computations (37.6% saved)

analyze18.1s (4.5%)

Memory
-266.1MiB live, 18 885.1MiB allocated; 6.6s collecting garbage
Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
17.2%13.7%65.7%20.6%0%0%0%1
25%19.6%58.5%20.6%0%1.3%0%2
35.2%26.6%48.9%20.6%0%3.8%0%3
42.3%31.7%43.1%20.6%0%4.5%0%4
47.9%35.6%38.7%20.6%0%5.1%0%5
51%37.6%36.1%20.6%0%5.7%0%6
54.4%39.7%33.2%20.6%0%6.5%0%7
56.2%40.7%31.8%20.6%0%6.8%0%8
59%42.5%29.5%20.6%0%7.4%0%9
60.3%43.2%28.4%20.6%0%7.7%0%10
62.1%44.3%27%20.6%0%8.1%0%11
63.6%45.1%25.8%20.6%0%8.5%0%12
Compiler

Compiled 1 826 to 963 computations (47.3% saved)

derivations17.5s (4.3%)

Memory
49.6MiB live, 14 195.8MiB allocated; 3.1s collecting garbage
Stop Event
39×fuel
13×done
Compiler

Compiled 12 937 to 6 344 computations (51% saved)

preprocess11.9s (2.9%)

Memory
-463.3MiB live, 16 260.0MiB allocated; 3.6s collecting garbage
Stop Event
51×node-limit
1×saturated
Compiler

Compiled 149 129 to 85 074 computations (43% saved)

bsearch11.6s (2.9%)

Memory
-112.1MiB live, 12 876.8MiB allocated; 3.0s collecting garbage
Algorithm
334×binary-search
136×left-value
Stop Event
323×narrow-enough
11×predicate-same
Samples
6.1s8 151×1valid
1.9s13 030×0valid
256.0ms365×2valid
65.0ms38×3valid
51.0ms768×0invalid
Compiler

Compiled 204 246 to 154 009 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.5s
ival-cos: 2.1s (28.6% of total)
ival-sin: 2.1s (28.5% of total)
ival-mult!: 656.0ms (8.8% of total)
adjust: 521.0ms (7% of total)
ival-pow2: 393.0ms (5.3% of total)
ival-sub!: 278.0ms (3.7% of total)
ival-sinu: 275.0ms (3.7% of total)
ival-div!: 210.0ms (2.8% of total)
ival-cosu: 200.0ms (2.7% of total)
ival-atan2: 159.0ms (2.1% of total)
ival-sqrt: 158.0ms (2.1% of total)
ival-add!: 123.0ms (1.6% of total)
ival-acos: 67.0ms (0.9% of total)
ival-exp: 43.0ms (0.6% of total)
ival-neg: 24.0ms (0.3% of total)
ival-hypot: 17.0ms (0.2% of total)
ival-log: 16.0ms (0.2% of total)
ival-atan: 15.0ms (0.2% of total)
ival-tan: 15.0ms (0.2% of total)
ival-asin: 14.0ms (0.2% of total)
ival-pow: 10.0ms (0.1% of total)
ival-fabs: 3.0ms (0% of total)
ival-log1p: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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