Herbie run

Date:Monday, June 2nd, 2025
Commit:c64524ab on sound-egglog
Seed:2025153
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:proofsgenerate:egglog
default
Memory:646 695.3 MB

Time bar (total: 22.0min)

series11.6min (52.5%)

Memory
2 597.1MiB live, 269 911.6MiB allocated; 1.3min collecting garbage
Counts
6 857 → 35 722
Calls

1551 calls:

TimeVariablePointExpression
415.0ms
t
@0
((fabs (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))))) (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t)))) (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) (sin t) t ew (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))) (tanh (asinh (/ eh (* (tan t) ew)))) (asinh (/ eh (* (tan t) ew))) (/ eh (* (tan t) ew)) eh (* (tan t) ew) (tan t) (* eh (cos t)) (cos t) (fabs (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))))) (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t)))) (* ew (sin t)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (sin (atan (/ (* eh (sin (+ (/ (PI) 2) t))) (* ew (sin t)))))) (sin (atan (/ (* eh (sin (+ (/ (PI) 2) t))) (* ew (sin t))))) (atan (/ (* eh (sin (+ (/ (PI) 2) t))) (* ew (sin t)))) (/ (* eh (sin (+ (/ (PI) 2) t))) (* ew (sin t))) (* eh (sin (+ (/ (PI) 2) t))) (sin (+ (/ (PI) 2) t)) (+ (/ (PI) 2) t) (/ (PI) 2) (PI) 2 (fabs (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))))) (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t)))) (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) (cosh (asinh (/ eh (* (tan t) ew)))) (asinh (/ eh (* (tan t) ew))) (/ eh (* (tan t) ew)) (/ (+ (* -1/3 (/ (* eh (pow t 2)) ew)) (/ eh ew)) t) (+ (* -1/3 (/ (* eh (pow t 2)) ew)) (/ eh ew)) -1/3 (/ (* eh (pow t 2)) ew) (* eh (pow t 2)) (pow t 2) (/ eh ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))) (tanh (asinh (/ eh (* (tan t) ew)))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh (* ew t)) (* ew t) (* (* eh (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (sin (atan (/ (/ eh ew) (tan t))))) (* eh (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2))))) (+ (* (sin t) (cos (/ (PI) 2))) (* (cos t) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (* (cos t) (sin (/ (PI) 2))) (sin (/ (PI) 2)) (sin (atan (/ (/ eh ew) (tan t)))))
351.0ms
b
@0
((- (* (/ (/ (* (* (* 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 (* (/ (* b b) (* x-scale y-scale)) (/ (* a a) (* x-scale y-scale)))) -4 (* (/ (* b b) (* x-scale y-scale)) (/ (* a a) (* x-scale y-scale))) (/ (* b b) (* x-scale y-scale)) (* b b) b (* x-scale y-scale) x-scale y-scale (/ (* a a) (* x-scale y-scale)) (* a a) a (- (* (/ (/ (* (* (* 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) (* (* x-scale x-scale) (* y-scale y-scale))) -4)) (* (/ (* b b) (* (* x-scale x-scale) (* y-scale y-scale))) -4) (/ (* b b) (* (* x-scale x-scale) (* y-scale y-scale))) (* (* x-scale x-scale) (* y-scale y-scale)) (* 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))) (* -4 (* (/ (* a a) (* (* x-scale y-scale) y-scale)) (/ (* b b) x-scale))) (* (/ (* a a) (* (* x-scale y-scale) y-scale)) (/ (* b b) x-scale)) (/ (* a a) (* (* x-scale y-scale) y-scale)) (* (* x-scale y-scale) y-scale) (/ (* b b) x-scale) (- (/ (pow (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) x-scale) 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 (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale))) (* 4 (/ (* (pow a 3) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (* (pow (sin (* 1/180 (* angle (PI)))) 2) (+ (* -2 b) (* 2 b))))) (* (pow x-scale 2) (pow y-scale 2)))) 4 (/ (* (pow a 3) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (* (pow (sin (* 1/180 (* angle (PI)))) 2) (+ (* -2 b) (* 2 b))))) (* (pow x-scale 2) (pow y-scale 2))) (* (pow a 3) (* (pow (cos (* 1/180 (* 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(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) (* 1/90 (/ (* angle (* (PI) (- (pow b 2) (pow a 2)))) (* x-scale y-scale))) 1/90 (/ (* angle (* (PI) (- (pow b 2) (pow a 2)))) (* x-scale y-scale)) (* angle (* (PI) (- (pow b 2) (pow a 2)))) (* (PI) (- (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)) (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 (* 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 angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2)) (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))) -1/32400 (* (pow a 2) (pow (PI) 2)) (pow (PI) 2) (* 1/32400 (* (pow b 2) (pow (PI) 2))) 1/32400 (* (pow b 2) (pow (PI) 2)))
281.0ms
ew
@0
((fabs (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))))) (+ (* (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) ew) (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t)))) (/ (sin t) (cosh (asinh (/ eh (* (tan t) ew))))) (sin t) t (cosh (asinh (/ eh (* (tan t) ew)))) (asinh (/ eh (* (tan t) ew))) (/ eh (* (tan t) ew)) eh (* (tan t) ew) (tan t) ew (* (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t))) (tanh (asinh (/ eh (* (tan t) ew)))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))) (atan (/ (* eh (cos t)) (* ew (sin t)))) (/ (* eh (cos t)) (* ew (sin t))) (* ew (sin t)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh (* ew t)) (* ew t) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (sin (atan (/ (/ eh ew) (tan t)))) (fabs (/ (+ (* (sin t) ew) (/ (* (* eh (cos t)) eh) (* (tan t) ew))) (cosh (asinh (/ eh (* (tan t) ew)))))) (/ (+ (* (sin t) ew) (/ (* (* eh (cos t)) eh) (* (tan t) ew))) (cosh (asinh (/ eh (* (tan t) ew))))) (+ (* (sin t) ew) (/ (* (* eh (cos t)) eh) (* (tan t) ew))) (/ (* (* eh (cos t)) eh) (* (tan t) ew)) (* (* eh (cos t)) eh))
271.0ms
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))) (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 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248.0ms
a
@0
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2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2)))))))) (pow a 2)) (* b (* (pow x-scale 2) (* (pow y-scale 2) (sqrt (* 8 (/ (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2)))))))) (* (pow x-scale 2) (* (pow y-scale 2) (sqrt (* 8 (/ (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2))))))) (* (pow y-scale 2) (sqrt (* 8 (/ (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2)))))) (sqrt (* 8 (/ (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2))))) (* 8 (/ (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2)))) (/ (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (* (pow x-scale 2) (pow y-scale 2))) (* (pow a 4) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))))) (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2)))) (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2)) (sqrt (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2))) (+ (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2)))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2)) (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (pow x-scale 2) (pow y-scale 2))) (pow (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) 2) (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (pow x-scale 2)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (pow y-scale 2))) (* (* (/ (sqrt (* (- (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)))))) (* (neg (* (* b a) (* b a))) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4))))) (* (neg (* (* b a) (* b a))) (neg 4))) (* x-scale y-scale)) (* x-scale y-scale)) (* (/ (sqrt (* (- (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)))))) (* (neg (* (* b a) (* b a))) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4))))) (* (neg (* (* b a) (* b a))) (neg 4))) (* x-scale y-scale)) (/ (sqrt (* (- (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)))))) (* (neg (* (* b a) (* b a))) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4))))) (* (neg (* (* b a) (* b a))) (neg 4))) (sqrt (* (- (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)))))) (* (neg (* (* b a) (* b a))) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4))))) (* (- (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)))))) (* (neg (* (* b a) (* b a))) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4)))) (- (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)))))) (+ (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (pow (* a (sin (/ (* angle (PI)) 180))) 2) (* a (sin (/ (* angle (PI)) 180))) (sin (/ (* angle (PI)) 180)) (/ (* angle (PI)) 180) 180 (pow (* b (cos (/ (* angle (PI)) 180))) 2) (* b (cos (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180)) (* x-scale x-scale) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)) (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (pow (* a (cos (/ (* angle (PI)) 180))) 2) (* a (cos (/ (* angle (PI)) 180))) (pow (* b (sin (/ (* angle (PI)) 180))) 2) (* b (sin (/ (* angle (PI)) 180))) (* y-scale y-scale) (sqrt (+ (* (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale)))) (* (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale))))) (- (/ (+ (pow (* a (sin (/ (* angle (PI)) 180))) 2) (pow (* b (cos (/ (* angle (PI)) 180))) 2)) (* x-scale x-scale)) (/ (+ (pow (* a (cos (/ (* angle (PI)) 180))) 2) (pow (* b (sin (/ (* angle (PI)) 180))) 2)) (* y-scale y-scale))) (/ (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* x-scale y-scale)) (* (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (cos (/ (* angle (PI)) 180))) (* (* 2 (* (+ b a) (- b a))) (sin (/ (* angle (PI)) 180))) (* 2 (* (+ b a) (- b a))) (* (+ b a) (- b a)) (+ b a) (- b a) (* (neg (* (* b a) (* b a))) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4))) (neg (* (* b a) (* b a))) (* (* b a) (* b a)) (* (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (+ 4 4)) (* (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale)))) (neg (* b a)) (/ (* b a) (* (* x-scale x-scale) (* y-scale y-scale))) (* (* x-scale x-scale) (* y-scale y-scale)) (+ 4 4) (* (neg (* (* b a) (* b a))) (neg 4)) (neg 4))

rewrite5.0min (22.7%)

Memory
881.3MiB live, 147 245.2MiB allocated; 47.4s collecting garbage
Counts
6 760 → 197 197

sample2.8min (12.8%)

Memory
1 776.2MiB live, 99 716.1MiB allocated; 40.1s collecting garbage
Samples
45.5s119 619×1valid
34.4s281 138×0valid
18.3s3 960×4exit
14.3s25 236×2valid
7.7s11 782×5exit
6.1s3 282×3valid
4.9s34 698×0exit
2.6s11 839×1invalid
2.3s19 748×0invalid
348.0ms888×2invalid
240.0ms2 680×1exit
138.0ms37×4valid
1.0ms1×2exit
Precisions
Click to see histograms. Total time spent on operations: 1.9min
ival-pow: 20.4s (17.6% of total)
ival-mult!: 12.9s (11.2% of total)
ival-cos: 11.6s (10.1% of total)
adjust: 10.2s (8.8% of total)
ival-sin: 9.0s (7.8% of total)
ival-div!: 7.7s (6.6% of total)
ival-pow2: 7.3s (6.3% of total)
ival-exp: 6.0s (5.2% of total)
ival-sinu: 5.5s (4.8% of total)
ival-cosu: 5.0s (4.3% of total)
ival-log: 4.7s (4.1% of total)
ival-sqrt: 3.5s (3% of total)
ival-sub!: 2.8s (2.4% of total)
ival-add!: 2.7s (2.4% of total)
ival-neg: 1.9s (1.7% of total)
ival-atan2: 1.0s (0.9% of total)
ival-tan: 874.0ms (0.8% of total)
ival-hypot: 696.0ms (0.6% of total)
ival-acos: 450.0ms (0.4% of total)
ival-atan: 392.0ms (0.3% of total)
ival-cbrt: 348.0ms (0.3% of total)
ival-fabs: 194.0ms (0.2% of total)
ival-asin: 147.0ms (0.1% of total)
ival-log1p: 117.0ms (0.1% of total)
ival-<: 65.0ms (0.1% of total)
ival-and: 53.0ms (0% of total)
ival-assert: 9.0ms (0% of total)
ival-<=: 9.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

eval51.4s (3.9%)

Memory
630.9MiB live, 44 831.2MiB allocated; 17.3s collecting garbage
Compiler

Compiled 6 271 858 to 1 258 537 computations (79.9% saved)

regimes47.7s (3.6%)

Memory
20.4MiB live, 36 070.8MiB allocated; 7.1s collecting garbage
Counts
28 623 → 841
Calls

142 calls:

3.6s
phi2
3.5s
lambda1
3.4s
phi1
3.1s
lambda2
2.4s
(-.f64 lambda1 lambda2)
Compiler

Compiled 14 284 to 14 848 computations (-3.9% saved)

prune18.9s (1.4%)

Memory
-477.6MiB live, 21 178.2MiB allocated; 3.4s collecting garbage
Counts
253 001 → 6 737
Compiler

Compiled 533 834 to 355 113 computations (33.5% saved)

analyze18.1s (1.4%)

Memory
-518.9MiB live, 9 708.7MiB allocated; 6.5s 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)

bsearch11.4s (0.9%)

Memory
-66.9MiB live, 8 243.0MiB allocated; 2.5s collecting garbage
Algorithm
294×binary-search
93×left-value
Stop Event
280×narrow-enough
14×predicate-same
Samples
6.9s8 805×1valid
1.7s11 262×0valid
258.0ms652×2valid
139.0ms1 322×0invalid
33.0ms140×1invalid
20.0ms44×2invalid
8.0ms3×5exit
1.0ms1×3valid
Compiler

Compiled 195 188 to 146 259 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.2s
ival-sin: 2.8s (34.1% of total)
ival-cos: 2.2s (26.4% of total)
ival-mult!: 732.0ms (9% of total)
adjust: 576.0ms (7.1% of total)
ival-pow2: 361.0ms (4.4% of total)
ival-atan2: 237.0ms (2.9% of total)
ival-sqrt: 205.0ms (2.5% of total)
ival-div!: 200.0ms (2.5% of total)
ival-sinu: 198.0ms (2.4% of total)
ival-sub!: 197.0ms (2.4% of total)
ival-cosu: 178.0ms (2.2% of total)
ival-add!: 87.0ms (1.1% of total)
ival-acos: 67.0ms (0.8% of total)
ival-atan: 48.0ms (0.6% of total)
ival-neg: 33.0ms (0.4% of total)
ival-exp: 22.0ms (0.3% of total)
ival-tan: 22.0ms (0.3% of total)
ival-hypot: 16.0ms (0.2% of total)
ival-pow: 12.0ms (0.1% of total)
ival-asin: 11.0ms (0.1% of total)
ival-log: 11.0ms (0.1% of total)
ival-fabs: 4.0ms (0% of total)
ival-log1p: 1.0ms (0% of total)

preprocess10.7s (0.8%)

Memory
-481.1MiB live, 9 575.8MiB allocated; 1.6s collecting garbage
Stop Event
52×node-limit
1×iter-limit
Compiler

Compiled 82 755 to 55 326 computations (33.1% saved)

derivations287.0ms (0%)

Memory
157.4MiB live, 210.1MiB allocated; 15ms collecting garbage
Stop Event
39×fuel
9×done
Compiler

Compiled 10 725 to 5 453 computations (49.2% saved)

start3.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

end1.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Profiling

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