Herbie run

Date:Wednesday, May 7th, 2025
Commit:d1b9a729 on mega-taylor-deduplication
Seed:2025127
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:470 125.8 MB

Time bar (total: 6.6min)

sample2.9min (44.2%)

Memory
1 890.3MiB live, 193 989.0MiB allocated; 1.0min collecting garbage
Samples
48.2s119 062×1valid
35.9s281 565×0valid
20.3s3 978×4exit
15.4s25 332×2valid
8.3s3 339×3valid
7.8s11 418×5exit
5.1s35 156×0exit
2.4s12 073×1invalid
2.0s19 889×0invalid
501.0ms875×2invalid
198.0ms2 774×1exit
86.0ms14×4valid
7.0ms2exit
Precisions
Click to see histograms. Total time spent on operations: 2.1min
ival-pow: 23.4s (18.9% of total)
ival-mult!: 13.0s (10.5% of total)
ival-cos: 12.3s (10% of total)
adjust: 11.8s (9.5% of total)
ival-pow2: 8.2s (6.7% of total)
ival-sin: 8.1s (6.6% of total)
ival-sinu: 7.6s (6.1% of total)
ival-div!: 7.2s (5.8% of total)
ival-exp: 6.0s (4.9% of total)
ival-cosu: 5.4s (4.3% of total)
ival-log: 4.1s (3.3% of total)
ival-sqrt: 3.9s (3.1% of total)
ival-sub!: 3.2s (2.6% of total)
ival-add!: 2.9s (2.4% of total)
ival-neg: 2.7s (2.2% of total)
ival-atan2: 891.0ms (0.7% of total)
ival-hypot: 768.0ms (0.6% of total)
ival-tan: 575.0ms (0.5% of total)
ival-acos: 365.0ms (0.3% of total)
ival-fabs: 270.0ms (0.2% of total)
ival-atan: 264.0ms (0.2% of total)
ival-cbrt: 263.0ms (0.2% of total)
ival-asin: 112.0ms (0.1% of total)
ival-log1p: 106.0ms (0.1% of total)
ival-<: 75.0ms (0.1% of total)
ival-and: 46.0ms (0% of total)
ival-<=: 18.0ms (0% of total)
ival-assert: 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

rewrite54.6s (13.7%)

Memory
2 030.0MiB live, 61 974.6MiB allocated; 18.5s collecting garbage
Stop Event
450×iter-limit
180×node-limit
10×unsound
saturated
Counts
43 238 → 66 614

series36.5s (9.2%)

Memory
1 184.4MiB live, 47 062.5MiB allocated; 11.9s collecting garbage
Counts
7 500 → 35 738
Calls

1602 calls:

TimeVariablePointExpression
3.8s
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 (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))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 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)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (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)) (fabs (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) 3 (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))
362.0ms
eh
@inf
((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 (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))))) (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 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)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (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)) (fabs (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))))) (/ (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))))) (- (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3)) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 3) 3 (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 3) (+ (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))) (pow (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) 2) (+ (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))))) (pow (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) 2) (* (* (* (cos t) ew) (/ 1 (sqrt (+ 1 (pow (* (neg eh) (/ (tan t) ew)) 2))))) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))))))
319.0ms
b
@-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 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)))))) (* (* (* 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))))) (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)) (* 4 (* (* b a) (* b (neg a)))) 4 (* (* b a) (* b (neg a))) (* b a) b a (* b (neg a)) (neg a) (pow (* x-scale y-scale) 2) (* x-scale y-scale) x-scale y-scale (+ (+ (/ (/ (+ (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)))) (+ (/ (/ (+ 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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)))) (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) (/ (* (* (* 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))
267.0ms
t
@0
((fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (* (cos t) eh) (cos t) t eh (tanh (asinh (/ eh (* ew (tan t))))) (asinh (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* ew (tan t)) ew (tan t) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))) (* (sin t) ew) (sin t) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))) 1 (fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (* ew (sin t)) (sin t) (fabs (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2))))))) (+ (* (* (cos t) eh) (tanh (asinh (/ eh (* ew (tan t)))))) (* (* (sin t) ew) (/ 1 (sqrt (+ 1 (pow (/ eh (* ew (tan t))) 2)))))) (* ew (sin t)) (sin t) (* t (+ 1 (* (* t t) (- (* (* t t) (+ 1/120 (* -1/5040 (* t t)))) 1/6)))) (+ 1 (* (* t t) (- (* (* t t) (+ 1/120 (* -1/5040 (* t t)))) 1/6))) (* (* t t) (- (* (* t t) (+ 1/120 (* -1/5040 (* t t)))) 1/6)) (* t t) (- (* (* t t) (+ 1/120 (* -1/5040 (* t t)))) 1/6) (* (* t t) (+ 1/120 (* -1/5040 (* t t)))) (+ 1/120 (* -1/5040 (* t t))) 1/120 (* -1/5040 (* t t)) -1/5040 1/6 (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)))))) (* (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) eh) (tanh (asinh (/ (* (cos t) eh) (* (sin t) ew)))) (asinh (/ (* (cos t) eh) (* (sin t) ew))) (/ (* (cos t) eh) (* (sin t) ew)) (* (sin t) ew) (sin t) (* t (+ 1 (* -1/6 (* t t)))) (+ 1 (* -1/6 (* t t))) (* -1/6 (* t t)) -1/6 (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 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* (cos t) (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))) (* eh (cos t)) (* ew (sin t)))
262.0ms
ew
@0
((fabs (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew)))))) (- (* (* ew (cos t)) (cos (atan (/ (* (neg eh) (tan t)) ew)))) (* (* eh (sin t)) (sin (atan (/ (* (neg eh) (tan t)) ew))))) (neg (* (+ (* eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew)) (neg (* (/ 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)))) eh (/ (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) ew) (* (tanh (asinh (neg (* (/ eh ew) (tan t))))) (sin t)) (tanh (asinh (neg (* (/ eh ew) (tan t))))) (asinh (neg (* (/ eh ew) (tan t)))) (neg (* (/ eh ew) (tan t))) (* (/ eh ew) (tan t)) (/ (* eh t) ew) (* eh t) t ew (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)) (/ 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)))) 1 (sqrt (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2))) (+ 1 (pow (neg (* (/ eh ew) (tan t))) 2)) (pow (neg (* (/ eh ew) (tan t))) 2) 2 (cos t) (sqrt (* (- (* (* 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))))) (- (* (* 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 (- (* (* (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)))))) (* -1 (* ew (cos t))) -1 (* ew (cos t)) (cos t) (+ 1 (* (* t t) (- (* 1/24 (* t t)) 1/2))) (* (* t t) (- (* 1/24 (* t t)) 1/2)) (* t t) (- (* 1/24 (* t t)) 1/2) (* 1/24 (* t t)) 1/24 1/2 (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)))))) (* -1 (* ew (cos t))) (+ (* -1 ew) (* (* t t) (+ (* 1/2 ew) (* (* t t) (+ (* -1/24 ew) (* 1/720 (* ew (* t t)))))))) (* (* t t) (+ (* 1/2 ew) (* (* t t) (+ (* -1/24 ew) (* 1/720 (* ew (* t t))))))) (+ (* 1/2 ew) (* (* t t) (+ (* -1/24 ew) (* 1/720 (* ew (* t t)))))) (* (* t t) (+ (* -1/24 ew) (* 1/720 (* ew (* t t))))) (+ (* -1/24 ew) (* 1/720 (* ew (* t t)))) -1/24 (* 1/720 (* ew (* t t))) 1/720 (* ew (* t 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))))) (* (cos t) ew) (/ 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)) (neg eh) (/ (tan t) ew) (tan t) (* (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew))))) (* (sin t) eh) (tanh (asinh (* (neg eh) (/ (tan t) ew)))) (asinh (* (neg eh) (/ (tan t) ew))))

regimes35.3s (8.9%)

Memory
77.7MiB live, 45 341.2MiB allocated; 10.4s collecting garbage
Counts
18 519 → 810
Calls

155 calls:

2.7s
phi2
2.6s
phi1
2.2s
lambda1
2.0s
lambda2
1.8s
(-.f64 lambda1 lambda2)
Compiler

Compiled 13 728 to 14 073 computations (-2.5% saved)

eval25.1s (6.3%)

Memory
-328.4MiB live, 37 362.4MiB allocated; 9.0s collecting garbage
Compiler

Compiled 4 259 302 to 482 681 computations (88.7% saved)

analyze17.9s (4.5%)

Memory
-319.3MiB live, 19 107.9MiB allocated; 8.3s 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)

prune17.3s (4.3%)

Memory
-311.2MiB live, 25 917.2MiB allocated; 4.3s collecting garbage
Counts
70 462 → 6 058
Compiler

Compiled 636 290 to 394 750 computations (38% saved)

derivations14.7s (3.7%)

Memory
184.3MiB live, 13 038.7MiB allocated; 3.3s collecting garbage
Stop Event
41×fuel
11×done
Compiler

Compiled 11 403 to 5 702 computations (50% saved)

preprocess10.6s (2.7%)

Memory
-511.3MiB live, 14 196.9MiB allocated; 2.8s collecting garbage
Stop Event
51×node-limit
saturated
Compiler

Compiled 158 973 to 80 052 computations (49.6% saved)

bsearch10.5s (2.6%)

Memory
268.9MiB live, 12 128.7MiB allocated; 2.1s collecting garbage
Algorithm
277×binary-search
90×left-value
Stop Event
273×narrow-enough
predicate-same
Samples
5.4s7 351×1valid
2.0s12 887×0valid
441.0ms659×2valid
231.0ms143×3valid
64.0ms909×0invalid
3.0ms60×0exit
Compiler

Compiled 197 026 to 140 189 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.2s
ival-sin: 1.9s (26.4% of total)
ival-cos: 1.8s (25% of total)
ival-mult!: 882.0ms (12.2% of total)
adjust: 547.0ms (7.6% of total)
ival-pow2: 433.0ms (6% of total)
ival-div!: 331.0ms (4.6% of total)
ival-sinu: 244.0ms (3.4% of total)
ival-sub!: 243.0ms (3.4% of total)
ival-cosu: 203.0ms (2.8% of total)
ival-sqrt: 186.0ms (2.6% of total)
ival-atan2: 148.0ms (2% of total)
ival-add!: 83.0ms (1.1% of total)
ival-hypot: 61.0ms (0.8% of total)
ival-acos: 33.0ms (0.5% of total)
ival-neg: 32.0ms (0.4% of total)
ival-exp: 29.0ms (0.4% of total)
ival-atan: 27.0ms (0.4% of total)
ival-tan: 10.0ms (0.1% of total)
ival-asin: 9.0ms (0.1% of total)
ival-log: 8.0ms (0.1% of total)
ival-log1p: 2.0ms (0% of total)
ival-fabs: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

start3.0ms (0%)

Memory
5.7MiB live, 5.6MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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