Herbie run

Date:Monday, May 12th, 2025
Commit:2ad78556 on artem-rules-updates
Seed:2025132
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:462 820.3 MB

Time bar (total: 6.9min)

sample3.0min (43.9%)

Memory
2 189.7MiB live, 201 792.1MiB allocated; 55.0s collecting garbage
Samples
52.0s119 695×1valid
37.7s280 741×0valid
16.5s25 603×2valid
16.0s3 860×4exit
8.5s3 250×3valid
7.8s11 222×5exit
4.7s34 211×0exit
2.6s12 102×1invalid
2.4s19 705×0invalid
494.0ms904×2invalid
408.0ms2 640×1exit
115.0ms23×4valid
1.0ms2exit
Precisions
Click to see histograms. Total time spent on operations: 2.1min
ival-pow: 20.2s (15.9% of total)
ival-mult!: 16.6s (13% of total)
ival-cos: 13.3s (10.5% of total)
adjust: 12.6s (9.9% of total)
ival-pow2: 9.7s (7.6% of total)
ival-sin: 8.5s (6.7% of total)
ival-div!: 7.8s (6.1% of total)
ival-sinu: 5.8s (4.5% of total)
ival-exp: 5.8s (4.5% of total)
ival-cosu: 5.3s (4.2% of total)
ival-log: 4.4s (3.5% of total)
ival-sqrt: 4.1s (3.2% of total)
ival-sub!: 3.7s (2.9% of total)
ival-add!: 3.2s (2.5% of total)
ival-neg: 2.2s (1.7% of total)
ival-tan: 917.0ms (0.7% of total)
ival-atan2: 908.0ms (0.7% of total)
ival-hypot: 659.0ms (0.5% of total)
ival-atan: 472.0ms (0.4% of total)
ival-acos: 411.0ms (0.3% of total)
ival-cbrt: 284.0ms (0.2% of total)
ival-fabs: 237.0ms (0.2% of total)
ival-asin: 162.0ms (0.1% of total)
ival-log1p: 115.0ms (0.1% of total)
ival-<: 76.0ms (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

rewrite59.6s (14.4%)

Memory
858.1MiB live, 59 150.5MiB allocated; 15.9s collecting garbage
Stop Event
366×iter-limit
176×node-limit
36×saturated
19×unsound
Counts
40 850 → 65 104

series37.0s (8.9%)

Memory
73.8MiB live, 41 356.6MiB allocated; 16.3s collecting garbage
Counts
7 247 → 33 603
Calls

1548 calls:

TimeVariablePointExpression
1.2s
c_p
@inf
((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) 1 (+ 1 (exp (neg s))) (exp (neg s)) (neg s) s c_p (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ 1 (+ 1 (exp (neg t)))) (+ 1 (exp (neg t))) (exp (neg t)) (neg t) t (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg t))))))
1.1s
a
@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 (* (* x-scale (sqrt 8)) (sqrt (+ (* 2 (pow (* a (cos (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (* 1/180 (* angle (PI))))) 2)))))) 1/4 (* (* x-scale (sqrt 8)) (sqrt (+ (* 2 (pow (* a (cos (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (* 1/180 (* angle (PI))))) 2))))) (* x-scale (sqrt 8)) x-scale (sqrt 8) 8 (sqrt (+ (* 2 (pow (* a (cos (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (* 1/180 (* angle (PI))))) 2)))) (+ (* 2 (pow (* a (cos (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (sin (* 1/180 (* angle (PI))))) 2))) 2 (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* a (cos (* 1/180 (* angle (PI))))) a (cos (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* 2 (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* b (sin (* 1/180 (* angle (PI))))) b (sin (* 1/180 (* angle (PI)))) (/ (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 (* y-scale 4))) (* b (* y-scale 4)) (* y-scale 4) y-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))) (* -1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (* 2 (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 2 (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))))) -1/4 (* (* x-scale (* y-scale (sqrt 8))) (sqrt (+ (* 2 (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 2 (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))))) (* x-scale (* y-scale (sqrt 8))) (* y-scale (sqrt 8)) (sqrt (+ (* 2 (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 2 (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))))) (+ (* 2 (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 2 (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))) (/ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)) (* y-scale y-scale) (* 2 (/ (pow (* b (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-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))) (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))) (/ (* 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) (+ (+ (/ (/ (+ (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 (pow (* a (cos (* 1/180 (* angle (PI))))) 2)) (* 2 (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))) (* y-scale (+ (* 1/8 (* (/ (* x-scale (* (sqrt 8) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2))))) (* y-scale y-scale)) (sqrt (/ 1 (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))))))) (* 1/4 (* (* x-scale (sqrt 8)) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))))))) (+ (* 1/8 (* (/ (* x-scale (* (sqrt 8) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2))))) (* y-scale y-scale)) (sqrt (/ 1 (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))))))) (* 1/4 (* (* x-scale (sqrt 8)) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))))))) 1/8 (* (/ (* x-scale (* (sqrt 8) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2))))) (* y-scale y-scale)) (sqrt (/ 1 (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))))) (/ (* x-scale (* (sqrt 8) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2))))) (* y-scale y-scale)) (* x-scale (* (sqrt 8) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2))))) (* (sqrt 8) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)))) (+ (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2))) 1/2 (/ (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale))) (+ (* -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)))) -2 (* (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-scale))) (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* x-scale x-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))))) (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* b (cos (* 1/180 (* angle (PI))))) (* x-scale x-scale) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale))) (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* x-scale x-scale)) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (pow (cos (* 1/180 (* angle (PI)))) 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)) (* b b) (* a a) (sqrt (/ 1 (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))))) (/ 1 (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))) 1 (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (* 1/4 (* (* x-scale (sqrt 8)) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))))) (* (* x-scale (sqrt 8)) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))))) (sqrt (+ (* 2 (/ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 2 (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))))))
1.1s
x
@-inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) 2 (log x) x (log (* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x))) (* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x)) (+ (sqrt (- 1 (* x x))) 1) (sqrt (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) (/ 1 x) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) (log (/ (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ 1 x))) (- (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (/ (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ 1 x))) (- (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ 1 x))) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (/ (sqrt (- 1 (* x x))) x) (* (/ 1 x) (/ 1 x)) (- (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))
730.0ms
h
@0
((+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))) (/ 1 (* 2 a)) 1 (* 2 a) 2 a (+ (neg g) (sqrt (- (* g g) (* h h)))) (* -1/2 (/ (pow h 2) g)) -1/2 (/ (pow h 2) g) (pow h 2) h g (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))) (* -1 (/ g a)) -1 (/ g a) (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))) (* 1/2 (/ (* h (sqrt -1)) a)) 1/2 (/ (* h (sqrt -1)) a) (* h (sqrt -1)) (sqrt -1) (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))) (- (neg g) (sqrt (- (* g g) (* h h)))) (neg g) (sqrt (- (* g g) (* h h))) (- (* g g) (* h h)) (* g g) (* h h) (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (cbrt (/ (pow h 2) (* a g))) (* (cbrt -1/2) (cbrt 1/2))) (cbrt (/ (pow h 2) (* a g))) (/ (pow h 2) (* a g)) (* a g) (* (cbrt -1/2) (cbrt 1/2)) (cbrt -1/2) (cbrt 1/2) (+ (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))) (cbrt (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))) (* -1/4 (/ (pow h 2) (* a g))) -1/4 (cbrt (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h)))))) (* (/ 1 (* 2 a)) (- (neg g) (sqrt (- (* g g) (* h h))))) (- (neg g) (sqrt (- (* g g) (* h h)))) (* -1 (/ (- (* 1/8 (/ (pow h 4) (pow g 2))) (* -1/2 (pow h 2))) g)) (/ (- (* 1/8 (/ (pow h 4) (pow g 2))) (* -1/2 (pow h 2))) g) (- (* 1/8 (/ (pow h 4) (pow g 2))) (* -1/2 (pow h 2))) (* 1/8 (/ (pow h 4) (pow g 2))) 1/8 (/ (pow h 4) (pow g 2)) (pow h 4) 4 (pow g 2) (* -1/2 (pow h 2)))
712.0ms
b
@0
((exp (log (* a b))) (log (* a b)) (* a b) a b (* (exp (log a)) (exp (log b))) (exp (log a)) (log a) (exp (log b)) (log b))

eval34.0s (8.2%)

Memory
94.4MiB live, 42 887.7MiB allocated; 13.7s collecting garbage
Compiler

Compiled 3 703 829 to 461 028 computations (87.6% saved)

regimes25.2s (6.1%)

Memory
425.0MiB live, 31 624.1MiB allocated; 5.5s collecting garbage
Counts
14 628 → 777
Calls

144 calls:

2.1s
phi2
2.0s
phi1
1.6s
lambda1
1.5s
lambda2
1.1s
(-.f64 lambda1 lambda2)
Compiler

Compiled 14 067 to 13 254 computations (5.8% saved)

prune20.8s (5%)

Memory
-379.0MiB live, 27 085.2MiB allocated; 8.1s collecting garbage
Counts
67 896 → 5 641
Compiler

Compiled 574 160 to 363 043 computations (36.8% saved)

analyze17.4s (4.2%)

Memory
457.0MiB live, 20 612.5MiB allocated; 5.6s 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)

derivations16.4s (4%)

Memory
-536.4MiB live, 13 589.0MiB allocated; 3.8s collecting garbage
Stop Event
38×fuel
14×done
Compiler

Compiled 10 678 to 5 469 computations (48.8% saved)

preprocess11.5s (2.8%)

Memory
-460.8MiB live, 13 940.4MiB allocated; 4.0s collecting garbage
Stop Event
52×node-limit
iter-limit
Compiler

Compiled 133 298 to 75 219 computations (43.6% saved)

bsearch10.3s (2.5%)

Memory
104.8MiB live, 10 774.1MiB allocated; 2.9s collecting garbage
Algorithm
281×binary-search
64×left-value
Stop Event
274×narrow-enough
predicate-same
Samples
3.3s5 630×1valid
2.7s12 713×0valid
1.7s1 405×5exit
324.0ms554×2valid
124.0ms858×0invalid
89.0ms47×3valid
1.0ms22×0exit
Compiler

Compiled 162 607 to 129 767 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.2s
ival-sin: 1.1s (15.8% of total)
ival-cos: 1.1s (15.5% of total)
ival-pow: 932.0ms (12.9% of total)
adjust: 850.0ms (11.7% of total)
ival-sub!: 836.0ms (11.5% of total)
ival-mult!: 701.0ms (9.7% of total)
ival-pow2: 395.0ms (5.5% of total)
ival-div!: 278.0ms (3.8% of total)
ival-sinu: 158.0ms (2.2% of total)
ival-cosu: 153.0ms (2.1% of total)
ival-sqrt: 140.0ms (1.9% of total)
ival-exp: 107.0ms (1.5% of total)
ival-add!: 104.0ms (1.4% of total)
ival-atan2: 89.0ms (1.2% of total)
ival-neg: 53.0ms (0.7% of total)
ival-acos: 52.0ms (0.7% of total)
ival-asin: 32.0ms (0.4% of total)
ival-atan: 28.0ms (0.4% of total)
ival-tan: 26.0ms (0.4% of total)
ival-hypot: 17.0ms (0.2% of total)
ival-log: 16.0ms (0.2% of total)
ival-fabs: 5.0ms (0.1% of total)
ival-cbrt: 3.0ms (0% of total)
ival-log1p: 1.0ms (0% of total)

start3.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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