Herbie run

Date:Wednesday, March 5th, 2025
Commit:141e80a8 on main
Seed:2025064
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:503 746.2 MB

Time bar (total: 8.0min)

sample3.8min (47.3%)

Memory
1 804.4MiB live, 224 548.1MiB allocated; 1.1min collecting garbage
Samples
58.1s119 617×1valid
55.9s17 851×5exit
40.8s281 694×0valid
17.9s24 817×2valid
7.1s3 159×3valid
6.2s34 712×0exit
2.6s11 994×1invalid
2.4s19 462×0invalid
422.0ms877×2invalid
257.0ms25×4valid
65.0ms32×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.8min
ival-pow: 44.2s (26.3% of total)
adjust: 18.3s (10.9% of total)
ival-mult: 18.1s (10.7% of total)
ival-cos: 11.9s (7.1% of total)
ival-div: 10.7s (6.4% of total)
ival-sin: 9.7s (5.8% of total)
ival-pow2: 7.1s (4.2% of total)
ival-exp: 6.5s (3.8% of total)
ival-sub: 6.3s (3.8% of total)
ival-cosu: 6.1s (3.6% of total)
ival-add: 6.1s (3.6% of total)
ival-sinu: 5.3s (3.2% of total)
ival-log: 4.1s (2.4% of total)
ival-sqrt: 3.3s (1.9% of total)
ival-neg: 2.6s (1.5% of total)
ival-log1p: 1.6s (1% of total)
ival-atan: 1.3s (0.8% of total)
ival-hypot: 974.0ms (0.6% of total)
ival-tan: 784.0ms (0.5% of total)
ival-atan2: 764.0ms (0.5% of total)
ival-acos: 402.0ms (0.2% of total)
ival-cbrt: 387.0ms (0.2% of total)
const: 369.0ms (0.2% of total)
exact: 358.0ms (0.2% of total)
ival-pi: 182.0ms (0.1% of total)
ival-fabs: 180.0ms (0.1% of total)
ival-assert: 167.0ms (0.1% of total)
ival-asin: 145.0ms (0.1% of total)
ival-<: 73.0ms (0% of total)
ival-and: 51.0ms (0% of total)
ival-<=: 6.0ms (0% of total)
ival-==: 1.0ms (0% of total)
ival-or: 0.0ms (0% of total)
Bogosity

rewrite56.4s (11.7%)

Memory
1 360.7MiB live, 58 800.3MiB allocated; 12.0s collecting garbage
Stop Event
459×iter limit
189×node limit
unsound
saturated
Counts
53 706 → 81 480

series32.0s (6.7%)

Memory
544.0MiB live, 37 909.5MiB allocated; 7.6s collecting garbage
Counts
7 597 → 46 109
Calls

1626 calls:

TimeVariablePointExpression
1.1s
x-scale
@0
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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))) (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)) (* -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))))) -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))))) (/ y-scale x-scale) y-scale x-scale (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))) (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* a (sin (* 1/180 (* angle (PI))))) a (sin (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* b (cos (* 1/180 (* angle (PI))))) b (cos (* 1/180 (* angle (PI)))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) (- (* b b) (* a a)) (* b b) (* a a) (* 180 (/ (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 (- 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x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))) (sin (* 1/180 (* angle (PI)))))) (/ x-scale (cos (* 1/180 (* angle (PI))))) (/ (* y-scale (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))) (sin (* 1/180 (* angle (PI))))) (* y-scale (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))))) (- (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)))) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (pow (cos (* 1/180 (* angle (PI)))) 2) (+ (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2))) (pow (- (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale))) 2))) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* 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(sin (* 1/180 (* angle (PI))))) 2)) (pow (* x-scale y-scale) 2))) (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)) (pow (* x-scale y-scale) 2)) (* (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))) (/ (pow (* b (cos (* 1/180 (* angle (PI))))) 2) (* x-scale x-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 (* (/ 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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) (/ (/ 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224.0ms
s
@-inf
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193.0ms
y-scale
@inf
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193.0ms
ew
@0
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173.0ms
b
@0
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(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)) (* 90 (/ (* x-scale (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale)))))) (* angle (* (PI) (- (* b b) (* a a)))))) 90 (/ (* x-scale (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale)))))) (* angle (* (PI) (- (* b b) (* a a))))) (* x-scale (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale)))))) (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale)))) (* 2 (/ (* a a) (* y-scale y-scale))) 2 (/ (* a a) (* y-scale y-scale)) (* a a) a (* y-scale y-scale) (* 2 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale)) (* b b) b (* x-scale x-scale) (* angle (* (PI) (- (* b b) (* a a)))) (* (PI) (- (* b b) (* a a))) (- (* b b) (* a a)) (* 180 (/ (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))) (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))) (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)) (* -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))))) (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))))) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (pow (* b (cos (* 1/180 (* angle (PI))))) 2))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))) (* 2 (/ (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))))) (/ (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI)))) (* 180 (/ (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))) (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))) (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)) (* -1/2 (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (exp (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2)))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))))) (* (/ y-scale x-scale) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (exp (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2)))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))))) (/ (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (exp (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2)))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))) (+ (* 2 (pow (* a (sin (* 1/180 (* angle (PI))))) 2)) (* 2 (exp (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2)))) (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (* a (sin (* 1/180 (* angle (PI))))) (* 2 (exp (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2))) (exp (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2)) (* (log (* b (cos (* 1/180 (* angle (PI)))))) 2) (log (* b (cos (* 1/180 (* angle (PI)))))) (* b (cos (* 1/180 (* angle (PI))))) (* (cos (* 1/180 (* angle (PI)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a)))) (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))))

regimes30.8s (6.4%)

Memory
152.9MiB live, 36 997.1MiB allocated; 5.6s collecting garbage
Counts
17 576 → 824
Calls

155 calls:

2.3s
phi2
2.3s
phi1
2.2s
lambda1
2.0s
lambda2
1.5s
(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) #s(literal 2 binary64)))))
Compiler

Compiled 16 428 to 13 690 computations (16.7% saved)

eval25.7s (5.3%)

Memory
115.3MiB live, 30 598.5MiB allocated; 10.0s collecting garbage
Compiler

Compiled 12 016 992 to 585 871 computations (95.1% saved)

prune23.5s (4.9%)

Memory
3.3MiB live, 32 644.0MiB allocated; 6.8s collecting garbage
Counts
111 511 → 5 751
Compiler

Compiled 903 852 to 355 974 computations (60.6% saved)

explain22.6s (4.7%)

Memory
-573.7MiB live, 24 839.1MiB allocated; 6.3s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64#fsensitivity18774
+.f64#fcancellation174334
sin.f64#fsensitivity16385
sqrt.f64#foflow-rescue14560
-.f64#fcancellation93311
-.f64#fnan-rescue6630
log.f64#fsensitivity5951
/.f64#fo/n4510
/.f64#fo/o3630
/.f64#fu/u2730
*.f64#fn*o2700
exp.f64#fsensitivity16220
sqrt.f64#fuflow-rescue1560
/.f64#fu/n1510
/.f64#fn/o1200
cbrt.f64#foflow-rescue940
*.f64#fn*u920
/.f64#fn/u440
cbrt.f64#fuflow-rescue400
*.f64#fu*o300
acos.f64(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))sensitivity271
*.f64#fo*u260
pow.f64#fuflow-rescue110
pow.f64#fsensitivity80
log.f64#foflow-rescue30
asin.f64(asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))sensitivity10
Confusion
Predicted +Predicted -
+580168
-13836060
Precision
0.807488864142539
Recall
0.9884136990969501
Confusion?
Predicted +Predicted MaybePredicted -
+58013533
-1383266034
Precision?
0.8055210489993099
Recall?
0.994377236326461
Freqs
test
numberfreq
06128
14787
21557
3363
4258
5148
644
718
86
93
Total Confusion?
Predicted +Predicted MaybePredicted -
+4201
-306
Precision?
0.9333333333333333
Recall?
0.9767441860465116
Samples
3.7s7 742×1valid
2.5s16 592×0valid
2.2s1 986×2valid
658.0ms302×3valid
6.0ms4valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 7.2s
ival-sin: 1.1s (15.5% of total)
ival-mult: 1.0s (13.9% of total)
adjust: 855.0ms (11.9% of total)
ival-cos: 667.0ms (9.3% of total)
ival-div: 523.0ms (7.3% of total)
ival-sinu: 477.0ms (6.6% of total)
ival-pow2: 391.0ms (5.4% of total)
ival-cosu: 372.0ms (5.2% of total)
ival-add: 363.0ms (5% of total)
ival-sub: 297.0ms (4.1% of total)
ival-sqrt: 246.0ms (3.4% of total)
ival-exp: 245.0ms (3.4% of total)
ival-log: 217.0ms (3% of total)
ival-tan: 60.0ms (0.8% of total)
ival-neg: 60.0ms (0.8% of total)
ival-hypot: 59.0ms (0.8% of total)
ival-atan2: 39.0ms (0.5% of total)
ival-acos: 35.0ms (0.5% of total)
ival-atan: 28.0ms (0.4% of total)
ival-true: 24.0ms (0.3% of total)
ival-cbrt: 23.0ms (0.3% of total)
ival-pow: 22.0ms (0.3% of total)
ival-pi: 22.0ms (0.3% of total)
exact: 20.0ms (0.3% of total)
ival-assert: 12.0ms (0.2% of total)
ival-fabs: 11.0ms (0.2% of total)
ival-asin: 7.0ms (0.1% of total)
ival-log1p: 5.0ms (0.1% of total)

analyze18.8s (3.9%)

Memory
5.2MiB live, 19 543.3MiB 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)

preprocess15.7s (3.3%)

Memory
523.0MiB live, 14 400.6MiB allocated; 5.1s collecting garbage
Stop Event
104×iter limit
92×node limit
12×saturated
Compiler

Compiled 109 203 to 21 115 computations (80.7% saved)

derivations15.0s (3.1%)

Memory
-32.5MiB live, 11 104.2MiB allocated; 3.3s collecting garbage
Stop Event
44×fuel
done
Compiler

Compiled 38 921 to 5 447 computations (86% saved)

bsearch9.4s (2%)

Memory
136.9MiB live, 9 448.4MiB allocated; 1.3s collecting garbage
Algorithm
279×binary-search
97×left-value
Stop Event
270×narrow-enough
predicate-same
Samples
4.5s7 080×1valid
2.0s12 979×0valid
490.0ms792×2valid
133.0ms45×3valid
74.0ms809×0invalid
0.0ms0exit
Compiler

Compiled 210 581 to 130 877 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.2s
ival-cos: 1.5s (24.1% of total)
ival-sin: 1.4s (22.7% of total)
ival-mult: 922.0ms (14.8% of total)
adjust: 601.0ms (9.6% of total)
ival-div: 289.0ms (4.6% of total)
ival-pow2: 266.0ms (4.3% of total)
ival-sub: 258.0ms (4.1% of total)
ival-sqrt: 159.0ms (2.5% of total)
ival-add: 133.0ms (2.1% of total)
ival-atan2: 101.0ms (1.6% of total)
ival-sinu: 97.0ms (1.6% of total)
ival-cosu: 82.0ms (1.3% of total)
ival-tan: 82.0ms (1.3% of total)
ival-acos: 81.0ms (1.3% of total)
ival-exp: 54.0ms (0.9% of total)
ival-log: 43.0ms (0.7% of total)
ival-neg: 31.0ms (0.5% of total)
ival-atan: 27.0ms (0.4% of total)
ival-hypot: 21.0ms (0.3% of total)
ival-pi: 21.0ms (0.3% of total)
ival-true: 15.0ms (0.2% of total)
exact: 10.0ms (0.2% of total)
ival-assert: 9.0ms (0.1% of total)
ival-fabs: 7.0ms (0.1% of total)
ival-asin: 6.0ms (0.1% of total)
ival-pow: 4.0ms (0.1% of total)
ival-log1p: 1.0ms (0% of total)

simplify3.3s (0.7%)

Memory
-146.9MiB live, 2 905.2MiB allocated; 1.3s collecting garbage
Stop Event
47×node limit
saturated

start3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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