Metrics for Herbie run

Date:	Thursday, February 13th, 2025
Commit:	0e88e39c on custom-lifting-lowering
Seed:	2025044
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:	555 189.1 MB

sample3.8min (46%)

Memory

2 285.2MiB live, 247 916.3MiB allocated; 1.1min collecting garbage

Samples

55.0s	120 118×	1	valid
51.5s	18 033×	5	exit
41.0s	281 061×	0	valid
17.8s	24 871×	2	valid
8.4s	3 233×	3	valid
6.9s	35 667×	0	exit
3.8s	19 864×	0	invalid
3.0s	12 318×	1	invalid
590.0ms	894×	2	invalid
149.0ms	29×	4	valid
25.0ms	40×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.7min

ival-pow: 41.4s (25.4% of total)

ival-mult: 19.5s (11.9% of total)

adjust: 17.6s (10.8% of total)

ival-cos: 11.1s (6.8% of total)

ival-div: 10.8s (6.6% of total)

ival-sin: 8.7s (5.3% of total)

ival-pow2: 8.2s (5% of total)

ival-sub: 7.2s (4.4% of total)

ival-exp: 6.2s (3.8% of total)

ival-add: 5.8s (3.6% of total)

ival-sinu: 5.7s (3.5% of total)

ival-cosu: 5.5s (3.4% of total)

ival-log: 4.3s (2.6% of total)

ival-sqrt: 3.7s (2.2% of total)

ival-neg: 2.1s (1.3% of total)

ival-log1p: 934.0ms (0.6% of total)

ival-atan2: 854.0ms (0.5% of total)

ival-tan: 684.0ms (0.4% of total)

ival-hypot: 659.0ms (0.4% of total)

const: 495.0ms (0.3% of total)

exact: 365.0ms (0.2% of total)

ival-acos: 364.0ms (0.2% of total)

ival-atan: 341.0ms (0.2% of total)

ival-cbrt: 246.0ms (0.2% of total)

ival-assert: 179.0ms (0.1% of total)

ival-fabs: 154.0ms (0.1% of total)

ival-asin: 123.0ms (0.1% of total)

ival-pi: 110.0ms (0.1% of total)

ival-<: 73.0ms (0% of total)

ival-and: 53.0ms (0% of total)

ival-<=: 7.0ms (0% of total)

ival-==: 1.0ms (0% of total)

ival-or: 0.0ms (0% of total)

Bogosity

rewrite53.3s (10.9%)

Memory

533.0MiB live, 59 521.1MiB allocated; 17.0s collecting garbage

Stop Event

252×	iter limit
187×	node limit
6×	unsound
4×	saturated

Counts

51 465 → 77 399

regimes36.1s (7.4%)

Memory

275.8MiB live, 41 714.5MiB allocated; 9.4s collecting garbage

Counts

18 039 → 782

Calls

155 calls:

2.7s	phi1
2.6s	(-.f64 lambda1 lambda2)
2.5s	phi2
2.3s	lambda2
2.1s	lambda1

Compiler

Compiled 17 933 to 14 724 computations (17.9% saved)

series33.6s (6.9%)

Memory

-440.1MiB live, 44 227.4MiB allocated; 10.8s collecting garbage

Counts

7 454 → 44 011

Calls

1608 calls:

Time	Variable		Point	Expression
508.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (exp b) b)
429.0ms	y-scale	@	0	((/ (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)))) (+ (/ (/ (+ (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 (* 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) angle 180 (PI) (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 (* 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))
423.0ms	x-scale	@	inf	((/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* a (* x-scale 4))) (* a x-scale) a x-scale (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))))) 1/4 (* (* y-scale (sqrt 8)) (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))))) (* y-scale (sqrt 8)) y-scale (sqrt 8) 8 (sqrt (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))))) (- (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (* 1/2 (/ (+ (* -2 (* (+ (pow (* a (sin (* 1/180 (* angle (PI))))) 2) (pow (* b (cos (* 1/180 (* angle (PI))))) 2)) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)))) (* 4 (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (* (sin (* 1/180 (* angle (PI)))) (- (* b b) (* a a))) 2)) (* y-scale y-scale)))) (/ (+ (pow (* a (cos (* 1/180 (* angle (PI))))) 2) (pow (* b (sin (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale))))) (- (* b b) (* -1 (* b b))) (* b b) b (* -1 (* b b)) -1 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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))))))) (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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)))))) (* a (* x-scale (* y-scale (sqrt 8)))) (* x-scale (* y-scale (sqrt 8))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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 (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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 (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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) (cos (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) 2 (* y-scale y-scale) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale)) (pow (sin (* 1/180 (* angle (PI)))) 2) (sin (* 1/180 (* angle (PI)))) (* x-scale x-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))) (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* 1/4 (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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))))))) (* (* a (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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)))))) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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 (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (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 (* 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)) (* 1/2 (/ (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2)))) (* 1/2 (/ (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2))) 1/2 (/ (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2)) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)))) -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale)) (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* x-scale x-scale))) 4 (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (- (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))))) (* (/ (* (pow a 3) (* (* b b) (sqrt 8))) (* x-scale y-scale)) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (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 a 3) (* (* b b) (sqrt 8))) (* x-scale y-scale)) (* (pow a 3) (* (* b b) (sqrt 8))) (pow a 3) 3 (* (* b b) (sqrt 8)) (* x-scale y-scale) (sqrt (- (+ (/ (pow (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (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 (cos (* 1/180 (* angle (PI)))) 2) (* y-scale y-scale)) (/ (pow (sin (* 1/180 (* angle (PI)))) 2) (* x-scale x-scale))) (sqrt (+ (* 4 (/ (pow (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (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)))) (sqrt (+ (* 4 (/ (pow (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (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))) (+ (* 4 (/ (pow (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (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))) (/ (PI) 2))) (sin (* 1/180 (* angle (PI))))) 2) (pow (* x-scale y-scale) 2)) (pow (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (sin (* 1/180 (* angle (PI))))) 2) (* (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (sin (* 1/180 (* angle (PI))))) (sin (+ (* 1/180 (* angle (PI))) (/ (PI) 2))) (+ (* 1/180 (* angle (PI))) (/ (PI) 2)) (/ (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))) (/ (* 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))
390.0ms	lambda2	@	-inf	((* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)) (sin phi1) phi1 (sin phi2) phi2 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (cos phi1) (cos phi2)) (cos phi1) (cos phi2) (cos (- lambda1 lambda2)) (- lambda1 lambda2) lambda1 lambda2 R)
195.0ms	t	@	0	((fabs (+ (* ew (* (sin t) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))))) (* (tanh (asinh (/ (/ eh ew) (tan t)))) (* (cos t) eh)))) (+ (* ew (* (sin t) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))))) (* (tanh (asinh (/ (/ eh ew) (tan t)))) (* (cos t) eh))) ew (* (sin t) (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))) (sin t) t (/ 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))) 1 (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))) (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))) (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) eh (tan t) (* (tanh (asinh (/ (/ eh ew) (tan t)))) (* (cos t) eh)) (tanh (asinh (/ (/ eh ew) (tan t)))) (asinh (/ (/ eh ew) (tan t))) (* (cos t) eh) (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)))))) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) eh) (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (asinh (* (/ (cos t) ew) (/ eh (sin t)))) (* (/ (cos t) ew) (/ eh (sin t))) (/ eh (* ew t)) (* ew 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)))))) (* (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) eh) (tanh (asinh (* (/ (cos t) ew) (/ eh (sin t))))) (asinh (* (/ (cos t) ew) (/ eh (sin t)))) (* (/ (cos t) ew) (/ eh (sin t))) (/ (cos t) ew) (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 (/ eh (sin t)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (* (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))))) (* eh (cos t)) (/ (/ (/ eh ew) (tan t)) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))))) (/ (/ eh ew) (tan t)) (/ (/ (+ (* -1/3 (* (* t t) eh)) eh) ew) t) (/ (+ (* -1/3 (* (* t t) eh)) eh) ew) (+ (* -1/3 (* (* t t) eh)) eh) -1/3 (* (* t t) eh) (sqrt (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))))) (+ 1 (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t)))) (* (/ (/ eh ew) (tan t)) (/ (/ eh ew) (tan t))) (fabs (+ (* (* ew (sin t)) (/ 1 (sqrt (+ 1 (pow (/ (/ eh ew) (tan t)) 2))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (/ 1 (sqrt (+ 1 (pow (/ (/ eh ew) (tan t)) 2))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (/ 1 (sqrt (+ 1 (pow (/ (/ eh ew) (tan t)) 2))))) (/ 1 (sqrt (+ 1 (pow (/ (/ eh ew) (tan t)) 2)))) (sqrt (+ 1 (pow (/ (/ eh ew) (tan t)) 2))) (+ 1 (pow (/ (/ eh ew) (tan t)) 2)) (pow (/ (/ eh ew) (tan t)) 2) 2 (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))) (sin (atan (/ (/ eh ew) (tan t)))))

eval25.9s (5.3%)

Memory: -343.3MiB live, 31 985.2MiB allocated; 12.5s collecting garbage
Compiler: Compiled 11 943 178 to 558 086 computations (95.3% saved)

bsearch23.7s (4.8%)

Memory

204.5MiB live, 15 166.8MiB allocated; 3.7s collecting garbage

Algorithm

271×	binary-search
63×	left-value

Stop Event

262×	narrow-enough
9×	predicate-same

Samples

11.8s	2 040×	5	exit
5.1s	6 928×	1	valid
2.1s	12 785×	0	valid
1.5s	1 024×	2	valid
532.0ms	45×	4	valid
142.0ms	1 231×	0	invalid
129.0ms	126×	1	invalid
45.0ms	18×	3	valid
31.0ms	55×	2	invalid
4.0ms	4×	0	exit

Compiler

Compiled 206 100 to 125 104 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0s

ival-pow: 10.4s (51.9% of total)

adjust: 2.6s (13% of total)

ival-cos: 1.7s (8.3% of total)

ival-sin: 1.6s (7.9% of total)

ival-mult: 1.0s (5.1% of total)

ival-div: 617.0ms (3.1% of total)

ival-sub: 427.0ms (2.1% of total)

ival-pow2: 381.0ms (1.9% of total)

ival-exp: 280.0ms (1.4% of total)

ival-add: 231.0ms (1.2% of total)

ival-sqrt: 203.0ms (1% of total)

ival-atan2: 112.0ms (0.6% of total)

ival-sinu: 104.0ms (0.5% of total)

ival-cosu: 101.0ms (0.5% of total)

ival-acos: 61.0ms (0.3% of total)

ival-atan: 60.0ms (0.3% of total)

ival-neg: 56.0ms (0.3% of total)

ival-tan: 25.0ms (0.1% of total)

ival-pi: 20.0ms (0.1% of total)

ival-true: 19.0ms (0.1% of total)

ival-log: 16.0ms (0.1% of total)

exact: 14.0ms (0.1% of total)

ival-hypot: 12.0ms (0.1% of total)

ival-assert: 10.0ms (0% of total)

ival-fabs: 6.0ms (0% of total)

ival-asin: 5.0ms (0% of total)

ival-log1p: 1.0ms (0% of total)

prune21.8s (4.4%)

Memory: 809.2MiB live, 33 187.6MiB allocated; 5.9s collecting garbage
Counts: 106 731 → 5 743
Compiler: Compiled 915 501 to 360 228 computations (60.7% saved)

explain20.3s (4.1%)

Memory

271.9MiB live, 27 485.5MiB allocated; 3.6s collecting garbage

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`#f`	sensitivity	1900	1
`+.f64`	`#f`	cancellation	1726	28
`sin.f64`	`#f`	sensitivity	1648	0
`sqrt.f64`	`#f`	oflow-rescue	1373	0
`-.f64`	`#f`	cancellation	953	6
`-.f64`	`#f`	nan-rescue	651	0
`log.f64`	`#f`	sensitivity	593	0
`/.f64`	`#f`	o/n	501	0
`/.f64`	`#f`	o/o	377	0
`/.f64`	`#f`	u/u	299	0
`*.f64`	`#f`	*no**	260	0
`sqrt.f64`	`#f`	uflow-rescue	152	0
`exp.f64`	`#f`	sensitivity	152	38
`/.f64`	`#f`	u/n	141	0
`/.f64`	`#f`	n/o	130	0
`*.f64`	`#f`	*nu**	88	0
`cbrt.f64`	`#f`	oflow-rescue	82	0
`/.f64`	`#f`	n/u	39	0
`*.f64`	`#f`	*ou**	36	0
`*.f64`	`#f`	*uo**	30	0
`cbrt.f64`	`#f`	uflow-rescue	27	0
`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)))))`	sensitivity	20	4
`pow.f64`	`#f`	uflow-rescue	9	0
`log.f64`	`#f`	oflow-rescue	7	0
`pow.f64`	`#f`	sensitivity	6	0
`asin.f64`	`(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))`	sensitivity	3	4

Confusion

	Predicted +	Predicted -
+	5800	89
-	1341	6082

Precision

0.8122111749054755

Recall

0.9848870776023094

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5800	48	41
-	1341	30	6052

Precision?

0.8100844992381216

Recall?

0.9930378672100526

Freqs

test

number	freq
0	6171
1	4720
2	1594
3	367
4	224
5	154
6	55
7	19
8	7
9	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	1
-	3	0	6

Precision?

0.9333333333333333

Recall?

0.9767441860465116

Samples

3.8s	7 778×	1	valid
2.5s	16 506×	0	valid
2.1s	2 036×	2	valid
589.0ms	302×	3	valid
10.0ms	2×	4	valid

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 (15.6% of total)

ival-mult: 1.1s (14.7% of total)

ival-cos: 791.0ms (10.9% of total)

adjust: 688.0ms (9.5% of total)

ival-div: 604.0ms (8.3% of total)

ival-pow2: 510.0ms (7% of total)

ival-sub: 400.0ms (5.5% of total)

ival-add: 360.0ms (5% of total)

ival-sinu: 304.0ms (4.2% of total)

ival-cosu: 285.0ms (3.9% of total)

ival-log: 225.0ms (3.1% of total)

ival-exp: 222.0ms (3.1% of total)

ival-sqrt: 179.0ms (2.5% of total)

ival-acos: 70.0ms (1% of total)

ival-neg: 57.0ms (0.8% of total)

ival-tan: 51.0ms (0.7% of total)

ival-fabs: 51.0ms (0.7% of total)

ival-hypot: 48.0ms (0.7% of total)

ival-atan2: 44.0ms (0.6% of total)

ival-pow: 37.0ms (0.5% of total)

ival-atan: 25.0ms (0.3% of total)

ival-true: 24.0ms (0.3% of total)

ival-pi: 20.0ms (0.3% of total)

exact: 19.0ms (0.3% of total)

ival-cbrt: 17.0ms (0.2% of total)

ival-assert: 12.0ms (0.2% of total)

ival-asin: 7.0ms (0.1% of total)

ival-log1p: 5.0ms (0.1% of total)

analyze20.2s (4.1%)

Memory

-50.0MiB live, 22 328.8MiB allocated; 8.6s collecting garbage

Algorithm

53×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

preprocess13.7s (2.8%)

Memory

478.3MiB live, 16 557.2MiB allocated; 2.7s collecting garbage

Stop Event

104×	iter limit
92×	node limit
12×	saturated

Compiler

Compiled 102 915 to 21 277 computations (79.3% saved)

derivations12.9s (2.6%)

Memory

67.4MiB live, 11 910.9MiB allocated; 2.0s collecting garbage

Stop Event

41×	fuel
11×	done

Compiler

Compiled 36 359 to 5 280 computations (85.5% saved)

simplify2.8s (0.6%)

Memory

11.9MiB live, 3 179.9MiB allocated; 509ms collecting garbage

Stop Event

47×	node limit
5×	saturated

start3.0ms (0%)

Memory: 7.0MiB live, 6.9MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

sample3.8min (46%)

rewrite53.3s (10.9%)

regimes36.1s (7.4%)

series33.6s (6.9%)

eval25.9s (5.3%)

bsearch23.7s (4.8%)

prune21.8s (4.4%)

explain20.3s (4.1%)

analyze20.2s (4.1%)

preprocess13.7s (2.8%)

derivations12.9s (2.6%)

simplify2.8s (0.6%)

start3.0ms (0%)

end0.0ms (0%)

Profiling