Metrics for Herbie run

Date:	Saturday, April 5th, 2025
Commit:	f7a7cb35 on main
Seed:	2025095
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:	564 816.7 MB

sample2.8min (40.3%)

Memory

2 391.2MiB live, 216 201.0MiB allocated; 47.3s collecting garbage

Samples

45.5s	119 276×	1	valid
33.6s	281 691×	0	valid
17.3s	3 818×	4	exit
14.8s	25 093×	2	valid
8.8s	11 256×	5	exit
7.3s	3 228×	3	valid
5.7s	34 522×	0	exit
2.3s	12 190×	1	invalid
2.1s	19 551×	0	invalid
356.0ms	2 699×	1	exit
350.0ms	899×	2	invalid
78.0ms	24×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0min

ival-pow: 21.2s (18.1% of total)

ival-mult!: 13.2s (11.3% of total)

ival-cos: 11.7s (10% of total)

adjust: 10.8s (9.2% of total)

ival-div!: 8.1s (6.9% of total)

ival-sin: 8.1s (6.9% of total)

ival-pow2: 7.5s (6.4% of total)

ival-sinu: 6.0s (5.1% of total)

ival-exp: 5.4s (4.6% of total)

ival-cosu: 4.9s (4.2% of total)

ival-add!: 4.0s (3.4% of total)

ival-log: 3.8s (3.3% of total)

ival-sqrt: 3.8s (3.2% of total)

ival-sub!: 3.1s (2.7% of total)

ival-neg: 1.9s (1.6% of total)

ival-atan2: 765.0ms (0.7% of total)

ival-hypot: 697.0ms (0.6% of total)

ival-tan: 646.0ms (0.6% of total)

ival-acos: 392.0ms (0.3% of total)

ival-atan: 298.0ms (0.3% of total)

ival-cbrt: 272.0ms (0.2% of total)

ival-fabs: 219.0ms (0.2% of total)

ival-log1p: 170.0ms (0.1% of total)

ival-asin: 148.0ms (0.1% of total)

ival-<: 114.0ms (0.1% of total)

ival-and: 48.0ms (0% of total)

ival-assert: 7.0ms (0% of total)

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

ival-==: 4.0ms (0% of total)

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

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

Bogosity

rewrite55.2s (13.2%)

Memory

574.4MiB live, 67 915.5MiB allocated; 14.9s collecting garbage

Stop Event

454×	iter-limit
190×	node-limit
5×	unsound
4×	saturated

Counts

54 128 → 81 061

regimes44.6s (10.7%)

Memory

393.6MiB live, 66 788.6MiB allocated; 14.1s collecting garbage

Counts

22 107 → 863

Calls

155 calls:

3.8s	lambda2
3.4s	phi2
3.4s	phi1
3.0s	lambda1
2.3s	a

Compiler

Compiled 18 803 to 15 799 computations (16% saved)

series30.0s (7.2%)

Memory

1 082.0MiB live, 44 591.1MiB allocated; 8.1s collecting garbage

Counts

7 645 → 46 483

Calls

1614 calls:

Time	Variable		Point	Expression
894.0ms	s	@	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 (pow (+ (exp (neg s)) 1) -1)) c_n) (pow (- 1 (pow (+ (exp (neg t)) 1) -1)) c_n)) (pow (- 1 (pow (+ (exp (neg s)) 1) -1)) c_n) (- 1 (pow (+ (exp (neg s)) 1) -1)) 1 (pow (+ (exp (neg s)) 1) -1) (+ (exp (neg s)) 1) (exp (neg s)) (neg s) s -1 c_n (pow (- 1 (pow (+ (exp (neg t)) 1) -1)) c_n) (- 1 (pow (+ (exp (neg t)) 1) -1)) (pow (+ (exp (neg t)) 1) -1) (+ (exp (neg t)) 1) (exp (neg t)) (neg t) t (/ (* (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))) (exp (- (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (neg (log (+ 1 (exp (neg t))))) c_p))) (- (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (neg (log (+ 1 (exp (neg t))))) c_p)) (* (neg (log (+ 1 (exp (neg s))))) c_p) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) c_p (* (neg (log (+ 1 (exp (neg t))))) c_p) (neg (log (+ 1 (exp (neg t))))) (log (+ 1 (exp (neg t)))) (/ (* (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 1/2 (+ c_p c_n)) 1/2 (+ c_p 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))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg t))))) (/ (* (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 (exp (neg s))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (- 1 (/ 1 (+ 1 (exp (neg s))))) (* (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
370.0ms	angle	@	inf	((* 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))) 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))) (/ (- (- (/ (/ (+ (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 (- (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)) (* 90 (* (/ x-scale angle) (/ (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (* (PI) (- (* b b) (* a a)))))) 90 (* (/ x-scale angle) (/ (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (* (PI) (- (* b b) (* a a))))) (/ x-scale angle) (/ (* y-scale (- (* 2 (/ (* a a) (* y-scale y-scale))) (* 2 (/ (* b b) (* x-scale x-scale))))) (* (PI) (- (* b b) (* a a)))) (* 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))) (/ (* a a) (* y-scale y-scale)) (* y-scale y-scale) (* 2 (/ (* b b) (* x-scale x-scale))) (/ (* b b) (* x-scale x-scale)) (* x-scale x-scale) (* (PI) (- (* 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 (* (/ 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))))))) (* (/ 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)))))) (/ 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 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(* 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)))) (- (/ (exp (* (log (cos (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (* 1/2 (/ (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))) (pow (sin (* 1/180 (* angle (PI)))) 2)))) (/ (exp (* (log (cos (* 1/180 (* angle (PI))))) 2)) (* y-scale y-scale)) (exp (* (log (cos (* 1/180 (* angle (PI))))) 2)) (* (log (cos (* 1/180 (* angle (PI))))) 2) (log (cos (* 1/180 (* angle (PI))))) (* 1/2 (/ (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))) (pow (sin (* 1/180 (* angle (PI)))) 2))) (/ (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))) (pow (sin (* 1/180 (* angle (PI)))) 2)) (+ (* -2 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale))) (* 4 (/ (pow (* (cos (* 1/180 (* angle (PI)))) (sin (* 1/180 (* angle (PI))))) 2) (* y-scale y-scale)))))
139.0ms	t	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ eh (* ew (tan t)))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ eh (* ew (tan t))))))) (* ew (sin t)) ew (sin t) t (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)) (/ eh ew) eh (tan t) (* (* eh (cos t)) (sin (atan (/ eh (* ew (tan t)))))) (* eh (cos t)) (cos t) (sin (atan (/ eh (* ew (tan t))))) (atan (/ eh (* ew (tan t)))) (/ eh (* ew (tan t))) (* ew (tan 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 (/ eh (sin t)) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (tanh (asinh (/ (* (cos t) eh) (* ew (sin t))))) eh) (tanh (asinh (/ (* (cos t) eh) (* ew (sin t))))) (asinh (/ (* (cos t) eh) (* ew (sin t)))) (/ (* (cos t) eh) (* ew (sin t))) (* (cos t) eh) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ eh (* ew (tan t)))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ eh (* ew (tan t))))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (cos (atan (/ (/ eh ew) (tan t)))) (atan (/ (/ eh ew) (tan t))) (/ (/ eh ew) (tan t)))

prune25.5s (6.1%)

Memory: -82.6MiB live, 46 284.6MiB allocated; 5.5s collecting garbage
Counts: 112 109 → 6 350
Compiler: Compiled 1 079 754 to 408 879 computations (62.1% saved)

eval24.6s (5.9%)

Memory: -54.6MiB live, 35 704.6MiB allocated; 11.8s collecting garbage
Compiler: Compiled 13 032 281 to 585 852 computations (95.5% saved)

explain20.7s (4.9%)

Memory

-789.9MiB live, 28 259.6MiB allocated; 6.9s collecting garbage

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`#f`	sensitivity	1920	1
`+.f64`	`#f`	cancellation	1701	33
`sin.f64`	`#f`	sensitivity	1658	2
`sqrt.f64`	`#f`	oflow-rescue	1395	0
`-.f64`	`#f`	cancellation	891	15
`-.f64`	`#f`	nan-rescue	640	0
`log.f64`	`#f`	sensitivity	584	1
`/.f64`	`#f`	o/n	461	0
`/.f64`	`#f`	o/o	374	0
`/.f64`	`#f`	u/u	268	0
`*.f64`	`#f`	*no**	251	0
`exp.f64`	`#f`	sensitivity	163	26
`/.f64`	`#f`	u/n	155	0
`sqrt.f64`	`#f`	uflow-rescue	139	0
`/.f64`	`#f`	n/o	125	0
`cbrt.f64`	`#f`	oflow-rescue	92	0
`*.f64`	`#f`	*nu**	81	0
`cbrt.f64`	`#f`	uflow-rescue	48	0
`/.f64`	`#f`	n/u	46	0
`*.f64`	`#f`	*ou**	29	0
`*.f64`	`#f`	*uo**	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	21	6
`pow.f64`	`#f`	uflow-rescue	8	0
`pow.f64`	`#f`	sensitivity	7	0
`log.f64`	`#f`	oflow-rescue	5	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	3
↳	`(exp.f64 a)`	underflow	75
↳	`(exp.f64 b)`	underflow	64
`asin.f64`	`(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	5696	66
-	1368	6182

Precision

0.8063420158550396

Recall

0.988545643873655

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5696	38	28
-	1368	29	6153

Precision?

0.8040947973636237

Recall?

0.9951405761888233

Freqs

test

number	freq
0	6248
1	4697
2	1572
3	312
4	232
5	160
6	63
7	19
8	3
9	6

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	1
-	2	1	6

Precision?

0.9333333333333333

Recall?

0.9767441860465116

Samples

3.1s	7 534×	1	valid
2.8s	2 028×	2	valid
2.2s	16 726×	0	valid
858.0ms	336×	3	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-pow2: 1.4s (18.9% of total)

ival-sin: 1.1s (15.5% of total)

ival-cos: 766.0ms (10.6% of total)

ival-mult!: 746.0ms (10.3% of total)

ival-cosu: 697.0ms (9.6% of total)

adjust: 473.0ms (6.5% of total)

ival-div!: 394.0ms (5.4% of total)

ival-sinu: 294.0ms (4.1% of total)

ival-exp: 268.0ms (3.7% of total)

ival-log: 263.0ms (3.6% of total)

ival-sqrt: 212.0ms (2.9% of total)

ival-sub!: 141.0ms (1.9% of total)

ival-add!: 120.0ms (1.7% of total)

ival-tan: 67.0ms (0.9% of total)

ival-atan2: 67.0ms (0.9% of total)

ival-neg: 61.0ms (0.8% of total)

ival-hypot: 35.0ms (0.5% of total)

ival-pow: 32.0ms (0.4% of total)

ival-fabs: 29.0ms (0.4% of total)

ival-atan: 28.0ms (0.4% of total)

ival-acos: 21.0ms (0.3% of total)

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

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

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

analyze15.5s (3.7%)

Memory

-77.9MiB live, 20 275.9MiB allocated; 5.3s 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)

derivations14.8s (3.5%)

Memory

-256.2MiB live, 15 508.5MiB allocated; 1.8s collecting garbage

Stop Event

42×	fuel
10×	done

Compiler

Compiled 45 789 to 5 917 computations (87.1% saved)

bsearch10.7s (2.6%)

Memory

-297.6MiB live, 11 933.3MiB allocated; 4.5s collecting garbage

Algorithm

292×	binary-search
87×	left-value

Stop Event

280×	narrow-enough
11×	predicate-same
1×	predicate-failed

Samples

5.5s	7 218×	1	valid
2.3s	11 797×	0	valid
489.0ms	1 015×	2	valid
92.0ms	66×	3	valid
60.0ms	847×	0	invalid
16.0ms	129×	0	exit

Compiler

Compiled 214 731 to 128 412 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.6s

ival-cos: 2.6s (34.1% of total)

ival-sin: 1.6s (21.5% of total)

ival-mult!: 743.0ms (9.7% of total)

ival-atan: 440.0ms (5.8% of total)

adjust: 437.0ms (5.7% of total)

ival-pow2: 378.0ms (4.9% of total)

ival-atan2: 225.0ms (2.9% of total)

ival-div!: 217.0ms (2.8% of total)

ival-sub!: 198.0ms (2.6% of total)

ival-sqrt: 160.0ms (2.1% of total)

ival-sinu: 144.0ms (1.9% of total)

ival-cosu: 138.0ms (1.8% of total)

ival-add!: 92.0ms (1.2% of total)

ival-acos: 64.0ms (0.8% of total)

ival-exp: 40.0ms (0.5% of total)

ival-neg: 33.0ms (0.4% of total)

ival-pow: 23.0ms (0.3% of total)

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

ival-tan: 15.0ms (0.2% of total)

ival-asin: 14.0ms (0.2% of total)

ival-log: 14.0ms (0.2% of total)

ival-fabs: 3.0ms (0% of total)

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

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

preprocess8.3s (2%)

Memory

-115.1MiB live, 11 346.1MiB allocated; 1.6s collecting garbage

Stop Event

46×	node-limit
6×	saturated

Compiler

Compiled 264 290 to 68 894 computations (73.9% saved)

start3.0ms (0%)

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

end0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

sample2.8min (40.3%)

rewrite55.2s (13.2%)

regimes44.6s (10.7%)

series30.0s (7.2%)

prune25.5s (6.1%)

eval24.6s (5.9%)

explain20.7s (4.9%)

analyze15.5s (3.7%)

derivations14.8s (3.5%)

bsearch10.7s (2.6%)

preprocess8.3s (2%)

start3.0ms (0%)

end0.0ms (0%)

Profiling