Metrics for Herbie run

Date:	Monday, December 16th, 2024
Commit:	e7208c1b on no-localize
Hostname:	nightly with Racket 8.10
Seed:	2024351
Parameters:	256 points for 4 iterations
Flags:	`localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs` default
Memory:	818 793.8 MB

sample4.0min (36.3%)

Memory

1 684.0MiB live, 271 845.2MiB allocated; 1.2min collecting garbage

Samples

1.0min	120 165×	1	valid
51.9s	17 615×	5	exit
45.7s	281 448×	0	valid
18.1s	24 559×	2	valid
8.1s	3 122×	3	valid
6.7s	34 413×	0	exit
4.8s	12 421×	1	invalid
3.4s	19 540×	0	invalid
632.0ms	857×	2	invalid
287.0ms	18×	4	valid
23.0ms	34×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.9min

ival-pow: 43.9s (24.9% of total)

ival-mult: 19.7s (11.2% of total)

adjust: 17.8s (10.1% of total)

ival-cos: 12.1s (6.9% of total)

ival-div: 10.8s (6.1% of total)

ival-pow2: 9.7s (5.5% of total)

ival-sin: 9.4s (5.3% of total)

ival-sub: 7.9s (4.5% of total)

ival-add: 6.2s (3.5% of total)

ival-exp: 5.7s (3.3% of total)

ival-sinu: 5.6s (3.2% of total)

ival-cosu: 5.4s (3.1% of total)

ival-log: 4.7s (2.7% of total)

ival-sqrt: 4.2s (2.4% of total)

const: 2.3s (1.3% of total)

ival-neg: 2.1s (1.2% of total)

ival-<: 2.0s (1.2% of total)

ival-log1p: 1.5s (0.9% of total)

ival-atan2: 943.0ms (0.5% of total)

ival-tan: 784.0ms (0.4% of total)

ival-hypot: 709.0ms (0.4% of total)

ival-acos: 406.0ms (0.2% of total)

exact: 377.0ms (0.2% of total)

ival-atan: 344.0ms (0.2% of total)

ival-and: 344.0ms (0.2% of total)

ival-cbrt: 324.0ms (0.2% of total)

ival-true: 280.0ms (0.2% of total)

ival-assert: 204.0ms (0.1% of total)

ival-fabs: 178.0ms (0.1% of total)

ival-<=: 161.0ms (0.1% of total)

ival-pi: 144.0ms (0.1% of total)

ival-asin: 142.0ms (0.1% of total)

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

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

Bogosity

eval1.0min (9.4%)

Memory: 1 052.7MiB live, 87 649.4MiB allocated; 22.9s collecting garbage
Compiler: Compiled 25 021 221 to 1 366 203 computations (94.5% saved)

prune60.0s (9.1%)

Memory: -471.0MiB live, 106 015.5MiB allocated; 14.0s collecting garbage
Counts: 256 042 → 8 119
Compiler: Compiled 1 358 599 to 507 647 computations (62.6% saved)

derivations53.2s (8.1%)

Memory

370.9MiB live, 47 601.1MiB allocated; 8.2s collecting garbage

Stop Event

442×	iter limit
287×	node limit
45×	fuel
7×	done
3×	saturated
3×	unsound

Compiler

Compiled 50 887 to 6 335 computations (87.6% saved)

simplify50.8s (7.7%)

Memory

452.4MiB live, 60 910.3MiB allocated; 10.6s collecting garbage

Algorithm

255×	egg-herbie

Stop Event

232×	node limit
205×	iter limit
23×	saturated

Counts

36 271 → 35 714

rewrite49.2s (7.5%)

Memory

45.0MiB live, 56 184.7MiB allocated; 13.7s collecting garbage

Stop Event

427×	iter limit
193×	node limit
6×	unsound
4×	saturated

Counts

7 784 → 153 729

regimes44.4s (6.7%)

Memory

393.0MiB live, 54 892.4MiB allocated; 9.9s collecting garbage

Counts

24 876 → 942

Calls

155 calls:

3.4s	phi2
2.7s	phi1
2.2s	lambda1
2.1s	a
2.1s	lambda2

Compiler

Compiled 21 251 to 16 389 computations (22.9% saved)

series31.2s (4.7%)

Memory

765.0MiB live, 44 252.5MiB allocated; 7.1s collecting garbage

Counts

7 784 → 36 271

Calls

1623 calls:

Time	Variable		Point	Expression
560.0ms	b	@	inf	((/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))))) (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))))) (* (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2))))) (* (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) (* (* b a) (* b (neg a)))) (* 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2))) 2 (/ (* 4 (* (* b a) (* b (neg a)))) (pow (* x-scale y-scale) 2)) (* 4 (* (* b a) (* b (neg a)))) 4 (* (* b a) (* b (neg a))) (* b a) b a (* b (neg a)) (neg a) (pow (* x-scale y-scale) 2) (* x-scale y-scale) x-scale y-scale (+ (+ (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) (sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))) (+ (/ (/ (+ (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))
231.0ms	t	@	inf	((exp (- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg s))))))))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg t))))))))) c_n)))) (- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg s))))))))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg t))))))))) c_n))) (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg s))))))))) c_n)) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (exp (neg s)) (neg s) s c_p (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg s))))))))) c_n) (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg s))))))))) (neg (exp (neg (log (+ 1 (exp (neg s))))))) (exp (neg (log (+ 1 (exp (neg s)))))) c_n (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg t))))))))) c_n)) (neg (log (+ 1 (exp (neg t))))) (log (+ 1 (exp (neg t)))) (exp (neg t)) (neg t) t (* (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg t))))))))) c_n) (log (+ 1 (neg (exp (neg (log (+ 1 (exp (neg t))))))))) (neg (exp (neg (log (+ 1 (exp (neg t))))))) (exp (neg (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) 1 (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ 1 (+ (exp (neg t)) 1)) (+ (exp (neg t)) 1) (/ (* (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)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (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 (exp (neg t)))) c_p) (/ 1 (+ 1 (exp (neg t)))) (+ 1 (exp (neg t))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (+ (* (log (- 1 (/ 1 (+ (exp (neg t)) 1)))) c_n) 1) (log (- 1 (/ 1 (+ (exp (neg t)) 1)))))
174.0ms	angle	@	-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 (* y-scale (sqrt 8))) (sqrt (* 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)))))) (* 1/4 (* y-scale (sqrt 8))) 1/4 (* y-scale (sqrt 8)) y-scale (sqrt 8) 8 (sqrt (* 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2))))) (* 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)))) 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2))) (* a a) a (pow (sin (* 1/180 (* angle (PI)))) 2) (sin (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* b b) b (pow (cos (* 1/180 (* angle (PI)))) 2) (cos (* 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 (sqrt 2)) (sqrt 8))) (* 1/4 b) (* (* y-scale (sqrt 2)) (sqrt 8)) (* y-scale (sqrt 2)) (sqrt 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 (* x-scale (* y-scale (sqrt 8)))) (sqrt (/ (* 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)))) (* x-scale x-scale)))) (* 1/4 (* x-scale (* y-scale (sqrt 8)))) (* x-scale (* y-scale (sqrt 8))) x-scale (sqrt (/ (* 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)))) (* x-scale x-scale))) (/ (* 2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)))) (* x-scale x-scale)) (* x-scale x-scale) (/ (neg (sqrt (* (* (* 2 (/ (* 4 (* (* b a) (* b 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(pow (cos (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* y-scale y-scale))))))) (sqrt (- (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2))) (* 1/2 (/ (+ (* (* -2 (+ (* (* a a) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)))) (/ (+ (* (* a a) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* y-scale y-scale))) (* 4 (/ (* (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow (- (* b b) (* a a)) 2)) (* y-scale y-scale)))) (/ (+ (* (* a a) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* y-scale y-scale)))))) (* b (sqrt (- (pow (cos (* 1/180 (* angle (PI)))) 2) (* 1/2 (/ (* (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))))) (sqrt (- (pow (cos (* 1/180 (* angle (PI)))) 2) (* 1/2 (/ (* (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2)) (pow (sin (* 1/180 (* angle (PI)))) 2))))) (- (pow (cos (* 1/180 (* angle (PI)))) 2) (* 1/2 (/ (* (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))) (pow (cos (* 1/180 (* angle (PI)))) 2) (cos (* 1/180 (* angle (PI)))) (* 1/180 (* angle (PI))) 1/180 (* angle (PI)) angle (PI) (* 1/2 (/ (* (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2)) (pow (sin (* 1/180 (* angle (PI)))) 2))) 1/2 (/ (* (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2)) (* y-scale y-scale) (* (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) 2) (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow (sin (* 1/180 (* angle (PI)))) 2) (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 (* x-scale (* y-scale (sqrt 8)))) (sqrt (- (+ (/ (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* x-scale x-scale)) (/ (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale))) (sqrt (+ (* 4 (* (/ (pow b 4) (* x-scale x-scale)) (/ (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale)))) (pow (- (/ (* (* b b) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* x-scale x-scale)) (/ (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* y-scale y-scale))) 2)))))) (* 1/4 (* (* x-scale (sqrt 8)) (sqrt (+ (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* -1/2 (* (/ (* x-scale x-scale) (* b b)) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2)))))))) (* (* x-scale (sqrt 8)) (sqrt (+ (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* -1/2 (* (/ (* x-scale x-scale) (* b b)) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2))))))) (* x-scale (sqrt 8)) (sqrt (+ (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* -1/2 (* (/ (* x-scale x-scale) (* b b)) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2)))))) (+ (* (* b b) (pow (sin (* 1/180 (* angle (PI)))) 2)) (* -1/2 (* (/ (* x-scale x-scale) (* b b)) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2))))) (* b b) (* -1/2 (* (/ (* x-scale x-scale) (* b b)) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2)))) -1/2 (* (/ (* x-scale x-scale) (* b b)) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2))) (/ (* x-scale x-scale) (* b b)) (* x-scale x-scale) (/ (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) (pow (cos (* 1/180 (* angle (PI)))) 2)) (+ (* -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)))) -2 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)) (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (pow b 4) 4 (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow (cos (* 1/180 (* angle (PI)))) 2) 1 (* 4 (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale))) (/ (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))) (* x-scale x-scale)) (* (pow b 4) (* (pow (cos (* 1/180 (* angle (PI)))) 2) (pow (sin (* 1/180 (* angle (PI)))) 2))))

explain22.4s (3.4%)

Memory

-83.9MiB live, 32 741.6MiB allocated; 5.1s collecting garbage

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`#f`	sensitivity	1903	0
`+.f64`	`#f`	cancellation	1731	30
`sin.f64`	`#f`	sensitivity	1652	3
`sqrt.f64`	`#f`	oflow-rescue	1370	0
`-.f64`	`#f`	cancellation	1010	8
`-.f64`	`#f`	nan-rescue	656	0
`log.f64`	`#f`	sensitivity	602	2
`/.f64`	`#f`	o/n	498	0
`/.f64`	`#f`	o/o	375	0
`/.f64`	`#f`	u/u	289	0
`*.f64`	`#f`	*no**	237	0
`exp.f64`	`#f`	sensitivity	168	26
`/.f64`	`#f`	u/n	152	0
`sqrt.f64`	`#f`	uflow-rescue	137	0
`/.f64`	`#f`	n/o	113	0
`cbrt.f64`	`#f`	oflow-rescue	100	0
`*.f64`	`#f`	*nu**	95	0
`/.f64`	`#f`	n/u	41	0
`cbrt.f64`	`#f`	uflow-rescue	41	0
`*.f64`	`#f`	*ou**	39	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	19	5
`*.f64`	`#f`	*uo**	19	0
`pow.f64`	`#f`	uflow-rescue	10	0
`pow.f64`	`#f`	sensitivity	7	1
`log.f64`	`#f`	oflow-rescue	5	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	69
↳	`(exp.f64 b)`	underflow	60

Confusion

	Predicted +	Predicted -
+	5772	71
-	1376	6093

Precision

0.8074986010072748

Recall

0.9878487078555537

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5772	44	27
-	1376	23	6070

Precision?

0.8060984060984061

Recall?

0.9953790860859147

Freqs

test

number	freq
0	6164
1	4725
2	1595
3	357
4	230
5	137
6	69
7	23
8	5
9	5
10	2

Total Confusion?

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

Precision?

0.9347826086956522

Recall?

1.0

Samples

4.0s	7 830×	1	valid
2.6s	16 456×	0	valid
2.2s	2 062×	2	valid
680.0ms	276×	3	valid

Compiler

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

Precisions

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

ival-sin: 1.2s (15.7% of total)

ival-mult: 1.0s (13.8% of total)

ival-cos: 934.0ms (12.3% of total)

adjust: 791.0ms (10.4% of total)

ival-div: 658.0ms (8.6% of total)

ival-pow2: 481.0ms (6.3% of total)

ival-sub: 388.0ms (5.1% of total)

ival-cosu: 326.0ms (4.3% of total)

ival-sinu: 310.0ms (4.1% of total)

ival-add: 253.0ms (3.3% of total)

ival-sqrt: 246.0ms (3.2% of total)

ival-exp: 245.0ms (3.2% of total)

ival-log: 220.0ms (2.9% of total)

ival-neg: 84.0ms (1.1% of total)

ival-acos: 81.0ms (1.1% of total)

ival-pi: 63.0ms (0.8% of total)

ival-tan: 53.0ms (0.7% of total)

ival-atan2: 42.0ms (0.6% of total)

ival-hypot: 36.0ms (0.5% of total)

ival-atan: 26.0ms (0.3% of total)

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

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

ival-cbrt: 19.0ms (0.2% of total)

exact: 19.0ms (0.2% of total)

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

ival-assert: 11.0ms (0.1% of total)

ival-fabs: 11.0ms (0.1% of total)

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

analyze19.2s (2.9%)

Memory

109.4MiB live, 21 936.2MiB allocated; 7.2s 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)

preprocess14.9s (2.3%)

Memory

-154.5MiB live, 17 060.6MiB allocated; 5.0s collecting garbage

Algorithm

52×	egg-herbie

Stop Event

104×	iter limit
64×	node limit
40×	saturated

Compiler

Compiled 144 581 to 24 913 computations (82.8% saved)

bsearch12.5s (1.9%)

Memory

240.9MiB live, 17 697.4MiB allocated; 3.7s collecting garbage

Algorithm

328×	binary-search
101×	left-value

Stop Event

309×	narrow-enough
19×	predicate-same

Samples

6.6s	7 599×	1	valid
2.0s	13 058×	0	valid
832.0ms	1 029×	2	valid
178.0ms	74×	3	valid
159.0ms	533×	0	invalid
4.0ms	3×	5	exit

Compiler

Compiled 260 147 to 151 047 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.7s

ival-cos: 1.9s (21.3% of total)

ival-sin: 1.7s (19.9% of total)

ival-mult: 1.1s (12.8% of total)

adjust: 917.0ms (10.5% of total)

ival-add: 707.0ms (8.1% of total)

ival-div: 433.0ms (5% of total)

ival-pow2: 413.0ms (4.7% of total)

ival-sub: 310.0ms (3.5% of total)

ival-cosu: 254.0ms (2.9% of total)

ival-sinu: 236.0ms (2.7% of total)

ival-atan2: 176.0ms (2% of total)

ival-sqrt: 161.0ms (1.8% of total)

ival-exp: 101.0ms (1.2% of total)

ival-acos: 86.0ms (1% of total)

ival-atan: 68.0ms (0.8% of total)

ival-log: 26.0ms (0.3% of total)

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

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

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

ival-pi: 13.0ms (0.1% of total)

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

exact: 10.0ms (0.1% of total)

ival-assert: 9.0ms (0.1% of total)

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

ival-pow: 6.0ms (0.1% of total)

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

ival-log1p: 3.0ms (0% of total)

start3.0ms (0%)

Memory: 6.3MiB live, 6.2MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory: 0.9MiB live, 0.8MiB allocated; 0ms collecting garbage

sample4.0min (36.3%)

eval1.0min (9.4%)

prune60.0s (9.1%)

derivations53.2s (8.1%)

simplify50.8s (7.7%)

rewrite49.2s (7.5%)

regimes44.4s (6.7%)

series31.2s (4.7%)

explain22.4s (3.4%)

analyze19.2s (2.9%)

preprocess14.9s (2.3%)

bsearch12.5s (1.9%)

start3.0ms (0%)

end0.0ms (0%)

Profiling