Metrics for Herbie run

Date:	Saturday, May 3rd, 2025
Commit:	1cbc6d8b on time-nightly
Seed:	2025123
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:	620 705.1 MB

sample3.7min (41.2%)

Memory

4 616.2MiB live, 242 605.1MiB allocated; 1.8min collecting garbage

Samples

2.1min	16 700×	3	exit
43.8s	268 372×	0	valid
5.8s	28 948×	1	valid
2.8s	10 934×	0	invalid
746.0ms	2 495×	2	valid
161.0ms	1 637×	1	exit
140.0ms	730×	1	invalid
70.0ms	5×	5	exit
34.0ms	3×	4	exit
1.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6min

ival-mult!: 27.0s (17% of total)

ival-pow2: 25.7s (16.2% of total)

adjust: 20.1s (12.6% of total)

ival-exp: 18.8s (11.8% of total)

ival-log: 17.0s (10.7% of total)

ival-div!: 9.3s (5.8% of total)

ival-sub!: 7.9s (5% of total)

ival-add!: 7.8s (4.9% of total)

ival-sqrt: 6.5s (4.1% of total)

ival-neg: 5.7s (3.6% of total)

ival-sin: 2.8s (1.8% of total)

ival-fmax: 2.3s (1.4% of total)

ival-fabs: 1.6s (1% of total)

ival-fmin: 979.0ms (0.6% of total)

ival-floor: 797.0ms (0.5% of total)

ival-cos: 769.0ms (0.5% of total)

ival-<=: 619.0ms (0.4% of total)

ival-sinu: 559.0ms (0.4% of total)

ival-cosu: 506.0ms (0.3% of total)

ival-expm1: 466.0ms (0.3% of total)

ival-if: 311.0ms (0.2% of total)

ival-tan: 306.0ms (0.2% of total)

ival-and: 297.0ms (0.2% of total)

ival-asin: 235.0ms (0.1% of total)

ival-log2: 234.0ms (0.1% of total)

ival-log1p: 190.0ms (0.1% of total)

ival-atan: 85.0ms (0.1% of total)

ival-sinh: 82.0ms (0.1% of total)

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

ival->=: 44.0ms (0% of total)

ival-assert: 31.0ms (0% of total)

ival-<: 30.0ms (0% of total)

const: 2.0ms (0% of total)

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

Bogosity

series2.8min (31.6%)

Memory

4 076.1MiB live, 197 338.6MiB allocated; 1.3min collecting garbage

Counts

5 965 → 25 910

Calls

1488 calls:

Time	Variable		Point	Expression
992.0ms	s	@	-inf	((* (neg s) (log (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1)))))) (neg s) s (log (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1))))) (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1)))) (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) 1 (+ (exp (/ (neg (PI)) s)) 1) (exp (/ (neg (PI)) s)) (/ (neg (PI)) s) (neg (PI)) (PI) (/ 1 (+ (exp (/ (PI) s)) 1)) (+ (exp (/ (PI) s)) 1) (exp (/ (PI) s)) (/ (PI) s) u -3 (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1)) (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1) (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) (* (/ (+ (* (* (PI) 1/2) u) (* -1/4 (PI))) s) -4) (/ (+ (* (* (PI) 1/2) u) (* -1/4 (PI))) s) (+ (* (* (PI) 1/2) u) (* -1/4 (PI))) (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))) (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))) -1/4 (/ (PI) u) (* 1/2 (PI)) 1/2 -4 (* (neg s) (log (- (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1))) (log (- (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1)) (- (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) (/ 1 (+ (exp (/ (PI) s)) 1)) (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) (* (- (/ 1 (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (- (/ 1 (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) (/ 1 (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1)) (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1) (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s)))
801.0ms	maxCos	@	inf	((+ (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (* 2 (* (sin (* (PI) uy)) (sin (+ (* (PI) uy) (/ (PI) 2))))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (* (- 1 ux) maxCos) ux) zi)) (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (* 2 (* (sin (* (PI) uy)) (sin (+ (* (PI) uy) (/ (PI) 2))))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) uy 2 (PI) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux)))) (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))) 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux)) (* (* (- 1 ux) maxCos) ux) (* (- 1 ux) maxCos) (- 1 ux) ux maxCos xi (* (* (* 2 (* (sin (* (PI) uy)) (sin (+ (* (PI) uy) (/ (PI) 2))))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi) (* (* 2 (* (sin (* (PI) uy)) (sin (+ (* (PI) uy) (/ (PI) 2))))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) (* 2 (* (sin (* (PI) uy)) (sin (+ (* (PI) uy) (/ (PI) 2))))) (* (sin (* (PI) uy)) (sin (+ (* (PI) uy) (/ (PI) 2)))) (sin (* (PI) uy)) (* (PI) uy) (sin (+ (* (PI) uy) (/ (PI) 2))) (+ (* (PI) uy) (/ (PI) 2)) (/ (PI) 2) yi (* (* (* (- 1 ux) maxCos) ux) zi) zi (+ (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (* (- 1 ux) maxCos) ux) zi)) (* (* (* (- 1 ux) zi) ux) maxCos) (* (* (- 1 ux) zi) ux) (* (- 1 ux) zi) (+ (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (* (- 1 ux) maxCos) ux) zi)) (+ (* (* maxCos ux) (* (- 1 ux) zi)) (* (* (cos (* (PI) (+ uy uy))) xi) (sqrt (- 1 (* (* (* (- 1 ux) (- 1 ux)) (* ux ux)) (* maxCos maxCos)))))) (+ (* maxCos (* ux zi)) (* xi (cos (* 2 (* uy (PI)))))) (* ux zi) (* xi (cos (* 2 (* uy (PI))))) (cos (* 2 (* uy (PI)))) (* 2 (* uy (PI))) (* uy (PI)) (+ (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (* (- 1 ux) maxCos) ux) zi)) (+ (* (* maxCos ux) (* (- 1 ux) zi)) (+ (* (cos (* (PI) (+ uy uy))) xi) (* (sin (* (PI) (+ uy uy))) yi))) (* maxCos ux) (* (- 1 ux) zi) (+ (* (cos (* (PI) (+ uy uy))) xi) (* (sin (* (PI) (+ uy uy))) yi)) (cos (* (PI) (+ uy uy))) (* (PI) (+ uy uy)) (+ uy uy) (* (sin (* (PI) (+ uy uy))) yi) (sin (* (PI) (+ uy uy))) (+ (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (* (- 1 ux) maxCos) ux) zi)) (+ (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi)) (* (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) xi) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) (cos (* (* uy 2) (PI))) (- 1 (* 2 (* (* uy uy) (* (PI) (PI))))) (* 2 (* (* uy uy) (* (PI) (PI)))) (* (* uy uy) (* (PI) (PI))) (* uy uy) (* (PI) (PI)) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux)))) (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))) (* (* maxCos maxCos) (- (/ 1 (* maxCos maxCos)) (* (* ux ux) (* (- 1 ux) (- 1 ux))))) (* maxCos maxCos) (- (/ 1 (* maxCos maxCos)) (* (* ux ux) (* (- 1 ux) (- 1 ux)))) (/ 1 (* maxCos maxCos)) (* (* ux ux) (* (- 1 ux) (- 1 ux))) (* ux ux) (* (- 1 ux) (- 1 ux)) (* (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) yi) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (* (* (- 1 ux) maxCos) ux) (* (* (- 1 ux) maxCos) ux))))) (sin (* (* uy 2) (PI))))
729.0ms	s	@	-inf	((* (neg s) (log (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1)))))) (neg s) s (log (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1))))) (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1)))) (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) 1 (+ (exp (/ (neg (PI)) s)) 1) (exp (/ (neg (PI)) s)) (/ (neg (PI)) s) (neg (PI)) (PI) (/ 1 (+ (exp (/ (PI) s)) 1)) (+ (exp (/ (PI) s)) 1) (exp (/ (PI) s)) (/ (PI) s) u -3 (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) 1))) (+ 1 (+ (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (pow (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) -2))) (+ (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (pow (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) -2)) (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (+ 1 (exp (* -1 (/ (PI) s)))) (exp (* -1 (/ (PI) s))) (* -1 (/ (PI) s)) -1 (/ 1 (+ 1 (exp (/ (PI) s)))) (+ 1 (exp (/ (PI) s))) (pow (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) -2) -2 (* (neg s) (log (/ (- (pow (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))) -3) 1) (+ (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1))))) (+ 1 (* (/ 1 (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) 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(PI) s)) 1))) u) (- (/ 1 (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) (/ 1 (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1)) (+ (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) 1) (+ (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s))) (cosh (/ (neg (PI)) s)) (sinh (/ (neg (PI)) s)))

rewrite36.2s (6.8%)

Memory

414.1MiB live, 39 450.3MiB allocated; 17.8s collecting garbage

Stop Event

314×	iter-limit
138×	node-limit
1×	unsound

Counts

31 875 → 65 033

regimes32.7s (6.1%)

Memory

835.6MiB live, 45 348.0MiB allocated; 16.0s collecting garbage

Counts

12 371 → 599

Calls

158 calls:

1.8s	cosTheta_i
1.2s	u2
929.0ms	u1
833.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
800.0ms	(*.f32 uy #s(literal 2 binary32))

Compiler

Compiled 20 758 to 20 156 computations (2.9% saved)

analyze27.4s (5.1%)

Memory

-273.4MiB live, 34 348.4MiB allocated; 9.6s collecting garbage

Algorithm

37×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	21%	79%	0%	0%	0%	0
25.7%	5.4%	15.6%	79%	0%	0%	0%	1
26.5%	5.6%	15.5%	79%	0%	0%	0%	2
26.5%	5.6%	15.4%	79%	0%	0%	0%	3
28.6%	6%	15%	79%	0%	0%	0%	4
40.9%	8.6%	12.4%	79%	0%	0%	0%	5
46.2%	9.7%	11.3%	79%	0%	0%	0%	6
53.2%	11%	9.7%	79%	0%	0.4%	0%	7
55.6%	11.5%	9.2%	79%	0%	0.4%	0%	8
60.6%	12.5%	8.1%	79%	0%	0.4%	0%	9
63.8%	13.1%	7.4%	79%	0%	0.5%	0%	10
66.1%	13.6%	7%	79%	0%	0.5%	0%	11
67.5%	13.9%	6.7%	79%	0%	0.5%	0%	12

Compiler

Compiled 20 293 to 1 873 computations (90.8% saved)

derivations18.6s (3.5%)

Memory

2.1MiB live, 16 865.5MiB allocated; 6.9s collecting garbage

Stop Event

32×	fuel
3×	done

Compiler

Compiled 12 013 to 4 545 computations (62.2% saved)

eval12.7s (2.4%)

Memory: 453.3MiB live, 18 551.4MiB allocated; 6.1s collecting garbage
Compiler: Compiled 2 674 081 to 448 736 computations (83.2% saved)

preprocess8.4s (1.6%)

Memory

-133.7MiB live, 11 652.5MiB allocated; 2.6s collecting garbage

Stop Event

36×	node-limit

Compiler

Compiled 97 136 to 54 135 computations (44.3% saved)

prune8.1s (1.5%)

Memory: 150.4MiB live, 13 039.3MiB allocated; 2.6s collecting garbage
Counts: 69 033 → 4 045
Compiler: Compiled 375 777 to 217 847 computations (42% saved)

bsearch1.1s (0.2%)

Memory

169.2MiB live, 1 462.5MiB allocated; 181ms collecting garbage

Algorithm

124×	binary-search
73×	left-value

Stop Event

122×	narrow-enough
2×	predicate-same

Samples

295.0ms	2 084×	0	valid
174.0ms	1 073×	1	valid
119.0ms	395×	2	valid
50.0ms	102×	1	invalid
6.0ms	123×	0	invalid

Compiler

Compiled 28 427 to 23 188 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 509.0ms

ival-exp: 98.0ms (19.3% of total)

ival-pow2: 78.0ms (15.3% of total)

ival-fmax: 52.0ms (10.2% of total)

ival-sub!: 46.0ms (9% of total)

ival-mult!: 46.0ms (9% of total)

adjust: 44.0ms (8.6% of total)

ival-sqrt: 34.0ms (6.7% of total)

ival-sin: 21.0ms (4.1% of total)

ival-cos: 19.0ms (3.7% of total)

ival-log1p: 18.0ms (3.5% of total)

ival-add!: 17.0ms (3.3% of total)

ival-fmin: 15.0ms (2.9% of total)

ival-fabs: 15.0ms (2.9% of total)

ival-neg: 6.0ms (1.2% of total)

start20.0ms (0%)

Memory: 43.0MiB live, 42.9MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

1 calls:

Time	Variable		Point	Expression
2.4min	u1	@	0	((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))) (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2)) (+ (PI) (PI)) (PI) u1 (* (PI) 1/2) 1/2 (/ alphay alphax) alphay alphax (* alphax alphax) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (* 2 (PI)) u1) (* 2 (PI)) 2 (* 1/2 (PI)) (* alphay alphay) u0 (- 1 u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ (* (/ u0 (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)))) 1/2) 1) (/ u0 (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)))) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0)) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay)) (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay))

Time

Variable

Point

Expression

2.4min

u1

((/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (* (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (+ (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (* alphax alphax)) (* (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))))) (/ 1 (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))))) (sqrt (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))))) (+ 1 (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (* (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2)) (+ (PI) (PI)) (PI) u1 (* (PI) 1/2) 1/2 (/ alphay alphax) alphay alphax (* alphax alphax) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (* 2 (PI)) u1) (* 2 (PI)) 2 (* 1/2 (PI)) (* alphay alphay) u0 (- 1 u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ (* (/ u0 (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)))) 1/2) 1) (/ u0 (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)))) (+ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax)) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (- 1 u0)) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) u0) (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay))) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay)) (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (/ (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay) alphay) (/ (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2) alphay))

sample3.7min (41.2%)

series2.8min (31.6%)

rewrite36.2s (6.8%)

regimes32.7s (6.1%)

analyze27.4s (5.1%)

derivations18.6s (3.5%)

eval12.7s (2.4%)

preprocess8.4s (1.6%)

prune8.1s (1.5%)

bsearch1.1s (0.2%)

start20.0ms (0%)

end0.0ms (0%)

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