Herbie run

Date:Friday, May 16th, 2025
Commit:7acd8706 on new-rules
Seed:2025136
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:581 467.1 MB

Time bar (total: 8.6min)

sample3.5min (41.1%)

Memory
4 239.4MiB live, 232 528.9MiB allocated; 1.5min collecting garbage
Samples
2.1min17 467×3exit
43.2s268 637×0valid
4.7s28 859×1valid
1.3s11 031×0invalid
599.0ms2 437×2valid
180.0ms1 675×1exit
130.0ms700×1invalid
52.0ms4×5exit
41.0ms2×4exit
0.0ms1×3valid
Precisions
Click to see histograms. Total time spent on operations: 2.6min
adjust: 23.2s (15.1% of total)
ival-mult!: 22.6s (14.7% of total)
ival-exp: 20.5s (13.3% of total)
ival-log: 18.4s (12% of total)
ival-pow2: 18.3s (11.9% of total)
ival-div!: 9.3s (6% of total)
ival-sub!: 7.8s (5.1% of total)
ival-add!: 7.5s (4.9% of total)
ival-sqrt: 5.8s (3.8% of total)
ival-neg: 5.4s (3.5% of total)
ival-fmax: 3.2s (2% of total)
ival-fabs: 2.9s (1.9% of total)
ival-sin: 1.6s (1% of total)
ival-sinu: 1.1s (0.7% of total)
ival-cos: 919.0ms (0.6% of total)
ival-fmin: 910.0ms (0.6% of total)
ival-floor: 807.0ms (0.5% of total)
ival-cosu: 696.0ms (0.5% of total)
ival-<=: 544.0ms (0.4% of total)
ival-expm1: 443.0ms (0.3% of total)
ival-if: 362.0ms (0.2% of total)
ival-tan: 310.0ms (0.2% of total)
ival-and: 300.0ms (0.2% of total)
ival-log2: 294.0ms (0.2% of total)
ival-log1p: 147.0ms (0.1% of total)
ival-atan: 145.0ms (0.1% of total)
ival-asin: 138.0ms (0.1% of total)
ival-sinh: 77.0ms (0.1% of total)
ival->: 74.0ms (0% of total)
ival-<: 56.0ms (0% of total)
ival->=: 41.0ms (0% of total)
ival-assert: 32.0ms (0% of total)
const: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

series2.8min (33.1%)

Memory
3 118.4MiB live, 198 411.4MiB allocated; 1.1min collecting garbage
Counts
6 165 → 19 644
Calls

1497 calls:

TimeVariablePointExpression
608.0ms
dY.u
@-inf
((log2 (* (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4) (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4))) (* (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4) (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4)) (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4) (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (* (floor d) (* (floor d) dX.w)) (floor d) d (* (floor d) dX.w) dX.w (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (* (floor h) (* (floor h) dX.v)) (floor h) h (* (floor h) dX.v) dX.v (* (* (floor w) (floor w)) (* dX.u dX.u)) (* (floor w) (floor w)) (floor w) w (* dX.u dX.u) dX.u (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (* (floor d) (* (floor d) dY.w)) (* (floor d) dY.w) dY.w (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))) (* (floor w) (* (floor w) dY.u)) (* (floor w) dY.u) dY.u (* (* dY.v dY.v) (* (floor h) (floor h))) (* dY.v dY.v) dY.v (* (floor h) (floor h)) 1/4 (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* (floor d) (floor d)) (* dX.w dX.w) (* (* (floor h) (floor h)) (* dX.v dX.v)) (* dX.v dX.v) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)) (* (floor h) dY.v) (* (* (floor d) dY.w) (* (floor d) dY.w)) (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (* (+ (/ (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* dX.u dX.u)) (* (floor w) (floor w))) (* dX.u dX.u)) (+ (/ (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* dX.u dX.u)) (* (floor w) (floor w))) (/ (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* dX.u dX.u)) (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (floor w) dX.u) (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (floor d) dX.w) (* (floor d) dX.w)) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))) (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (exp (* (log (* (floor w) dY.u)) 2)) (* (log (* (floor w) dY.u)) 2) (log (* (floor w) dY.u)) 2 (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w))) (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (pow (* (floor w) dY.u) 4) 4 (pow (* (floor h) dY.v) 4) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v))) (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))
375.0ms
dY.u
@0
((if (< (if (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) 1) (fmax 1 (* (if (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (floor maxAniso) (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))))) (if (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))))) (if (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (floor maxAniso) (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))))) (< (if (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) 1) (if (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) (> (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (floor maxAniso)) (* (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (fmax (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (+ (* (* (* (floor h) (floor h)) dX.v) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (* (* (floor h) (floor h)) dX.v) (* (floor h) (floor h)) (floor h) h dX.v (* (* (floor w) (floor w)) (* dX.u dX.u)) (* (floor w) (floor w)) (floor w) w (* dX.u dX.u) dX.u (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w)))) (* (* (floor h) (floor h)) dY.v) dY.v (* (* dY.u dY.u) (* (floor w) (floor w))) (* dY.u dY.u) dY.u (/ 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) 1 (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))) (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)) (* dY.u dX.v) (* dY.v dX.u) (floor maxAniso) maxAniso (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (sqrt 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dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) 1) (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor 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dY.v)) dX.v) (* (* (floor h) dY.u) (/ (floor w) dY.v)) (* (floor h) dY.u) (/ (floor w) dY.v) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))) (fmax 1 (* (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))))) (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))))) (* (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))))) (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (floor maxAniso)) (/ (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))))) (if (> (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))))))
370.0ms
u0
@inf
((/ 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)))) (+ 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 (+ (/ (* (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 (+ (/ (* (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 (+ (/ (* (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)))) (+ (/ (* (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))) (/ (* (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))))))) (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) (/ alphay alphax) alphay alphax (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (+ (* (/ (PI) u1) 1/2) (+ (PI) (PI))) u1) (+ (* (/ (PI) u1) 1/2) (+ (PI) (PI))) (/ (PI) u1) (PI) u1 1/2 (+ (PI) (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)) (* (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))))))) (* 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))) (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (- 1 (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))) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2)) (* (PI) 1/2) 2 (/ 1 (sqrt (+ (/ 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 u0))) 1))) (sqrt (+ (/ 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 u0))) 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))) (- 1 u0))) 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))) (- 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))) (- 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)) (/ 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))))) (+ (* (* alphay alphay) (- (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2))) 1) (- (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2)) (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay)) (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) 4 (* (- 1 u0) (- 1 u0)) 1/4 (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax))) (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) -1/2 (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) (* -1/4 (* u0 u0)) -1/4 (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2) (/ 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)))
349.0ms
u0
@-inf
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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))) (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (pow (tanh (asinh 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1/2))) (/ alphay alphax)))) 2) (* alphay alphay)) (/ (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) (* alphax alphax))) (- 1 u0))) 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))) (- 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))) (- 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)) (/ 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))))) (+ (* (* alphay alphay) (- (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2))) 1) (- (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2)) (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay)) (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) 4 (* (- 1 u0) (- 1 u0)) 1/4 (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax))) (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) -1/2 (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) (* -1/4 (* u0 u0)) -1/4 (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2) (/ 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)))
240.0ms
dY.v
@inf
((log2 (* (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4) (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4))) (* (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4) (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4)) (pow (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1/4) (fmax (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) (+ (* (* (floor d) (* (floor d) dX.w)) dX.w) (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u)))) (* (floor d) (* (floor d) dX.w)) (floor d) d (* (floor d) dX.w) dX.w (+ (* (* (floor h) (* (floor h) dX.v)) dX.v) (* (* (floor w) (floor w)) (* dX.u dX.u))) (* (floor h) (* (floor h) dX.v)) (floor h) h (* (floor h) dX.v) dX.v (* (* (floor w) (floor w)) (* dX.u dX.u)) (* (floor w) (floor w)) (floor w) w (* dX.u dX.u) dX.u (+ (* (* (floor d) (* (floor d) dY.w)) dY.w) (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (* (floor d) (* (floor d) dY.w)) (* (floor d) dY.w) dY.w (+ (* (* (floor w) (* (floor w) dY.u)) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))) (* (floor w) (* (floor w) dY.u)) (* (floor w) dY.u) dY.u (* (* dY.v dY.v) (* (floor h) (floor h))) (* dY.v dY.v) dY.v (* (floor h) (floor h)) 1/4 (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* (floor d) (floor d)) (* dX.w dX.w) (* (* (floor h) (floor h)) (* dX.v dX.v)) (* dX.v dX.v) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)) (* (floor h) dY.v) (* (* (floor d) dY.w) (* (floor d) dY.w)) (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (* (+ (/ (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* dX.u dX.u)) (* (floor w) (floor w))) (* dX.u dX.u)) (+ (/ (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* dX.u dX.u)) (* (floor w) (floor w))) (/ (+ (* (* (floor d) (floor d)) (* dX.w dX.w)) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* dX.u dX.u)) (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (floor w) dX.u) (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (floor d) dX.w) (* (floor d) dX.w)) (+ (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor d) dY.w) (* (floor d) dY.w))) (+ (exp (* (log (* (floor w) dY.u)) 2)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (exp (* (log (* (floor w) dY.u)) 2)) (* (log (* (floor w) dY.u)) 2) (log (* (floor w) dY.u)) 2 (log2 (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w)))))) (sqrt (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w))))) (fmax (+ (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (floor d) dX.w) (* (floor d) dX.w))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w)))) (+ (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (* (* (floor d) dY.w) (* (floor d) dY.w))) (/ (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))) (- (pow (* (floor w) dY.u) 4) (pow (* (floor h) dY.v) 4)) (pow (* (floor w) dY.u) 4) 4 (pow (* (floor h) dY.v) 4) (* (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v))) (+ (* (floor w) dY.u) (* (floor h) dY.v)) (- (* (floor w) dY.u) (* (floor h) dY.v)))

rewrite33.6s (6.5%)

Memory
638.8MiB live, 34 570.4MiB allocated; 11.6s collecting garbage
Stop Event
300×iter-limit
139×node-limit
1×unsound
Counts
25 809 → 68 133

analyze28.6s (5.5%)

Memory
308.3MiB live, 31 372.1MiB allocated; 11.8s collecting garbage
Algorithm
37×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

regimes26.2s (5.1%)

Memory
147.8MiB live, 34 316.7MiB allocated; 9.3s collecting garbage
Counts
11 032 → 495
Calls

158 calls:

809.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
754.0ms
(*.f32 uy #s(literal 2 binary32))
745.0ms
uy
697.0ms
(log2.f32 (sqrt.f32 (fmax.f32 (+.f32 (+.f32 (*.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 w) dX.u)) (*.f32 (*.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 h) dX.v))) (*.f32 (*.f32 (floor.f32 d) dX.w) (*.f32 (floor.f32 d) dX.w))) (+.f32 (+.f32 (*.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 w) dY.u)) (*.f32 (*.f32 (floor.f32 h) dY.v) (*.f32 (floor.f32 h) dY.v))) (*.f32 (*.f32 (floor.f32 d) dY.w) (*.f32 (floor.f32 d) dY.w))))))
671.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Compiler

Compiled 17 623 to 17 016 computations (3.4% saved)

derivations14.3s (2.8%)

Memory
421.8MiB live, 11 596.3MiB allocated; 2.2s collecting garbage
Stop Event
33×fuel
2×done
Compiler

Compiled 9 574 to 3 969 computations (58.5% saved)

eval11.2s (2.2%)

Memory
988.6MiB live, 16 450.3MiB allocated; 4.1s collecting garbage
Compiler

Compiled 2 220 493 to 438 011 computations (80.3% saved)

preprocess9.9s (1.9%)

Memory
-628.0MiB live, 9 264.1MiB allocated; 7.2s collecting garbage
Stop Event
36×node-limit
Compiler

Compiled 56 671 to 37 933 computations (33.1% saved)

prune7.9s (1.5%)

Memory
-384.4MiB live, 11 216.4MiB allocated; 3.0s collecting garbage
Counts
69 406 → 3 955
Compiler

Compiled 329 022 to 204 012 computations (38% saved)

bsearch1.2s (0.2%)

Memory
-25.4MiB live, 1 680.0MiB allocated; 356ms collecting garbage
Algorithm
100×binary-search
51×left-value
Stop Event
98×narrow-enough
2×predicate-same
Samples
394.0ms2 882×0valid
194.0ms1 037×1valid
59.0ms273×2valid
8.0ms54×1invalid
4.0ms84×0invalid
Compiler

Compiled 36 044 to 31 292 computations (13.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 534.0ms
ival-pow2: 110.0ms (20.6% of total)
ival-fmax: 70.0ms (13.1% of total)
ival-exp: 64.0ms (12% of total)
ival-sub!: 49.0ms (9.2% of total)
ival-mult!: 43.0ms (8.1% of total)
adjust: 42.0ms (7.9% of total)
ival-sqrt: 37.0ms (6.9% of total)
ival-add!: 23.0ms (4.3% of total)
ival-fmin: 18.0ms (3.4% of total)
ival-fabs: 18.0ms (3.4% of total)
ival-cos: 17.0ms (3.2% of total)
ival-sin: 15.0ms (2.8% of total)
ival-log1p: 14.0ms (2.6% of total)
ival-neg: 14.0ms (2.6% of total)

start28.0ms (0%)

Memory
18.0MiB live, 60.0MiB allocated; 9ms collecting garbage

end0.0ms (0%)

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

1 calls:

TimeVariablePointExpression
2.4min
u1
@0
((/ 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)))) (+ 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 (+ (/ (* (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 (+ (/ (* (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 (+ (/ (* (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)))) (+ (/ (* (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))) (/ (* (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))))))) (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) (/ alphay alphax) alphay alphax (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (+ (* (/ (PI) u1) 1/2) (+ (PI) (PI))) u1) (+ (* (/ (PI) u1) 1/2) (+ (PI) (PI))) (/ (PI) u1) (PI) u1 1/2 (+ (PI) (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)) (* (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))))))) (* 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))) (+ (* (* alphax alphax) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))))) 1) (/ u0 (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) (* (- 1 u0) (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) (- 1 (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))) (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)) (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2)) (* (PI) 1/2) 2 (/ 1 (sqrt (+ (/ 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 u0))) 1))) (sqrt (+ (/ 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 u0))) 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))) (- 1 u0))) 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))) (- 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))) (- 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)) (/ 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))))) (+ (* (* alphay alphay) (- (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2))) 1) (- (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2)) (neg (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay))) (* (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (* alphay alphay)) (+ (* (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) -1/2) (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))))) (+ (* (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) 1/4) (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)))) (/ (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) (* u0 u0) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0))) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) 4 (* (- 1 u0) (- 1 u0)) 1/4 (/ (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax))) (* (- 1 (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)) u0) (* (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) (* alphax alphax)) (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4)) -1/2 (/ (* -1/4 (* u0 u0)) (* (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 4) (* (- 1 u0) (- 1 u0)))) (* -1/4 (* u0 u0)) -1/4 (* (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2))) 1/2) (/ 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)))

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