Herbie run

Date:Wednesday, May 7th, 2025
Commit:3ca32539 on mega-taylor-deduplication
Seed:2025127
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:572 071.7 MB

Time bar (total: 8.4min)

sample3.5min (41.4%)

Memory
5 154.9MiB live, 208 354.7MiB allocated; 1.5min collecting garbage
Samples
2.1min16 850×3exit
39.6s268 651×0valid
4.9s28 617×1valid
1.4s10 972×0invalid
586.0ms2 512×2valid
212.0ms728×1invalid
154.0ms1 630×1exit
79.0ms5exit
26.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 2.5min
ival-mult!: 24.3s (15.9% of total)
ival-pow2: 21.5s (14.1% of total)
adjust: 19.6s (12.8% of total)
ival-exp: 18.5s (12.1% of total)
ival-log: 17.1s (11.2% of total)
ival-div!: 10.0s (6.5% of total)
ival-sub!: 7.4s (4.9% of total)
ival-add!: 7.3s (4.8% of total)
ival-sqrt: 6.0s (3.9% of total)
ival-neg: 6.0s (3.9% of total)
ival-fmax: 5.3s (3.5% of total)
ival-sin: 1.4s (0.9% of total)
ival-fabs: 1.4s (0.9% of total)
ival-fmin: 1.3s (0.8% of total)
ival-cos: 927.0ms (0.6% of total)
ival-floor: 736.0ms (0.5% of total)
ival-sinu: 700.0ms (0.5% of total)
ival-<=: 536.0ms (0.4% of total)
ival-expm1: 467.0ms (0.3% of total)
ival-cosu: 369.0ms (0.2% of total)
ival-tan: 344.0ms (0.2% of total)
ival-and: 294.0ms (0.2% of total)
ival-asin: 286.0ms (0.2% of total)
ival-if: 255.0ms (0.2% of total)
ival-log2: 252.0ms (0.2% of total)
ival-log1p: 136.0ms (0.1% of total)
ival-atan: 122.0ms (0.1% of total)
ival-sinh: 88.0ms (0.1% of total)
ival->: 50.0ms (0% of total)
ival->=: 44.0ms (0% of total)
ival-assert: 29.0ms (0% of total)
ival-<: 27.0ms (0% of total)
const: 2.0ms (0% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

series2.9min (34.2%)

Memory
3 085.5MiB live, 214 591.3MiB allocated; 1.2min collecting garbage
Counts
6 124 → 20 867
Calls

1497 calls:

TimeVariablePointExpression
438.0ms
w
@0
((if (>= (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))))) (>= (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* (* (floor w) (floor w)) dX.u) (* (floor w) (floor w)) (floor w) w dX.u (* (* (floor h) (floor h)) (* dX.v dX.v)) (* (floor h) (floor h)) (floor h) h (* dX.v dX.v) dX.v (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))) (* (* (floor w) (floor w)) dY.u) dY.u (* (* dY.v dY.v) (* (floor h) (floor h))) (* dY.v dY.v) dY.v (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v) (if (>= (+ (* (* (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)))) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dX.v)) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v))) (>= (+ (* (* (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 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 w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))) (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (floor w) dY.u) (* (* (floor h) dY.v) (* (floor h) dY.v)) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dX.v)) (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) 1 (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v)) (if (>= (+ (* (* (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)))) (* (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) dX.v) (floor h)) (* (/ 1 (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 h) dY.v))) (* (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) dX.v) (floor h)) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) dX.v) (* (/ 1 (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 h) dY.v)) (/ 1 (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)))))) (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 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 (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (* (/ 1 (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))) (* (floor h) dX.v)) (* (/ 1 (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))) (* (floor h) dY.v))) (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (exp (* (log (* (floor h) dX.v)) 2)) (* (log (* (floor h) dX.v)) 2) (log (* (floor h) dX.v)) 2 (* (/ 1 (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))) (* (floor h) dX.v)) (/ 1 (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))) (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (* (/ 1 (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (exp (* (log (* (floor h) dX.v)) 2))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))))) (* (floor h) dY.v)) (if (>= (+ (* (* (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)))) (* (* (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2) (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2)) (* (floor h) dX.v)) (* (* (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2) (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2)) (* (floor h) dY.v))) (* (* (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2) (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2)) (* (floor h) dX.v)) (* (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2) (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2)) (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2) -1/2 (* (* (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2) (pow (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) -1/2)) (* (floor h) dY.v)))
427.0ms
s
@0
((* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* 3 s) 3 s (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (/ 1 (- 1 (/ (- u 1/4) 3/4))) 1 (- 1 (/ (- u 1/4) 3/4)) (/ (- u 1/4) 3/4) (- u 1/4) u 1/4 3/4)
347.0ms
dX.v
@0
((if (>= (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))))) (>= (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (* (* (floor h) dX.v) (floor h)) (* (floor h) dX.v) (floor h) h dX.v (* (* dX.u dX.u) (* (floor w) (floor w))) (* dX.u dX.u) dX.u (* (floor w) (floor w)) (floor w) w (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))) (* (* (floor w) (floor w)) dY.u) dY.u (* (* dY.v dY.v) (* (floor h) (floor h))) (* dY.v dY.v) dY.v (* (floor h) (floor h)) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (* (floor h) dX.v) (floor h)) dX.v) (* (* dX.u dX.u) (* (floor w) (floor w)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v) (if (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))))) (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (* (floor w) dX.u) (* (* dX.v dX.v) (* (floor h) (floor h))) (* dX.v dX.v) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))) (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (if (>= (+ (* (* (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)))) (* (pow (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) -1/2) (* (floor h) dX.v)) (* (pow (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) -1/2) (* (floor h) dY.v))) (>= (+ (* (* (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 w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (* (* (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 w) dY.u) (* (floor w) dY.u)) (* (floor w) dY.u) (* (* (floor h) dY.v) (* (floor h) dY.v)) (* (pow (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) -1/2) (* (floor h) dX.v)) (pow (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) -1/2) (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (* (* (floor w) (floor w)) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v)) -1/2 (* (pow (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))) -1/2) (* (floor h) dY.v)) (if (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (* (log (* (floor h) dY.v)) 2)))) (* (/ 1 (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)) (exp (* (log (* (floor h) dY.v)) 2)))))) (* (floor h) dX.v)) (* (/ 1 (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)) (exp (* (log (* (floor h) dY.v)) 2)))))) (* (floor h) dY.v))) (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (* (log (* (floor h) dY.v)) 2)))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (* (log (* (floor h) dY.v)) 2))) (exp (* (log (* (floor h) dY.v)) 2)) (* (log (* (floor h) dY.v)) 2) (log (* (floor h) dY.v)) 2 (* (/ 1 (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)) (exp (* (log (* (floor h) dY.v)) 2)))))) (* (floor h) dX.v)) (/ 1 (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)) (exp (* (log (* (floor h) dY.v)) 2)))))) 1 (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)) (exp (* (log (* (floor h) dY.v)) 2))))) (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)) (exp (* (log (* (floor h) dY.v)) 2)))) (* (/ 1 (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)) (exp (* (log (* (floor h) dY.v)) 2)))))) (* (floor h) dY.v)) (if (>= (+ (* (* (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)))) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (floor h) dX.v))) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v))) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (floor h) dX.v))) (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w)))) (* (* dY.u dY.u) (* (floor w) (floor w))) (* dY.u dY.u) -1/4 (* (pow (fmax (+ (* (* dX.u dX.u) (* (floor w) (floor w))) (* (* dX.v dX.v) (* (floor h) (floor h)))) (+ (* (* dY.v dY.v) (* (floor h) (floor h))) (* (* dY.u dY.u) (* (floor w) (floor w))))) -1/4) (* (floor h) dX.v)) (* (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (* (floor h) dY.v)) (sqrt (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h))))))) (/ 1 (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor w) (floor w)) dY.u) dY.u) (* (* dY.v dY.v) (* (floor h) (floor h)))))))
345.0ms
h
@-inf
((log2 (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)) (exp (+ (log (floor h)) (log (* 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)) (exp (+ (log (floor h)) (log (* 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)) (exp (+ (log (floor h)) (log (* 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)) (exp (+ (log (floor h)) (log (* 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)) (exp (+ (log (floor h)) (log (* 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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v)))))))))) (> (/ (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)) (exp (+ (log (floor h)) (log (* 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)) (/ (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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v))))))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))) (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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v))))))) (+ (* (* (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 w) w dX.u (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (floor h) dX.v) (floor h) h dX.v (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v)))))) (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (floor w) dY.u) dY.u (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v))))) (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v)))) (log (floor h)) (log (* dY.v (* (floor h) dY.v))) (* dY.v (* (floor h) dY.v)) dY.v (* (floor h) dY.v) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u)))) (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))) (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v)))))))) (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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) 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)) (exp (+ (log (floor h)) (log (* dY.v (* (floor h) dY.v))))))))) (log2 (if (> (/ (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w)))))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))))))) (if (> (/ (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w)))))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w)))))))) (> (/ (fmax (+ (* (* (* (floor w) (floor w)) dX.u) dX.u) (* (* (floor h) (floor h)) (* dX.v dX.v))) (+ (* (* (* (floor h) (floor h)) dY.v) dY.v) (* (* dY.u dY.u) (* (floor w) (floor w))))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) 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298.0ms
s
@-inf
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(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) -2 (* (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) (* (neg s) (log (/ (- (pow (/ 1 (+ (* (- (/ 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)))))) (* 4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) 4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (- (* 1/4 (PI)) (* -1/4 (PI))) (* 1/4 (PI)) 1/4 (* -1/4 (PI)) -1/4 (* (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 (* (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) u)) (* (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (+ 1 (exp (/ (neg (PI)) s))) (exp (/ (neg (PI)) s)) (/ (neg (PI)) s) (neg (PI)) (/ 1 (+ 1 (exp (/ (PI) s)))) (+ 1 (exp (/ (PI) s))) (exp (/ (PI) s)) (+ 1 (/ (PI) s)) (* (neg s) (log (- (exp (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1)) 1))) (log (- (exp (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1)) 1)) (- (exp (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1)) 1) (* (log (+ (* (- (/ 1 (+ (exp (/ (neg (PI)) s)) 1)) (/ 1 (+ (exp (/ (PI) s)) 1))) u) (/ 1 (+ (exp (/ (PI) s)) 1)))) -1) (log (+ (* (- (/ 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 (/ (neg (PI)) s)) 1)) (+ (exp (/ (neg (PI)) s)) 1) (/ 1 (+ (exp (/ (PI) s)) 1)) (+ (exp (/ (PI) s)) 1))

rewrite33.0s (6.6%)

Memory
596.1MiB live, 35 547.5MiB allocated; 10.4s collecting garbage
Stop Event
314×iter-limit
137×node-limit
unsound
Counts
26 991 → 56 739

analyze27.2s (5.4%)

Memory
313.8MiB live, 34 784.6MiB allocated; 9.4s 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)

regimes25.9s (5.1%)

Memory
879.1MiB live, 33 587.7MiB allocated; 13.8s collecting garbage
Counts
9 914 → 474
Calls

158 calls:

2.1s
x
1.6s
(fabs.f32 x)
1.3s
(*.f32 uy #s(literal 2 binary32))
849.0ms
maxCos
635.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Compiler

Compiled 15 724 to 16 263 computations (-3.4% saved)

derivations11.5s (2.3%)

Memory
-67.0MiB live, 9 946.5MiB allocated; 2.3s collecting garbage
Stop Event
34×fuel
done
Compiler

Compiled 8 526 to 3 818 computations (55.2% saved)

eval11.0s (2.2%)

Memory
67.2MiB live, 14 482.7MiB allocated; 6.6s collecting garbage
Compiler

Compiled 2 240 416 to 386 991 computations (82.7% saved)

prune6.5s (1.3%)

Memory
-56.9MiB live, 10 436.6MiB allocated; 1.7s collecting garbage
Counts
57 829 → 3 831
Compiler

Compiled 323 696 to 196 476 computations (39.3% saved)

preprocess6.4s (1.3%)

Memory
-114.1MiB live, 9 007.2MiB allocated; 1.6s collecting garbage
Stop Event
36×node-limit
Compiler

Compiled 65 009 to 41 962 computations (35.5% saved)

bsearch1.1s (0.2%)

Memory
-37.6MiB live, 1 281.7MiB allocated; 151ms collecting garbage
Algorithm
98×binary-search
43×left-value
Stop Event
97×narrow-enough
predicate-same
Samples
387.0ms2 449×0valid
240.0ms1 351×1valid
99.0ms264×2valid
32.0ms161×1invalid
11.0ms208×0invalid
Compiler

Compiled 24 311 to 20 822 computations (14.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 622.0ms
ival-exp: 118.0ms (19% of total)
adjust: 80.0ms (12.9% of total)
ival-pow2: 79.0ms (12.7% of total)
ival-mult!: 64.0ms (10.3% of total)
ival-fmax: 42.0ms (6.8% of total)
ival-sin: 40.0ms (6.4% of total)
ival-sub!: 38.0ms (6.1% of total)
ival-sqrt: 32.0ms (5.1% of total)
ival-cos: 32.0ms (5.1% of total)
ival-fabs: 30.0ms (4.8% of total)
ival-add!: 26.0ms (4.2% of total)
ival-log1p: 26.0ms (4.2% of total)
ival-fmin: 10.0ms (1.6% of total)
ival-neg: 5.0ms (0.8% of total)

start25.0ms (0%)

Memory
5.1MiB live, 50.7MiB allocated; 7ms collecting garbage

end0.0ms (0%)

Memory
0.6MiB live, 0.5MiB 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))))) (sqrt (/ 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))) (/ 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)) 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))) 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)) (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) (PI)) (PI) u1 (* (PI) 1/2) 1/2 (/ alphay alphax) 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)) (* alphax alphax) (- 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 (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1))) (/ 1 (+ (* (* alphay alphay) (/ u0 (* (- 1 u0) (pow (tanh (asinh (* (tan (+ (* (+ (PI) (PI)) u1) (* (PI) 1/2))) (/ alphay alphax)))) 2)))) 1)) (+ (* (* 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)) (/ 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 (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))) (+ (* (/ (+ 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)))) u0) 1) (/ (+ 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))

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