Herbie run

Date:Tuesday, April 15th, 2025
Commit:5565a39e on main
Seed:2025105
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:322 045.0 MB

Time bar (total: 3.5min)

sample54.7s (25.8%)

Memory
518.5MiB live, 78 020.7MiB allocated; 22.1s collecting garbage
Samples
31.7s241 571×0valid
7.1s28 592×1valid
1.3s11 139×0invalid
679.0ms2 285×2valid
175.0ms1 665×1exit
170.0ms746×1invalid
Precisions
Click to see histograms. Total time spent on operations: 28.9s
ival-mult!: 6.6s (22.8% of total)
ival-div!: 3.3s (11.3% of total)
ival-sqrt: 2.4s (8.3% of total)
ival-sub!: 2.1s (7.2% of total)
ival-log: 2.0s (6.9% of total)
ival-fabs: 1.6s (5.5% of total)
ival-exp: 1.5s (5.3% of total)
ival-sin: 1.2s (4.3% of total)
ival-add!: 1.0s (3.5% of total)
adjust: 906.0ms (3.1% of total)
ival-floor: 817.0ms (2.8% of total)
ival-neg: 782.0ms (2.7% of total)
ival-pow2: 600.0ms (2.1% of total)
ival-sinu: 546.0ms (1.9% of total)
ival-<=: 519.0ms (1.8% of total)
ival-cos: 448.0ms (1.6% of total)
ival-cosu: 425.0ms (1.5% of total)
ival-fmax: 374.0ms (1.3% of total)
ival-tan: 329.0ms (1.1% of total)
ival-and: 309.0ms (1.1% of total)
ival-if: 290.0ms (1% of total)
ival-log2: 208.0ms (0.7% of total)
ival-log1p: 151.0ms (0.5% of total)
ival-asin: 147.0ms (0.5% of total)
ival-atan: 97.0ms (0.3% of total)
ival-sinh: 86.0ms (0.3% of total)
ival->=: 53.0ms (0.2% of total)
ival->: 50.0ms (0.2% of total)
ival-assert: 32.0ms (0.1% of total)
ival-<: 27.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
Bogosity

rewrite33.3s (15.7%)

Memory
143.0MiB live, 42 718.1MiB allocated; 11.4s collecting garbage
Stop Event
297×iter-limit
130×node-limit
1×unsound
Counts
31 367 → 57 453

regimes29.7s (14%)

Memory
286.5MiB live, 47 712.7MiB allocated; 8.8s collecting garbage
Counts
11 011 → 522
Calls

160 calls:

856.0ms
w
775.0ms
s
740.0ms
(/.f32 cos2phi (*.f32 alphax alphax))
724.0ms
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) u))
703.0ms
(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 28 789 to 21 416 computations (25.6% saved)

eval28.7s (13.5%)

Memory
431.0MiB live, 48 757.6MiB allocated; 10.6s collecting garbage
Compiler

Compiled 26 144 884 to 481 697 computations (98.2% saved)

series20.0s (9.5%)

Memory
1 108.2MiB live, 36 280.7MiB allocated; 5.0s collecting garbage
Counts
5 558 → 25 809
Calls

1443 calls:

TimeVariablePointExpression
272.0ms
dY.v
@inf
((if (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (pow (* (floor h) dX.v) 2) (* (floor h) dX.v) (floor h) h dX.v 2 (pow (* (floor w) dX.u) 2) (* (floor w) dX.u) (floor w) w dX.u (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)) (pow (* (floor h) dY.v) 2) (* (floor h) dY.v) dY.v (pow (* (floor w) dY.u) 2) (* (floor w) dY.u) dY.u (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (pow (floor w) 2) (* dX.u dX.u) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (if (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))))) (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))) (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (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)))) (* (/ 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) dX.v)) (* (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 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) 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)) (* (/ 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) 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)))))) 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))))) (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 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)) (* (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 2) (* (floor h) dY.v)) (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 2) (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) -1/4 (if (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2))) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)) (* dY.u dY.u) (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)))) (* (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (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))) (>= (+ (* (* (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)))) (* (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (floor h) dX.v)) (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1) (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))) (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) -1 (* (/ 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)))
158.0ms
dX.u
@0
((if (< (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) 1) (fmax 1 (* (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))))) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))))) (< (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) 1) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (pow (* (floor h) dX.v) 2) (* (floor h) dX.v) (floor h) h dX.v 2 (pow (* (floor w) dX.u) 2) (* (floor w) dX.u) (floor w) w dX.u (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)) (pow (* (floor h) dY.v) 2) (* (floor h) dY.v) dY.v (pow (* (floor w) dY.u) 2) (* (floor w) dY.u) dY.u (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 (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) 1 (fmax 1 (* (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) 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dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (/ (+ (* (pow (* dY.v dX.u) 3) -1) (pow (* dY.u dX.v) 3)) (+ (pow (* dY.v dX.u) 2) (- (pow (* dY.u dX.v) 2) (* (* (neg dX.u) dY.v) (* dY.u dX.v)))))))))) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (/ (+ (* (pow (* dY.v dX.u) 3) -1) (pow (* dY.u dX.v) 3)) (+ (pow (* dY.v dX.u) 2) (- (pow (* dY.u dX.v) 2) (* (* (neg dX.u) dY.v) (* dY.u dX.v))))))))) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) 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dY.u dX.v))) (pow (* dY.u dX.v) 2) (* (* (neg dX.u) dY.v) (* dY.u dX.v)) (if (< (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) 1) (fmax 1 (* (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))))) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (/ (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (floor maxAniso)) (/ (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u)))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))))) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (* (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))) (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))))))) (if (> (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (fabs (* (* (floor h) (floor w)) (- (* dY.u dX.v) (* dY.v dX.u))))) (floor maxAniso)) (floor maxAniso) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (* (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))) (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h)))))) (/ (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (* (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))) (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))))) (* (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))) (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h)))) (sqrt (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h))) (* (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)) (floor h)) (* (- (* dY.u dX.v) (* dY.v dX.u)) (floor w)))
151.0ms
w
@inf
((if (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (pow (* (floor h) dX.v) 2) (* (floor h) dX.v) (floor h) h dX.v 2 (pow (* (floor w) dX.u) 2) (* (floor w) dX.u) (floor w) w dX.u (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)) (pow (* (floor h) dY.v) 2) (* (floor h) dY.v) dY.v (pow (* (floor w) dY.u) 2) (* (floor w) dY.u) dY.u (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (pow (floor w) 2) (* dX.u dX.u) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (if (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))))) (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))) (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (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)))) (* (/ 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) dX.v)) (* (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 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) 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)) (* (/ 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) 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)))))) 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))))) (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 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)) (* (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 2) (* (floor h) dY.v)) (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 2) (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) -1/4 (if (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2))) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)) (* dY.u dY.u) (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)))) (* (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (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))) (>= (+ (* (* (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)))) (* (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (floor h) dX.v)) (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1) (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))) (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) -1 (* (/ 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)))
144.0ms
h
@inf
((if (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))))) (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (pow (* (floor h) dX.v) 2) (* (floor h) dX.v) (floor h) h dX.v 2 (pow (* (floor w) dX.u) 2) (* (floor w) dX.u) (floor w) w dX.u (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)) (pow (* (floor h) dY.v) 2) (* (floor h) dY.v) dY.v (pow (* (floor w) dY.u) 2) (* (floor w) dY.u) dY.u (/ (* (floor h) dX.v) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (sqrt (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (fmax (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (+ (* (pow (floor w) 2) (* dX.u dX.u)) (pow (* (floor h) dX.v) 2)) (pow (floor w) 2) (* dX.u dX.u) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2)))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (if (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))))) (>= (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))) (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (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)))) (* (/ 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) dX.v)) (* (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 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) 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)) (* (/ 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) 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)))))) 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))))) (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 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)) (* (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 2) (* (floor h) dY.v)) (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) 2) (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) -1/4) -1/4 (if (>= (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)))))) (/ (* (floor h) dX.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* (floor w) dY.u) 2))))) (/ (* (floor h) dY.v) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)))) (fmax (+ (pow (* (floor h) dX.v) 2) (pow (* (floor w) dX.u) 2)) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2))) (+ (* (pow (floor w) 2) (* dY.u dY.u)) (pow (* (floor h) dY.v) 2)) (* dY.u dY.u) (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)))) (* (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (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))) (>= (+ (* (* (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)))) (* (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (floor h) dX.v)) (exp (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1)) (* (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) -1) (log (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))))) (sqrt (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2)))) (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (pow (* (floor w) dY.u) 2) (pow (* (floor h) dY.v) 2))) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) -1 (* (/ 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)))
125.0ms
s
@0
((* (* 3 s) (log (/ 1 (/ (- 3/2 (* 2 (- u 1/4))) 3/2)))) (* (* -3 s) (log (+ 1 (* -4/3 (- u 1/4))))) (* -3 s) -3 s (log (+ 1 (* -4/3 (- u 1/4)))) (* -4/3 (- u 1/4)) -4/3 (- u 1/4) u 1/4 (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* 3 (+ (* u s) (* (log 3/4) s))) 3 (+ (* u s) (* (log 3/4) s)) (* u s) (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* (* (neg (log (+ (* -4/3 (- u 1/4)) 1))) s) 3) (* (neg (log (+ (* -4/3 (- u 1/4)) 1))) s) (neg (log (+ (* -4/3 (- u 1/4)) 1))) (log (+ (* -4/3 (- u 1/4)) 1)) (+ (* -4/3 (- u 1/4)) 1) 1 (* (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4))))) (* 3 s) (log (/ 1 (- 1 (/ (- u 1/4) 3/4)))) (/ 1 (- 1 (/ (- u 1/4) 3/4))) (- 1 (/ (- u 1/4) 3/4)) (/ (- u 1/4) 3/4) (- (* 4/3 u) 1/3) (* 4/3 u) 4/3 1/3 (* (* s 3) (neg (- (log (- 3/2 (* 2 (- u 1/4)))) (log 3/2)))) (* s 3) (neg (- (log (- 3/2 (* 2 (- u 1/4)))) (log 3/2))) (- (log (- 3/2 (* 2 (- u 1/4)))) (log 3/2)) (log (- 3/2 (* 2 (- u 1/4)))) (- 3/2 (* 2 (- u 1/4))) 3/2 (* 2 (- u 1/4)) 2 (log 3/2))

analyze12.4s (5.8%)

Memory
150.7MiB live, 18 316.1MiB allocated; 4.8s collecting garbage
Algorithm
33×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%11.5%88.5%0%0%0%0
52.8%6.1%5.4%88.5%0%0%0%1
54.4%6.2%5.2%88.5%0%0%0%2
54.5%6.3%5.2%88.5%0%0%0%3
55.4%6.4%5.1%88.5%0%0%0%4
62.6%7.2%4.3%88.5%0%0%0%5
66.9%7.6%3.8%88.5%0%0.1%0%6
76.4%8.4%2.6%88.5%0%0.4%0%7
76.8%8.5%2.6%88.5%0%0.4%0%8
81.4%9%2%88.5%0%0.4%0%9
85.1%9.3%1.6%88.5%0%0.5%0%10
86.3%9.4%1.5%88.5%0%0.5%0%11
87.3%9.5%1.4%88.5%0%0.6%0%12
Compiler

Compiled 2 648 to 1 113 computations (58% saved)

derivations10.4s (4.9%)

Memory
127.6MiB live, 11 812.4MiB allocated; 1.3s collecting garbage
Stop Event
32×fuel
1×done
Compiler

Compiled 31 731 to 3 956 computations (87.5% saved)

prune9.0s (4.3%)

Memory
-307.0MiB live, 15 930.7MiB allocated; 3.3s collecting garbage
Counts
117 678 → 3 932
Compiler

Compiled 535 763 to 205 988 computations (61.6% saved)

explain8.1s (3.8%)

Memory
24.0MiB live, 14 563.4MiB allocated; 1.6s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32#fsensitivity100480
-.f32#fcancellation37941
sqrt.f32#foflow-rescue3340
sqrt.f64#foflow-rescue2700
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity2050
cos.f32#fsensitivity18519
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancellation18415
-.f64#fcancellation1612
/.f32#fo/n1260
exp.f32#fsensitivity4526
/.f32#fu/n240
sqrt.f32(sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))uflow-rescue170
↳(*.f32 sinTheta_O sinTheta_O)underflow308
↳(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow17
↳(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow154
↳(*.f32 eta eta)underflow17
*.f64(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))n*u140
/.f32#fo/o120
sqrt.f64#fuflow-rescue100
/.f32(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))n/o60
↳(/.f32 sin2phi (*.f32 alphay alphay))overflow11
↳(+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))overflow11
*.f32#fn*u40
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))oflow-rescue20
↳(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)overflow2
↳(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))overflow2
↳(pow.f64 (E.f64) x)overflow2
↳(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))overflow2
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))u*o10
↳(*.f32 u normAngle)underflow5
↳(sin.f32 (*.f32 u normAngle))underflow5
↳(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))overflow1
*.f64(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))n*o10
*.f32(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
Confusion
Predicted +Predicted -
+209680
-4695803
Precision
0.8171539961013645
Recall
0.9632352941176471
Confusion?
Predicted +Predicted MaybePredicted -
+20965426
-4691095694
Precision?
0.7881231671554252
Recall?
0.9880514705882353
Freqs
test
numberfreq
05883
12158
2394
313
Total Confusion?
Predicted +Predicted MaybePredicted -
+2301
-405
Precision?
0.8518518518518519
Recall?
0.9583333333333334
Samples
2.0s14 630×0valid
427.0ms2 120×1valid
39.0ms146×2valid
Compiler

Compiled 16 934 to 1 875 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult!: 422.0ms (27.2% of total)
ival-div!: 204.0ms (13.1% of total)
ival-log: 138.0ms (8.9% of total)
ival-sqrt: 92.0ms (5.9% of total)
ival-add!: 81.0ms (5.2% of total)
ival-exp: 75.0ms (4.8% of total)
ival-fabs: 73.0ms (4.7% of total)
adjust: 63.0ms (4.1% of total)
ival-sub!: 54.0ms (3.5% of total)
ival-sin: 54.0ms (3.5% of total)
ival-floor: 46.0ms (3% of total)
ival-sinu: 33.0ms (2.1% of total)
ival-cos: 30.0ms (1.9% of total)
ival-pow2: 28.0ms (1.8% of total)
ival-neg: 27.0ms (1.7% of total)
ival-tan: 24.0ms (1.5% of total)
ival-cosu: 22.0ms (1.4% of total)
ival-fmax: 20.0ms (1.3% of total)
ival-log2: 17.0ms (1.1% of total)
ival-if: 17.0ms (1.1% of total)
ival-atan: 9.0ms (0.6% of total)
ival-log1p: 8.0ms (0.5% of total)
ival-sinh: 6.0ms (0.4% of total)
ival-asin: 4.0ms (0.3% of total)
ival->: 3.0ms (0.2% of total)
ival->=: 3.0ms (0.2% of total)
ival-<: 1.0ms (0.1% of total)
ival-pi: 0.0ms (0% of total)

preprocess5.2s (2.4%)

Memory
-314.1MiB live, 7 213.2MiB allocated; 1.3s collecting garbage
Stop Event
33×node-limit
Compiler

Compiled 203 152 to 57 060 computations (71.9% saved)

bsearch467.0ms (0.2%)

Memory
-186.9MiB live, 709.0MiB allocated; 166ms collecting garbage
Algorithm
77×binary-search
61×left-value
Stop Event
77×narrow-enough
Samples
102.0ms1 242×0valid
63.0ms337×1valid
50.0ms85×2valid
0.0ms3×0invalid
Compiler

Compiled 13 407 to 9 896 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
adjust: 34.0ms (20.5% of total)
ival-pow2: 29.0ms (17.5% of total)
ival-exp: 22.0ms (13.3% of total)
ival-sqrt: 22.0ms (13.3% of total)
ival-mult!: 22.0ms (13.3% of total)
ival-fabs: 15.0ms (9.1% of total)
ival-add!: 9.0ms (5.4% of total)
ival-sub!: 7.0ms (4.2% of total)
ival-log1p: 5.0ms (3% of total)

start11.0ms (0%)

Memory
-33.9MiB live, 9.7MiB allocated; 10ms collecting garbage

end0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Profiling

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