Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 2.5min)

analyze1.2s (0.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
25%0%0%100%0%0%0%3
25%0%0%100%0%0%0%4
25%0%0%100%0%0%0%5
37.5%0%0%100%0%0%0%6
56.3%0%0%100%0%0%0%7
56.3%0%0%100%0%0%0%8
56.3%0%0%100%0%0%0%9
65.6%0%0%100%0%0%0%10
76.6%0%0%100%0%0%0%11
76.6%0%0%100%0%0%0%12
Compiler

Compiled 123 to 87 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 765.0ms
Operation ival-mult, time spent: 191.0ms, 25.0% of total-time
Operation ival-tan, time spent: 138.0ms, 18.0% of total-time
Operation ival-cos, time spent: 102.0ms, 13.0% of total-time
Operation ival-sin, time spent: 73.0ms, 10.0% of total-time
Operation ival-atan, time spent: 52.0ms, 7.0% of total-time
Operation ival-add, time spent: 48.0ms, 6.0% of total-time
Operation ival-div, time spent: 43.0ms, 6.0% of total-time
Operation ival-<=, time spent: 36.0ms, 5.0% of total-time
Operation ival-pi, time spent: 34.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 18.0ms, 2.0% of total-time
Operation const, time spent: 13.0ms, 2.0% of total-time
Operation ival-and, time spent: 9.0ms, 1.0% of total-time
Operation ival-sub, time spent: 7.0ms, 1.0% of total-time

sample10.0s (6.6%)

Results
9.2s8255×0valid
1.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 7.4s
Operation ival-tan, time spent: 1.6s, 22.0% of total-time
Operation ival-mult, time spent: 1.3s, 18.0% of total-time
Operation ival-atan, time spent: 946.0ms, 13.0% of total-time
Operation ival-add, time spent: 822.0ms, 11.0% of total-time
Operation ival-cos, time spent: 764.0ms, 10.0% of total-time
Operation ival-sin, time spent: 723.0ms, 10.0% of total-time
Operation ival-div, time spent: 413.0ms, 6.0% of total-time
Operation ival-<=, time spent: 288.0ms, 4.0% of total-time
Operation ival-sub, time spent: 138.0ms, 2.0% of total-time
Operation const, time spent: 118.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 111.0ms, 2.0% of total-time
Operation ival-and, time spent: 73.0ms, 1.0% of total-time
Operation ival-pi, time spent: 55.0ms, 1.0% of total-time
Bogosity

preprocess2.3min (92.6%)

Algorithm
egg-herbie
Rules
836×div-sub
485×associate-/r*
473×associate-/l*
455×fma-def
419×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02155376
15015176
211694912
342764656
476534656
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 1 (neg.f32 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 1 u0)))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 1 (neg.f32 u0)))))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u1) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 u0 u0)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) alphax) (-.f32 1 alphax)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 u0 u0)))) alphay) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 1 u0)))))
Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
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(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) u1) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) u1) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 1 (+.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) alphax)) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) (/.f32 (*.f32 u1 u1) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))))))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2)))))) u1) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2)))))) u1) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2)))))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2))))))) u1) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2))))))) u1) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2))))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2))))))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (*.f32 alphax alphax)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) u1) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) u1))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 1 (+.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax)))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) alphay) (*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) (*.f32 alphax alphax)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) alphax))))))))
Results
Compiler

Compiled 1658 to 1022 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.3min
Operation ival-tan, time spent: 55.7s, 41.0% of total-time
Operation ival-atan, time spent: 33.2s, 24.0% of total-time
Operation ival-sin, time spent: 19.3s, 14.0% of total-time
Operation ival-cos, time spent: 18.6s, 14.0% of total-time
Operation ival-mult, time spent: 5.2s, 4.0% of total-time
Operation ival-add, time spent: 3.0s, 2.0% of total-time
Operation ival-div, time spent: 837.0ms, 1.0% of total-time
Operation const, time spent: 216.0ms, 0.0% of total-time
Operation ival-sub, time spent: 209.0ms, 0.0% of total-time
Operation ival-sqrt, time spent: 75.0ms, 0.0% of total-time
Operation ival-pi, time spent: 15.0ms, 0.0% of total-time

Profiling

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