HairBSDF, Mp, upper

Time bar (total: 4.2s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 66 to 48 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 0.0ms, 0.0% of total-time
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time
Operation ival-<, time spent: 0.0ms, 0.0% of total-time

sample3.9s (92.5%)

Results
3.4s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
Operation ival-div, time spent: 536.0ms, 32.0% of total-time
Operation ival-mult, time spent: 362.0ms, 21.0% of total-time
Operation ival-<=, time spent: 338.0ms, 20.0% of total-time
Operation ival-exp, time spent: 126.0ms, 7.0% of total-time
Operation ival-sinh, time spent: 113.0ms, 7.0% of total-time
Operation ival-and, time spent: 83.0ms, 5.0% of total-time
Operation const, time spent: 58.0ms, 3.0% of total-time
Operation ival-<, time spent: 44.0ms, 3.0% of total-time
Operation ival-neg, time spent: 41.0ms, 2.0% of total-time
Bogosity

preprocess313.0ms (7.5%)

Algorithm
1×egg-herbie
Rules
563×associate-*r*
547×associate-*l*
545×associate-*r/
467×*-commutative
460×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01502070
15511990
221001914
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i cosTheta_i) v))) (/.f32 (*.f32 sinTheta_O cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (/.f32 (*.f32 v cosTheta_O) cosTheta_i)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i sinTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v))) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O))) (/.f32 (*.f32 cosTheta_i v) cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 2 binary32)) cosTheta_O))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 v sinTheta_O) sinTheta_i))) (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 2 binary32)) sinTheta_i))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i v) sinTheta_O))) (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 2 binary32)) sinTheta_O))
Outputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (neg.f32 cosTheta_O) v) v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (neg.f32 cosTheta_O) v) v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v)))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (*.f32 (neg.f32 v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) (neg.f32 v)))))))
(*.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v))))) (neg.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32))))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v))))) (neg.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32))))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 2 binary32)) (neg.f32 v))))
(/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)))) (neg.f32 (*.f32 (neg.f32 v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) (neg.f32 v)))))))
(/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -2 binary32) v)))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O cosTheta_i) (neg.f32 v))) (/.f32 (*.f32 sinTheta_i (/.f32 cosTheta_O v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 (/.f32 sinTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (/.f32 (*.f32 sinTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i cosTheta_i) v))) (/.f32 (*.f32 sinTheta_O cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i cosTheta_i) (neg.f32 v))) (/.f32 (*.f32 sinTheta_O (/.f32 cosTheta_O v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i (neg.f32 v)))) (*.f32 cosTheta_O (/.f32 (/.f32 sinTheta_O v) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) (*.f32 v #s(literal 2 binary32))) (/.f32 sinTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) cosTheta_i))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (/.f32 (*.f32 v cosTheta_O) cosTheta_i)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 2 binary32)) cosTheta_i))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 cosTheta_i))) (/.f32 (*.f32 v (/.f32 cosTheta_O cosTheta_i)) (*.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_i))))))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_i))) (*.f32 v (/.f32 (/.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_i)) (*.f32 cosTheta_i #s(literal 2 binary32))))))
(*.f32 (/.f32 v (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_i))) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_i)) (*.f32 (*.f32 cosTheta_i #s(literal 2 binary32)) cosTheta_i))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i sinTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (exp.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 cosTheta_O v)))) (/.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 sinTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 (neg.f32 cosTheta_O) v))) (*.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 cosTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v))) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (exp.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) (neg.f32 v)))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 cosTheta_O) v))) (/.f32 (*.f32 cosTheta_i (/.f32 (/.f32 sinTheta_O v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 sinTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 cosTheta_O v)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O))) (/.f32 (*.f32 cosTheta_i v) cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 2 binary32)) cosTheta_O))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 cosTheta_O))) (/.f32 (*.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_O))))))
(*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 cosTheta_O)))) (*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_O))) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) cosTheta_O)) (*.f32 (*.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_O)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_O))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 v sinTheta_O) sinTheta_i))) (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 2 binary32)) sinTheta_i))
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O v) sinTheta_i))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (*.f32 sinTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_i))))))
(*.f32 (exp.f32 (*.f32 v (/.f32 sinTheta_O (neg.f32 sinTheta_i)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O sinTheta_i) (*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_i)) sinTheta_i)))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 sinTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_i)))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 v sinTheta_i))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i v) sinTheta_O))) (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 2 binary32)) sinTheta_O))
(*.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_O)))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) sinTheta_O))
(*.f32 (exp.f32 (*.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O sinTheta_O) (*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) sinTheta_O)) (*.f32 (*.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_O)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 v sinTheta_O))))
Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 101 to 38 computations (62.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
Operation ival-div, time spent: 34.0ms, 42.0% of total-time
Operation ival-mult, time spent: 25.0ms, 31.0% of total-time
Operation ival-sinh, time spent: 15.0ms, 19.0% of total-time
Operation ival-exp, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

end0.0ms (0%)

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