GTR1 distribution

Time bar (total: 8.6s)

analyze53.0ms (0.6%)

Memory
28.5MiB live, 106.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.6%99.4%0%0%0%0
0%0%0.6%99.4%0%0%0%1
0%0%0.6%99.4%0%0%0%2
0%0%0.6%99.4%0%0%0%3
0%0%0.6%99.4%0%0%0%4
50%0.3%0.3%99.4%0%0%0%5
50%0.3%0.3%99.4%0%0%0%6
75%0.5%0.2%99.4%0%0%0%7
75%0.5%0.2%99.4%0%0%0%8
87.5%0.6%0.1%99.4%0%0%0%9
87.5%0.6%0.1%99.4%0%0%0%10
93.7%0.6%0%99.4%0%0%0%11
93.7%0.6%0%99.4%0%0%0%12
Compiler

Compiled 40 to 23 computations (42.5% saved)

sample1.6s (19%)

Memory
-73.4MiB live, 2 835.1MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 519.0ms (49.2% of total)
const: 131.0ms (12.4% of total)
ival-log: 94.0ms (8.9% of total)
ival-<=: 83.0ms (7.9% of total)
ival-div: 82.0ms (7.8% of total)
ival-add: 41.0ms (3.9% of total)
ival-sub: 39.0ms (3.7% of total)
ival-pi: 30.0ms (2.8% of total)
ival-and: 23.0ms (2.2% of total)
exact: 10.0ms (0.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess400.0ms (4.7%)

Memory
8.7MiB live, 761.0MiB allocated
Algorithm
2×egg-herbie
Rules
12 798×accelerator-lowering-fma.f32
12 798×accelerator-lowering-fma.f64
4 578×*-lowering-*.f32
4 578×*-lowering-*.f64
2 370×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040150
1166146
2648144
33587144
47869144
01324
14124
214924
362824
4269624
5444924
6774824
0859421
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
Outputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
Call 2
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) (neg cosTheta)) (neg cosTheta)))))
(/ (- (* (neg alpha) (neg alpha)) 1) (* (* (PI) (log (* (neg alpha) (neg alpha)))) (+ 1 (* (* (- (* (neg alpha) (neg alpha)) 1) cosTheta) cosTheta))))
(neg (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) (neg cosTheta)) (neg cosTheta))))))
(neg (/ (- (* (neg alpha) (neg alpha)) 1) (* (* (PI) (log (* (neg alpha) (neg alpha)))) (+ 1 (* (* (- (* (neg alpha) (neg alpha)) 1) cosTheta) cosTheta)))))
(/ (- (* cosTheta cosTheta) 1) (* (* (PI) (log (* cosTheta cosTheta))) (+ 1 (* (* (- (* cosTheta cosTheta) 1) alpha) alpha))))
Outputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ (- 1 (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ -1 (* cosTheta (- cosTheta (* alpha (* alpha cosTheta)))))))
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) (neg cosTheta)) (neg cosTheta)))))
(/ (- 1 (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ -1 (* cosTheta (- cosTheta (* alpha (* alpha cosTheta)))))))
(/ (- (* (neg alpha) (neg alpha)) 1) (* (* (PI) (log (* (neg alpha) (neg alpha)))) (+ 1 (* (* (- (* (neg alpha) (neg alpha)) 1) cosTheta) cosTheta))))
(/ (- 1 (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ -1 (* cosTheta (- cosTheta (* alpha (* alpha cosTheta)))))))
(neg (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) (neg cosTheta)) (neg cosTheta))))))
(/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ -1 (* cosTheta (- cosTheta (* alpha (* alpha cosTheta)))))))
(neg (/ (- (* (neg alpha) (neg alpha)) 1) (* (* (PI) (log (* (neg alpha) (neg alpha)))) (+ 1 (* (* (- (* (neg alpha) (neg alpha)) 1) cosTheta) cosTheta)))))
(/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ -1 (* cosTheta (- cosTheta (* alpha (* alpha cosTheta)))))))
(/ (- (* cosTheta cosTheta) 1) (* (* (PI) (log (* cosTheta cosTheta))) (+ 1 (* (* (- (* cosTheta cosTheta) 1) alpha) alpha))))
(/ (+ (* cosTheta cosTheta) -1) (* (log (* cosTheta cosTheta)) (+ (PI) (* (+ (* cosTheta cosTheta) -1) (* (* alpha alpha) (PI))))))
Symmetry

(abs cosTheta)

(abs alpha)

explain173.0ms (2%)

Memory
-38.6MiB live, 331.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-cosTheta
00-0-alpha
00-0-(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
00-0-(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
00-0-(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
00-0-(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
00-0-(log.f32 (*.f32 alpha alpha))
00-0-(*.f32 alpha alpha)
00-0-(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
00-0-(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
51.0ms512×0valid
Compiler

Compiled 238 to 56 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 15.0ms (45.2% of total)
ival-log: 6.0ms (18.1% of total)
ival-div: 4.0ms (12% of total)
ival-add: 3.0ms (9% of total)
ival-sub: 3.0ms (9% of total)
ival-pi: 2.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Compiler

Compiled 26 to 13 computations (50% saved)

simplify370.0ms (4.3%)

Memory
39.2MiB live, 540.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
✓cost-diff64
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
Rules
12 798×accelerator-lowering-fma.f32
12 798×accelerator-lowering-fma.f64
4 578×*-lowering-*.f32
4 578×*-lowering-*.f64
2 370×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01391
14191
214991
362891
4269691
5444991
6774891
0859481
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
cosTheta
Outputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(- (* alpha alpha) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (- (* alpha alpha) 1) cosTheta)
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
cosTheta

localize56.0ms (0.6%)

Memory
-12.3MiB live, 79.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
✓accuracy99.4%
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
✓accuracy99.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓accuracy99.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
Samples
28.0ms256×0valid
Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (34.4% of total)
ival-add: 6.0ms (29.5% of total)
ival-log: 3.0ms (14.7% of total)
ival-div: 2.0ms (9.8% of total)
ival-pi: 1.0ms (4.9% of total)
ival-sub: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory
-2.1MiB live, 109.1MiB allocated
Counts
7 → 132
Calls
Call 1
Inputs
#<alt (- (* alpha alpha) 1)>
#<alt (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))>
#<alt (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))>
#<alt (* alpha alpha)>
#<alt (* (PI) (log (* alpha alpha)))>
#<alt (* (- (* alpha alpha) 1) cosTheta)>
#<alt (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)>
Outputs
#<alt -1>
#<alt (- (pow alpha 2) 1)>
#<alt (- (pow alpha 2) 1)>
#<alt (- (pow alpha 2) 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (+ 1 (* -1 (pow cosTheta 2)))>
#<alt (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))>
#<alt (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))>
#<alt (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (pow cosTheta 2))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (pow cosTheta 2))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))>
#<alt 1>
#<alt (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))>
#<alt (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))>
#<alt (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))>
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))>
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))>
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))>
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))>
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))>
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))>
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))>
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))>
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))>
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))>
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))>
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))>
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))>
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -1 cosTheta)>
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))>
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))>
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))>
#<alt (* (pow alpha 2) cosTheta)>
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))>
#<alt (* (pow alpha 2) cosTheta)>
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* cosTheta (- (pow alpha 2) 1))>
#<alt (* -1 (pow cosTheta 2))>
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))>
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))>
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (pow cosTheta 2))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (pow cosTheta 2))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))>
Calls

33 calls:

TimeVariablePointExpression
28.0ms
alpha
@0
(* (PI) (log (* alpha alpha)))
11.0ms
alpha
@inf
(* (PI) (log (* alpha alpha)))
7.0ms
cosTheta
@0
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms
alpha
@0
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms
alpha
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite399.0ms (4.6%)

Memory
2.0MiB live, 602.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 278×*-lowering-*.f32
6 278×*-lowering-*.f64
5 746×accelerator-lowering-fma.f32
5 746×accelerator-lowering-fma.f64
3 952×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01365
18865
275863
0843755
Stop Event
1×iter limit
1×node limit
Counts
7 → 609
Calls
Call 1
Inputs
(- (* alpha alpha) 1)
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(* alpha alpha)
(* (PI) (log (* alpha alpha)))
(* (- (* alpha alpha) 1) cosTheta)
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
Outputs
(neg.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(+.f32 (/.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))))
(+.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(+.f32 (neg.f32 (neg.f32 (*.f32 alpha alpha))) #s(literal -1 binary32))
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha))
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha)))
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32))) (*.f32 alpha (+.f32 alpha #s(literal -1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha)))
(fma.f32 alpha (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32))))
(fma.f32 (*.f32 alpha alpha) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 alpha alpha) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)) (*.f32 alpha (+.f32 alpha #s(literal -1 binary32))))
(fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))))
(fma.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha))
(fma.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (/.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 alpha alpha) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 alpha #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(fma.f32 (*.f32 #s(literal 1 binary32) alpha) alpha #s(literal -1 binary32))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha)))) (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha)))))
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (neg.f32 (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (neg.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 alpha alpha))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))) (neg.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (neg.f32 (*.f32 alpha alpha)))))
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(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32)))
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta (*.f32 alpha alpha)))
(+.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
(+.f32 (*.f32 (fma.f32 alpha cosTheta cosTheta) alpha) (*.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 1 binary32)) (*.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(+.f32 (*.f32 alpha (fma.f32 alpha cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta)))
(fma.f32 alpha (fma.f32 alpha cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta)))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 cosTheta #s(literal -1 binary32) (*.f32 cosTheta (*.f32 alpha alpha)))
(fma.f32 #s(literal -1 binary32) cosTheta (*.f32 (*.f32 alpha alpha) cosTheta))
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(fma.f32 (fma.f32 alpha cosTheta cosTheta) alpha (*.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta alpha) alpha (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta alpha) alpha (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta #s(literal 1 binary32)) (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta #s(literal 1 binary32)) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 cosTheta (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta)))
(/.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))) (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta)) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta)) (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha)) (-.f32 (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta #s(literal -1 binary32))) (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta) (-.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta)))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta #s(literal -1 binary32)))) (-.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))) (-.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta)))
(*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 cosTheta #s(literal 1 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 (/.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (*.f32 cosTheta (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal 1 binary32)))
(+.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta (*.f32 cosTheta #s(literal -1 binary32))))
(+.f32 (*.f32 cosTheta (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(+.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) cosTheta) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) cosTheta))
(+.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(fma.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 cosTheta #s(literal -1 binary32))))
(fma.f32 cosTheta (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) cosTheta (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) cosTheta))
(fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta (*.f32 (neg.f32 cosTheta) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) cosTheta)))
(/.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) cosTheta)) (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32)))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal 1 binary32)))

simplify378.0ms (4.4%)

Memory
1.5MiB live, 711.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 466×accelerator-lowering-fma.f32
8 466×accelerator-lowering-fma.f64
5 952×*-lowering-*.f32
5 952×*-lowering-*.f64
4 632×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01972350
15822290
222312197
087302075
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
-1
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* cosTheta (- (pow alpha 2) 1))
(* -1 (pow cosTheta 2))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
Outputs
-1
#s(literal -1 binary32)
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow alpha 2)
(*.f32 alpha alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow alpha 2)
(*.f32 alpha alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+ 1 (* -1 (pow cosTheta 2)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow alpha 2) (pow cosTheta 2))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) #s(literal 1 binary32))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) #s(literal 1 binary32))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) #s(literal 1 binary32))
(* (pow alpha 2) (pow cosTheta 2))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) #s(literal 1 binary32))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) #s(literal 1 binary32))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 alpha (*.f32 alpha (fma.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 alpha (*.f32 alpha (fma.f32 (*.f32 alpha alpha) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (fma.f32 cosTheta (neg.f32 cosTheta) (/.f32 (*.f32 alpha (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
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(* cosTheta (- (pow alpha 2) 1))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(* cosTheta (- (pow alpha 2) 1))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(* -1 (pow cosTheta 2))
(neg.f32 (*.f32 cosTheta cosTheta))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow alpha 2) (pow cosTheta 2))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))))
(* (pow alpha 2) (pow cosTheta 2))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))

eval82.0ms (1%)

Memory
14.9MiB live, 205.7MiB allocated
Compiler

Compiled 33 380 to 2 792 computations (91.6% saved)

prune140.0ms (1.6%)

Memory
-33.2MiB live, 357.2MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New85528883
Fresh000
Picked101
Done000
Total85628884
Accuracy
99.8%
Counts
884 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))
96.9%
(fma.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
98.2%
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶-0.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
94.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
▶98.2%
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.3%
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.3%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))))
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
97.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
98.1%
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
63.3%
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
Compiler

Compiled 2 086 to 958 computations (54.1% saved)

simplify12.0ms (0.1%)

Memory
29.7MiB live, 29.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 alpha (*.f32 alpha alpha))
✓cost-diff0
(fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
✓cost-diff0
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
✓cost-diff0
(*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓cost-diff0
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
✓cost-diff0
(*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
20×/-lowering-/.f32
20×/-lowering-/.f64
18×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047610
Stop Event
1×iter limit
1×iter limit
1×unsound
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))
(+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1)
(* (+ (* alpha alpha) -1) cosTheta)
(+ (* alpha alpha) -1)
-1
cosTheta
(* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))
(* cosTheta cosTheta)
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)
(/ (+ (* alpha alpha) -1) (* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0))))
(+ (* alpha alpha) -1)
alpha
-1
(* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0)))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(* cosTheta cosTheta)
cosTheta
1
(* (PI) (/ 0 0))
(PI)
(/ 0 0)
0
(/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (log alpha) (+ (PI) (PI)))
(log alpha)
(+ (PI) (PI))
(PI)
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
cosTheta
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))
(/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(+ (* alpha alpha) -1)
-1
(* cosTheta cosTheta)
cosTheta
(/ (/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))
(+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1)
(* alpha (* alpha alpha))
alpha
(* alpha alpha)
-1
(+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))
(+ (* alpha alpha) 1)
1
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(- (* alpha alpha) 1)
cosTheta
Outputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))
(/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1)
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32))
(* (+ (* alpha alpha) -1) cosTheta)
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
-1
#s(literal -1 binary32)
cosTheta
(* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta))
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))
(/ (+ (* alpha alpha) -1) (* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
-1
#s(literal -1 binary32)
(* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0)))
(*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)
cosTheta
1
#s(literal 1 binary32)
(* (PI) (/ 0 0))
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(PI)
(PI.f32)
(/ 0 0)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
0
#s(literal 0 binary32)
(/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(* (log alpha) (+ (PI) (PI)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(log alpha)
(log.f32 alpha)
(+ (PI) (PI))
(+.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)
cosTheta
(/ (/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1)
(fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))
(* alpha (* alpha alpha))
(*.f32 alpha (*.f32 alpha alpha))
alpha
(* alpha alpha)
(*.f32 alpha alpha)
-1
#s(literal -1 binary32)
(+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))
(fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(+ (* alpha alpha) 1)
(fma.f32 alpha alpha #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

localize204.0ms (2.4%)

Memory
-4.5MiB live, 261.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 alpha (*.f32 alpha alpha))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 alpha)
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓accuracy100.0%
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
Samples
107.0ms256×0invalid
Compiler

Compiled 612 to 49 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 35.0ms (41.8% of total)
ival-mult: 31.0ms (37.1% of total)
ival-add: 10.0ms (12% of total)
ival-log: 5.0ms (6% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (1.1%)

Memory
9.7MiB live, 163.6MiB allocated
Counts
22 → 312
Calls
Call 1
Inputs
#<alt (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))))>
#<alt (- (* alpha alpha) 1)>
#<alt (* alpha alpha)>
#<alt (* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)))>
#<alt (/ (+ (* alpha alpha) -1) (* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0))))>
#<alt (+ (* alpha alpha) -1)>
#<alt (* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0)))>
#<alt (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)>
#<alt (/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))>
#<alt (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))>
#<alt (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))>
#<alt (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))>
#<alt (/ (/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))>
#<alt (/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))>
#<alt (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1)>
#<alt (* alpha (* alpha alpha))>
#<alt (PI)>
#<alt (log (* alpha alpha))>
#<alt (* cosTheta cosTheta)>
#<alt (* (PI) (/ 0 0))>
#<alt (log alpha)>
#<alt (* (log alpha) (+ (PI) (PI)))>
Outputs
#<alt (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1)))))>
#<alt (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2))))))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* -1 (* (pow alpha 2) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))) (- (pow cosTheta 4) 1))) (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1)))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2))))))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))>
#<alt (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))>
#<alt (- (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 4) 1) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (- (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -2 (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (* -1/2 (/ (- (pow cosTheta 4) 1) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))))) (/ (* (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (- (pow cosTheta 4) 1)) (pow cosTheta 4))) (pow alpha 6))) (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 4) 1) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))>
#<alt (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))>
#<alt (- (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 4) 1) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))>
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#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))>
#<alt (/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))>
#<alt (/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))>
#<alt -1>
#<alt (- (pow alpha 2) 1)>
#<alt (- (pow alpha 2) 1)>
#<alt (- (pow alpha 2) 1)>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt -1>
#<alt (- (pow alpha 6) 1)>
#<alt (- (pow alpha 6) 1)>
#<alt (- (pow alpha 6) 1)>
#<alt (pow alpha 6)>
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))>
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))>
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))>
#<alt (pow alpha 6)>
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))>
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))>
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (pow alpha 3)>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))>
Calls

90 calls:

TimeVariablePointExpression
13.0ms
cosTheta
@0
(* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)))
8.0ms
alpha
@-inf
(log alpha)
6.0ms
alpha
@-inf
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
4.0ms
alpha
@0
(log alpha)
4.0ms
alpha
@inf
(log alpha)

rewrite17.0ms (0.2%)

Memory
-12.9MiB live, 24.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
20×/-lowering-/.f32
20×/-lowering-/.f64
18×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047325
Stop Event
1×iter limit
1×iter limit
1×unsound
Counts
22 → 25
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1))))
(- (* alpha alpha) 1)
(* alpha alpha)
(* (* (PI) (log (* alpha alpha))) (/ (+ (* (* (+ (* alpha alpha) -1) cosTheta) (* (* (+ (* alpha alpha) -1) cosTheta) (* cosTheta cosTheta))) -1) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) -1)))
(/ (+ (* alpha alpha) -1) (* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0))))
(+ (* alpha alpha) -1)
(* (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1) (* (PI) (/ 0 0)))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))
(/ (/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ (+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1) (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))
(+ (* (* alpha (* alpha alpha)) (* alpha (* alpha alpha))) -1)
(* alpha (* alpha alpha))
(PI)
(log (* alpha alpha))
(* cosTheta cosTheta)
(* (PI) (/ 0 0))
(log alpha)
(* (log alpha) (+ (PI) (PI)))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(+.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32))
(fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))
(*.f32 alpha (*.f32 alpha alpha))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 cosTheta cosTheta)
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(log.f32 alpha)
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))

simplify479.0ms (5.6%)

Memory
34.8MiB live, 748.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 798×accelerator-lowering-fma.f32
9 798×accelerator-lowering-fma.f64
8 676×*-lowering-*.f32
8 676×*-lowering-*.f64
3 828×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076110937
1256210432
090929953
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1)))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2))))))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* -1 (* (pow alpha 2) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))) (- (pow cosTheta 4) 1))) (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1)))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2))))))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (+ (* -2 (/ (- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (+ (* -1/2 (/ (- (pow cosTheta 4) 1) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
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(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (+ (pow alpha 2) (pow alpha 4)))))))
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
-1
(- (pow alpha 6) 1)
(- (pow alpha 6) 1)
(- (pow alpha 6) 1)
(pow alpha 6)
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(pow alpha 6)
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(log alpha)
(log alpha)
(log alpha)
(log alpha)
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
Outputs
(* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1)))))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2))))))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))))) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))))
(+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (* (pow alpha 2) (- (+ (* -1 (* (pow alpha 2) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))) (- (pow cosTheta 4) 1))) (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1)))))) (+ (* -2 (/ (* (pow cosTheta 4) (- (* 1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (PI) (* (log alpha) (- (pow cosTheta 4) 1))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))) (- (pow cosTheta 4) 1))) (* -1/2 (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2))))))))) (/ (* (pow cosTheta 4) (- (* -1 (pow cosTheta 2)) 1)) (* (PI) (* (log alpha) (pow (- (pow cosTheta 4) 1) 2)))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))))) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))))) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))))))) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)))) (neg.f32 (*.f32 alpha alpha)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))))))) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32) #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (pow.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) #s(literal -1 binary32))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(- (* -1/2 (/ (- (* -2 (pow cosTheta 2)) 1) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
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(* (pow alpha 2) (- (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (+ (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- (pow cosTheta 4) 1))) (* (pow alpha 4) (pow cosTheta 2)))) (* 4 (/ (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))) (pow alpha 2))))) (+ (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 2)) 1))) (pow alpha 2))) (/ (* (- (* -1 (pow cosTheta 2)) 1) (- (* 4 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (* (PI) (* (log (/ 1 alpha)) (- (* -1 (pow cosTheta 2)) 1)))))) (* (pow alpha 4) (pow cosTheta 2))))))
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(* 2 (log alpha))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* 2 (* (PI) (log alpha)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(* 2 (* (PI) (log alpha)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) #s(literal 2 binary32)))

eval120.0ms (1.4%)

Memory
-6.4MiB live, 149.3MiB allocated
Compiler

Compiled 28 294 to 896 computations (96.8% saved)

prune62.0ms (0.7%)

Memory
2.8MiB live, 162.8MiB allocated
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New68823711
Fresh91423
Picked505
Done000
Total70237739
Accuracy
99.9%
Counts
739 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
96.9%
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
97.8%
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
98.2%
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.6%
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
98.1%
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
94.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
▶-0.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
98.2%
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.3%
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶85.7%
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
44.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32)) (*.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 alpha) (*.f32 cosTheta cosTheta))))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
97.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
47.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))))))
▶98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
97.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
44.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))))
98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha)))))))
94.4%
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))
98.1%
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.8%
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
1.8%
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
63.3%
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
63.4%
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
Compiler

Compiled 2 142 to 1 182 computations (44.8% saved)

simplify12.0ms (0.1%)

Memory
-17.2MiB live, 21.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))))))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
✓cost-diff0
(*.f32 alpha (*.f32 alpha alpha))
✓cost-diff0
(fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))
✓cost-diff0
(/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
✓cost-diff0
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓cost-diff0
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓cost-diff0
(*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
✓cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓cost-diff0
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
✓cost-diff0
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
22×/-lowering-/.f32
22×/-lowering-/.f64
18×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048561
Stop Event
1×iter limit
1×iter limit
1×unsound
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))
(* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))
(+ (* alpha cosTheta) cosTheta)
cosTheta
(* (+ alpha -1) cosTheta)
(+ alpha -1)
-1
(/ (+ (* alpha alpha) -1) (* 1 (* (PI) (/ 0 0))))
(+ (* alpha alpha) -1)
alpha
-1
(* 1 (* (PI) (/ 0 0)))
1
(* (PI) (/ 0 0))
(PI)
(/ 0 0)
0
(/ (+ (* alpha alpha) -1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(+ (* alpha alpha) -1)
alpha
-1
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (log alpha) (+ (PI) (PI)))
(log alpha)
(+ (PI) (PI))
(PI)
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
1
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(- (* alpha alpha) 1)
(* alpha alpha)
cosTheta
(/ (/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))
-1
(+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))
alpha
(* alpha (* alpha alpha))
(* alpha alpha)
(+ (* alpha alpha) 1)
1
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(- (* alpha alpha) 1)
cosTheta
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))))))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))
(/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))))
(* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))
(- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))
(+ (* cosTheta cosTheta) (/ 1 (* alpha alpha)))
cosTheta
(/ 1 (* alpha alpha))
(/ (* cosTheta cosTheta) (* alpha alpha))
(* cosTheta cosTheta)
Outputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))
(* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))
(*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))
(+ (* alpha cosTheta) cosTheta)
(fma.f32 alpha cosTheta cosTheta)
cosTheta
(* (+ alpha -1) cosTheta)
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)
(+ alpha -1)
(+.f32 alpha #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(/ (+ (* alpha alpha) -1) (* 1 (* (PI) (/ 0 0))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
-1
#s(literal -1 binary32)
(* 1 (* (PI) (/ 0 0)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
1
#s(literal 1 binary32)
(* (PI) (/ 0 0))
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(PI)
(PI.f32)
(/ 0 0)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
0
#s(literal 0 binary32)
(/ (+ (* alpha alpha) -1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
-1
#s(literal -1 binary32)
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(* (log alpha) (+ (PI) (PI)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(log alpha)
(log.f32 alpha)
(+ (PI) (PI))
(+.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
1
#s(literal 1 binary32)
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
cosTheta
(/ (/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))
(/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
-1
#s(literal -1 binary32)
(+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))
(fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))
alpha
(* alpha (* alpha alpha))
(*.f32 alpha (*.f32 alpha alpha))
(* alpha alpha)
(*.f32 alpha alpha)
(+ (* alpha alpha) 1)
(fma.f32 alpha alpha #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))))))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))
(/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))))
(* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))
(*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))
(- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))
(-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(+ (* cosTheta cosTheta) (/ 1 (* alpha alpha)))
(fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
cosTheta
(/ 1 (* alpha alpha))
(/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(/ (* cosTheta cosTheta) (* alpha alpha))
(/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)

localize175.0ms (2%)

Memory
29.2MiB live, 347.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 alpha (*.f32 alpha alpha))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 alpha)
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
✓accuracy100.0%
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
✓accuracy100.0%
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
Samples
86.0ms256×0invalid
Compiler

Compiled 563 to 50 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 30.0ms (46.5% of total)
ival-div: 16.0ms (24.8% of total)
ival-add: 9.0ms (13.9% of total)
ival-log: 5.0ms (7.7% of total)
ival-sub: 2.0ms (3.1% of total)
ival-pi: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.9%)

Memory
-24.6MiB live, 50.5MiB allocated
Counts
23 → 300
Calls
Call 1
Inputs
#<alt (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))>
#<alt (- (* alpha alpha) 1)>
#<alt (* alpha alpha)>
#<alt (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))))>
#<alt (/ (+ (* alpha alpha) -1) (* 1 (* (PI) (/ 0 0))))>
#<alt (+ (* alpha alpha) -1)>
#<alt (* 1 (* (PI) (/ 0 0)))>
#<alt (* (PI) (/ 0 0))>
#<alt (/ (+ (* alpha alpha) -1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))>
#<alt (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))>
#<alt (* (log alpha) (+ (PI) (PI)))>
#<alt (/ (/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))>
#<alt (/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))>
#<alt (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))>
#<alt (* alpha (* alpha alpha))>
#<alt (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))))>
#<alt (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))))))>
#<alt (PI)>
#<alt (log (* alpha alpha))>
#<alt (* (PI) (log (* alpha alpha)))>
#<alt (/ 0 0)>
#<alt (log alpha)>
#<alt (* cosTheta cosTheta)>
Outputs
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))>
#<alt (- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* alpha (- (* alpha (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))>
#<alt (- (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))>
#<alt (- (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))>
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ cosTheta (* -1 cosTheta))) (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ cosTheta (* -1 cosTheta)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))))) cosTheta)) (pow alpha 3))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))>
#<alt (- (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ cosTheta (* -1 cosTheta)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (* alpha cosTheta))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ cosTheta (* -1 cosTheta))) (* alpha (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))>
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))>
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))>
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))>
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))>
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#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))>
#<alt (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))>
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))>
#<alt (* (PI) (log (pow alpha 2)))>
#<alt (+ (* (PI) (log (pow alpha 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))>
#<alt (+ (* (PI) (log (pow alpha 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))>
#<alt (+ (* (PI) (log (pow alpha 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))>
#<alt (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))))>
#<alt (* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))>
#<alt (* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))>
#<alt (* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))>
#<alt (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))))>
#<alt (* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))>
#<alt (* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))>
#<alt (* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* 2 (* (PI) (log alpha)))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ 1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (* -2 (* (PI) (log (/ -1 alpha))))>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (log alpha)>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (* -1 (log (/ 1 alpha)))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
Calls

78 calls:

TimeVariablePointExpression
20.0ms
cosTheta
@-inf
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))
20.0ms
cosTheta
@inf
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))))
4.0ms
cosTheta
@0
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))
2.0ms
cosTheta
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))))
2.0ms
cosTheta
@inf
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))

rewrite15.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
22×/-lowering-/.f32
22×/-lowering-/.f64
18×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048275
Stop Event
1×iter limit
1×iter limit
1×unsound
Counts
23 → 25
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta)))))
(- (* alpha alpha) 1)
(* alpha alpha)
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (+ (* alpha cosTheta) cosTheta) (* (+ alpha -1) cosTheta))))
(/ (+ (* alpha alpha) -1) (* 1 (* (PI) (/ 0 0))))
(+ (* alpha alpha) -1)
(* 1 (* (PI) (/ 0 0)))
(* (PI) (/ 0 0))
(/ (+ (* alpha alpha) -1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (log alpha) (+ (PI) (PI)))
(/ (/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ -1 (+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1)))
(+ (* alpha (* alpha (* alpha alpha))) (+ (* alpha alpha) 1))
(* alpha (* alpha alpha))
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha))))))))
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (* (* alpha alpha) (- (+ (* cosTheta cosTheta) (/ 1 (* alpha alpha))) (/ (* cosTheta cosTheta) (* alpha alpha)))))))
(PI)
(log (* alpha alpha))
(* (PI) (log (* alpha alpha)))
(/ 0 0)
(log alpha)
(* cosTheta cosTheta)
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(+.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(*.f32 alpha (*.f32 alpha alpha))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))))))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
(log.f32 alpha)
(*.f32 cosTheta cosTheta)

simplify440.0ms (5.1%)

Memory
-29.7MiB live, 714.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 038×*-lowering-*.f32
8 038×*-lowering-*.f64
7 824×accelerator-lowering-fma.f32
7 824×accelerator-lowering-fma.f64
3 826×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08659994
130289362
094459074
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* alpha (- (* alpha (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ (* (pow cosTheta 3) (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (* cosTheta (* (+ cosTheta (* -1 cosTheta)) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ cosTheta (* -1 cosTheta))) (* (pow cosTheta 5) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ cosTheta (* -1 cosTheta)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))))) cosTheta)) (pow alpha 3))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* alpha (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ cosTheta (* -1 cosTheta)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (* alpha cosTheta))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ cosTheta (* -1 cosTheta))) (* alpha (* (pow cosTheta 5) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ cosTheta (* -1 cosTheta)) 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) alpha)) (* 1/2 (/ (+ cosTheta (* -1 cosTheta)) (* (pow cosTheta 3) (* (PI) (log (/ -1 alpha))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))
(* -1 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 3) (pow (- (* -1 alpha) 1) 3)))))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 3) (pow (- (* -1 alpha) 1) 3)))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (* (- alpha 1) (- (* -1 alpha) 1)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 4) (pow (- (* -1 alpha) 1) 4)))))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (* (pow cosTheta 4) (* (- alpha 1) (- (* -1 alpha) 1))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 2) (pow (- (* -1 alpha) 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (- alpha 1) 4) (pow (- (* -1 alpha) 1) 4))))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))
(/ -1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))))
(/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))
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-1
(- (pow alpha 2) 1)
(- (* (pow alpha 2) (+ 1 (* -1 (pow alpha 4)))) 1)
(- (* (pow alpha 2) (+ 1 (* (pow alpha 4) (- (pow alpha 2) 1)))) 1)
(/ -1 (pow alpha 4))
(/ (- (/ 1 (pow alpha 2)) 1) (pow alpha 4))
(/ (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 6)))) (pow alpha 4))
(/ (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 8))) (+ 1 (/ 1 (pow alpha 6)))) (pow alpha 4))
(/ -1 (pow alpha 4))
(/ (- (/ 1 (pow alpha 2)) 1) (pow alpha 4))
(/ (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 6)))) (pow alpha 4))
(/ (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 8))) (+ 1 (/ 1 (pow alpha 6)))) (pow alpha 4))
1
(+ 1 (pow alpha 2))
(+ 1 (* (pow alpha 2) (+ 1 (pow alpha 2))))
(+ 1 (* (pow alpha 2) (+ 1 (pow alpha 2))))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (/ 1 (pow alpha 2))))
(* (pow alpha 4) (+ 1 (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 4)))))
(* (pow alpha 4) (+ 1 (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 4)))))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (/ 1 (pow alpha 2))))
(* (pow alpha 4) (+ 1 (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 4)))))
(* (pow alpha 4) (+ 1 (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 4)))))
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(pow alpha 3)
(/ -1/2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- 1 (pow cosTheta 2)) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- 1 (pow cosTheta 2)) 2)))))))) (- 1 (pow cosTheta 2)))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- 1 (pow cosTheta 2)) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- 1 (pow cosTheta 2)) 2)))))))) (pow (- 1 (pow cosTheta 2)) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- 1 (pow cosTheta 2)) 2))))))) (- 1 (pow cosTheta 2)))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- 1 (pow cosTheta 2)) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (- 1 (pow cosTheta 2)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (- 1 (pow cosTheta 2)) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (- 1 (pow cosTheta 2)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (- 1 (pow cosTheta 2)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (- 1 (pow cosTheta 2)) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (- 1 (pow cosTheta 2)) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (* (- 1 (/ 1 (pow alpha 2))) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow alpha 4) (* (pow cosTheta 2) (* (pow (- 1 (/ 1 (pow alpha 2))) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (pow alpha 2) (* (- 1 (/ 1 (pow alpha 2))) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow alpha 6) (* (pow cosTheta 2) (* (pow (- 1 (/ 1 (pow alpha 2))) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow alpha 4) (* (pow (- 1 (/ 1 (pow alpha 2))) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (pow alpha 2) (* (- 1 (/ 1 (pow alpha 2))) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))
(/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2))))))) (+ (/ 1 (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3)))))))) (+ (/ 1 (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (/ 1 (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3)))))) (/ 1 (* (pow alpha 8) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 4))))))))) (+ (/ 1 (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (+ (/ 1 (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3)))))) (/ 1 (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 4)))))))))) (pow cosTheta 2))
(/ (- (pow alpha 2) 1) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))
(/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2))))))) (+ (/ 1 (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3)))))))) (+ (/ 1 (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (/ 1 (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3)))))) (/ 1 (* (pow alpha 8) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 4))))))))) (+ (/ 1 (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 2)))))) (+ (/ 1 (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 3)))))) (/ 1 (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- 1 (/ 1 (pow alpha 2))) 4)))))))))) (pow cosTheta 2))
(* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))
(+ (* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(+ (* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(+ (* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (- 1 (pow cosTheta 2)))) (pow alpha 2)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))
(+ (* (PI) (log (pow alpha 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))
(+ (* (PI) (log (pow alpha 2))) (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2))))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* 2 (* (PI) (log alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(* -2 (* (PI) (log (/ -1 alpha))))
(log alpha)
(log alpha)
(log alpha)
(log alpha)
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
Outputs
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(- (* 1/2 (/ (* alpha (* cosTheta (+ cosTheta (* -1 cosTheta)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 alpha (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))
(- (* alpha (- (* alpha (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (+ cosTheta (* -1 cosTheta)) 2)) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (* cosTheta (+ cosTheta (* -1 cosTheta))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))))
(*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(* (pow cosTheta 2) (+ (* (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (- 1 (/ 1 (pow alpha 2)))))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))))))
(* 2 (log alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(* 2 (log alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(* 2 (log alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(* 2 (log alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* 2 (* (PI) (log alpha)))
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* (PI) (log alpha)))
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* (PI) (log alpha)))
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* (PI) (log alpha)))
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ 1 alpha))))
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ -1 alpha))))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ -1 alpha))))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ -1 alpha))))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(* -2 (* (PI) (log (/ -1 alpha))))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32)))
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(log alpha)
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)

eval50.0ms (0.6%)

Memory
-11.9MiB live, 105.0MiB allocated
Compiler

Compiled 21 996 to 841 computations (96.2% saved)

prune64.0ms (0.7%)

Memory
2.3MiB live, 162.2MiB allocated
Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New54916565
Fresh62632
Picked505
Done000
Total56042602
Accuracy
99.9%
Counts
602 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
97.8%
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
98.2%
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.6%
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
98.1%
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
▶98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
98.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
94.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
94.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
98.3%
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.1%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
85.4%
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
79.5%
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
85.3%
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
47.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))))))
▶97.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
44.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))))
98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
94.4%
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))
98.1%
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
97.8%
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
1.8%
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
1.8%
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
63.3%
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
63.4%
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
63.3%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
83.0%
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
▶-0.0%
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
Compiler

Compiled 2 332 to 1 310 computations (43.8% saved)

simplify10.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))
✓cost-diff0
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
✓cost-diff0
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32))))
✓cost-diff0
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓cost-diff0
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
✓cost-diff0
(fma.f32 alpha alpha #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
✓cost-diff0
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓cost-diff0
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓cost-diff0
(fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta))))
✓cost-diff0
(*.f32 alpha alpha)
✓cost-diff0
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
Rules
34×*-lowering-*.f32
34×*-lowering-*.f64
18×/-lowering-/.f32
18×/-lowering-/.f64
16×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043475
Stop Event
1×iter limit
1×iter limit
1×unsound
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta))))
(PI)
(log (* alpha alpha))
(* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))
(* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta))
(* (+ (* alpha alpha) -1) (log (* alpha alpha)))
(+ (* alpha alpha) -1)
-1
(* cosTheta cosTheta)
cosTheta
(/ -1 (* 1 (* (PI) (/ 0 0))))
-1
(* 1 (* (PI) (/ 0 0)))
1
(* (PI) (/ 0 0))
(PI)
(/ 0 0)
0
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta))))
(- (* alpha alpha) 1)
(* alpha alpha)
alpha
1
(* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta)))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(- 1 (* cosTheta cosTheta))
(* cosTheta cosTheta)
cosTheta
(/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))
(+ (* alpha alpha) -1)
alpha
-1
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(* alpha alpha)
(/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))
1
(/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(* cosTheta cosTheta)
cosTheta
(/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1)))
(* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1))
(+ (* alpha (* alpha alpha)) -1)
alpha
(* alpha alpha)
-1
(+ (* alpha alpha) -1)
(* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))
(+ (+ (* alpha alpha) 1) alpha)
(+ (* alpha alpha) 1)
1
(+ alpha -1)
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(PI)
(log (* alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(- (* alpha alpha) 1)
cosTheta
Outputs
(/ (- (* alpha alpha) 1) (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta))))
(fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta))))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))
(*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))
(* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta))
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta))
(* (+ (* alpha alpha) -1) (log (* alpha alpha)))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)
cosTheta
(/ -1 (* 1 (* (PI) (/ 0 0))))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
-1
#s(literal -1 binary32)
(* 1 (* (PI) (/ 0 0)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
1
#s(literal 1 binary32)
(* (PI) (/ 0 0))
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(PI)
(PI.f32)
(/ 0 0)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
0
#s(literal 0 binary32)
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(* alpha alpha)
(*.f32 alpha alpha)
alpha
1
#s(literal 1 binary32)
(* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(- 1 (* cosTheta cosTheta))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)
cosTheta
(/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
-1
#s(literal -1 binary32)
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(* alpha alpha)
(*.f32 alpha alpha)
(/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(* cosTheta cosTheta)
(*.f32 cosTheta cosTheta)
cosTheta
(/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1)))
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32))))
(* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1))
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(+ (* alpha (* alpha alpha)) -1)
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))
alpha
(* alpha alpha)
(*.f32 alpha alpha)
-1
#s(literal -1 binary32)
(+ (* alpha alpha) -1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))
(*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))
(+ (+ (* alpha alpha) 1) alpha)
(+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)
(+ (* alpha alpha) 1)
(fma.f32 alpha alpha #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ alpha -1)
(+.f32 alpha #s(literal -1 binary32))
(* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(* (PI) (log (* alpha alpha)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI)
(PI.f32)
(log (* alpha alpha))
(log.f32 (*.f32 alpha alpha))
(+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(* (* (- (* alpha alpha) 1) cosTheta) cosTheta)
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(* (- (* alpha alpha) 1) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(- (* alpha alpha) 1)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

localize173.0ms (2%)

Memory
-9.1MiB live, 271.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓accuracy100.0%
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
✓accuracy100.0%
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 cosTheta cosTheta)
✓accuracy100.0%
(*.f32 alpha alpha)
✓accuracy100.0%
(log.f32 (*.f32 alpha alpha))
✓accuracy6.3%
(PI.f32)
Samples
103.0ms256×0invalid
Compiler

Compiled 477 to 45 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-div: 35.0ms (42.5% of total)
ival-mult: 24.0ms (29.1% of total)
ival-sub: 10.0ms (12.1% of total)
ival-add: 8.0ms (9.7% of total)
ival-log: 3.0ms (3.6% of total)
ival-pi: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory
-1.4MiB live, 39.9MiB allocated
Counts
20 → 276
Calls
Call 1
Inputs
#<alt (/ (- (* alpha alpha) 1) (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))))>
#<alt (- (* alpha alpha) 1)>
#<alt (* alpha alpha)>
#<alt (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta))))>
#<alt (/ -1 (* 1 (* (PI) (/ 0 0))))>
#<alt (* 1 (* (PI) (/ 0 0)))>
#<alt (* (PI) (/ 0 0))>
#<alt (PI)>
#<alt (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta))))>
#<alt (* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta)))>
#<alt (/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))>
#<alt (+ (* alpha alpha) -1)>
#<alt (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))>
#<alt (* (PI) (log (* alpha alpha)))>
#<alt (/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))>
#<alt (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1)))>
#<alt (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1))>
#<alt (+ (* alpha (* alpha alpha)) -1)>
#<alt (log (* alpha alpha))>
#<alt (* cosTheta cosTheta)>
Outputs
#<alt (/ -1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))>
#<alt (- (* (pow alpha 2) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))>
#<alt (- (* (pow alpha 2) (- (+ (* -2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2)))))))) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))>
#<alt (- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (* 4 (/ (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (* (pow (log alpha) 2) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2)))))))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))))) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))>
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))>
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))>
#<alt (- (+ (* 1/2 (/ (* (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2))))))) (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))>
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#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow alpha 2)))>
#<alt (+ 1 (* (pow alpha 2) (- (* -1 alpha) 1)))>
#<alt (+ 1 (* (pow alpha 2) (- (* alpha (- (pow alpha 2) 1)) 1)))>
#<alt (pow alpha 5)>
#<alt (* (pow alpha 5) (- 1 (/ 1 (pow alpha 2))))>
#<alt (* (pow alpha 5) (+ 1 (* -1 (/ (+ 1 (/ 1 alpha)) (pow alpha 2)))))>
#<alt (* (pow alpha 5) (- (+ 1 (/ 1 (pow alpha 5))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 3)))))>
#<alt (pow alpha 5)>
#<alt (* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))>
#<alt (* -1 (* (pow alpha 5) (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 3))) 1)))>
#<alt (* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- (/ 1 (pow alpha 2)) 1) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))>
#<alt -1>
#<alt (- (pow alpha 3) 1)>
#<alt (- (pow alpha 3) 1)>
#<alt (- (pow alpha 3) 1)>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))>
#<alt (* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))>
#<alt (* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))>
#<alt (pow alpha 3)>
#<alt (* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* 2 (log alpha))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ 1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (* -2 (log (/ -1 alpha)))>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
#<alt (pow cosTheta 2)>
Calls

69 calls:

TimeVariablePointExpression
16.0ms
alpha
@0
(/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms
cosTheta
@inf
(/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
2.0ms
alpha
@inf
(/ (- (* alpha alpha) 1) (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))))
2.0ms
alpha
@0
(/ (- (* alpha alpha) 1) (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))))
2.0ms
cosTheta
@0
(/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite33.0ms (0.4%)

Memory
-9.5MiB live, 29.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
34×*-lowering-*.f32
34×*-lowering-*.f64
18×/-lowering-/.f32
18×/-lowering-/.f64
16×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043250
Stop Event
1×iter limit
1×iter limit
1×unsound
Counts
20 → 23
Calls
Call 1
Inputs
(/ (- (* alpha alpha) 1) (+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta)))))
(- (* alpha alpha) 1)
(* alpha alpha)
(+ (* (PI) (log (* alpha alpha))) (* (PI) (* (* (+ (* alpha alpha) -1) (log (* alpha alpha))) (* cosTheta cosTheta))))
(/ -1 (* 1 (* (PI) (/ 0 0))))
(* 1 (* (PI) (/ 0 0)))
(* (PI) (/ 0 0))
(PI)
(/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta))))
(* (* (PI) (log (* alpha alpha))) (- 1 (* cosTheta cosTheta)))
(/ (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)))))
(+ (* alpha alpha) -1)
(* (* (PI) (log (* alpha alpha))) (/ 1 (/ 1 (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))))
(* (PI) (log (* alpha alpha)))
(/ (/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
(/ (* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1)) (* (+ (+ (* alpha alpha) 1) alpha) (+ alpha -1)))
(* (+ (* alpha (* alpha alpha)) -1) (+ (* alpha alpha) -1))
(+ (* alpha (* alpha alpha)) -1)
(log (* alpha alpha))
(* cosTheta cosTheta)
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(+.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta))))
(fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(PI.f32)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32))))
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(+.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))
(log.f32 (*.f32 alpha alpha))
(*.f32 cosTheta cosTheta)

simplify540.0ms (6.3%)

Memory
30.2MiB live, 583.5MiB allocated
Algorithm
1×egg-herbie
Rules
6 558×*-lowering-*.f32
6 558×*-lowering-*.f64
5 628×accelerator-lowering-fma.f32
5 628×accelerator-lowering-fma.f64
3 768×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05249096
116738644
273358598
081288241
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ -1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))
(- (* (pow alpha 2) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))
(- (* (pow alpha 2) (- (+ (* -2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2)))))))) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (* 4 (/ (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (* (pow (log alpha) 2) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2)))))))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))))) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* 1/2 (/ (* (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2))))))) (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* 1/4 (/ (* (pow (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2))))))) (* (pow alpha 6) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2))))))) (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* 1/2 (/ (* (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2))))))) (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* 1/4 (/ (* (pow (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2))))))) (* (pow alpha 6) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2)))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/4 (/ (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2))))))) (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ -1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ -1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))))
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))))
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (+ (* -2 (/ (* (PI) (log (/ 1 alpha))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))) (pow alpha 2))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (+ (* -2 (/ (* (PI) (log (/ 1 alpha))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))) (pow alpha 2))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (+ (* -2 (/ (* (PI) (log (/ 1 alpha))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))) (pow alpha 2))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (+ (* -2 (/ (* (PI) (log (/ -1 alpha))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))) (pow alpha 2))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (+ (* -2 (/ (* (PI) (log (/ -1 alpha))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))) (pow alpha 2))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (+ (* -2 (/ (* (PI) (log (/ -1 alpha))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))) (pow alpha 2))))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
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(- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (pow alpha 5))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(/ (* (- (pow alpha 2) 1) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1)))))
(+ (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 3) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1)))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))
(+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 3) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))
(+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 4) (- (pow alpha 3) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1)))))))) (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))
(/ (- (pow alpha 3) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))) (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1)))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3))))))))))) (pow cosTheta 2))
(/ (- (pow alpha 3) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))) (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1)))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3))))))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(- (pow alpha 2) 1)
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(pow alpha 2)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
1
(+ 1 (* -1 (pow alpha 2)))
(+ 1 (* (pow alpha 2) (- (* -1 alpha) 1)))
(+ 1 (* (pow alpha 2) (- (* alpha (- (pow alpha 2) 1)) 1)))
(pow alpha 5)
(* (pow alpha 5) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 5) (+ 1 (* -1 (/ (+ 1 (/ 1 alpha)) (pow alpha 2)))))
(* (pow alpha 5) (- (+ 1 (/ 1 (pow alpha 5))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 3)))))
(pow alpha 5)
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))
(* -1 (* (pow alpha 5) (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 3))) 1)))
(* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- (/ 1 (pow alpha 2)) 1) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))
-1
(- (pow alpha 3) 1)
(- (pow alpha 3) 1)
(- (pow alpha 3) 1)
(pow alpha 3)
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* 2 (log alpha))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ 1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(* -2 (log (/ -1 alpha)))
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
(pow cosTheta 2)
Outputs
(/ -1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))))
(- (* (pow alpha 2) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))
(- (* (pow alpha 2) (- (+ (* -2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2)))))))) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 alpha alpha)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (* 4 (/ (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (* (pow (log alpha) 2) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2)))))))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))))) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))))) (* -2 (/ (* (pow cosTheta 2) (* (PI) (log alpha))) (pow (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) 2))))) (/ 1 (+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha))))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) (*.f32 #s(literal 4 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (pow.f32 (log.f32 alpha) #s(literal 2 binary32))))) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))) (/.f32 (*.f32 alpha alpha) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32)))))) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 (PI.f32) (log.f32 alpha)))) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* 1/4 (/ (+ (* -2 (* (PI) (log (/ 1 alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* (pow alpha 2) (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log (/ 1 alpha)) 2)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 alpha alpha)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (pow.f32 (log.f32 alpha) #s(literal 2 binary32))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))))))
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))) (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1)))))))))) (pow cosTheta 2))
(/.f32 (-.f32 (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) alpha)))))))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3))))))) (+ (/ (pow alpha 3) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (/ (pow alpha 3) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ (pow alpha 3) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (- (pow alpha 2) 1))))))) (/ (pow alpha 3) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3))))))))))) (pow cosTheta 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))) (-.f32 (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) alpha))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) alpha)))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))))))) (+.f32 (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) alpha)))))) (fma.f32 alpha (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) alpha)))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32)))))))) (*.f32 cosTheta cosTheta))
-1
#s(literal -1 binary32)
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow alpha 2)
(*.f32 alpha alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(pow alpha 2)
(*.f32 alpha alpha)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow alpha 2)))
(fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32))
(+ 1 (* (pow alpha 2) (- (* -1 alpha) 1)))
(fma.f32 (*.f32 alpha alpha) (-.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32))
(+ 1 (* (pow alpha 2) (- (* alpha (- (pow alpha 2) 1)) 1)))
(fma.f32 (*.f32 alpha alpha) (fma.f32 alpha (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow alpha 5)
(pow.f32 alpha #s(literal 5 binary32))
(* (pow alpha 5) (- 1 (/ 1 (pow alpha 2))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (pow.f32 alpha #s(literal 5 binary32)))
(* (pow alpha 5) (+ 1 (* -1 (/ (+ 1 (/ 1 alpha)) (pow alpha 2)))))
(*.f32 (pow.f32 alpha #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha alpha))))
(* (pow alpha 5) (- (+ 1 (/ 1 (pow alpha 5))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 3)))))
(*.f32 (pow.f32 alpha #s(literal 5 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 5 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha)))))
(pow alpha 5)
(pow.f32 alpha #s(literal 5 binary32))
(* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (pow.f32 alpha #s(literal 5 binary32)))
(* -1 (* (pow alpha 5) (- (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 3))) 1)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (neg.f32 (pow.f32 alpha #s(literal 5 binary32))))
(* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- (/ 1 (pow alpha 2)) 1) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))
(*.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 alpha (*.f32 alpha alpha)))) (neg.f32 (pow.f32 alpha #s(literal 5 binary32))))
-1
#s(literal -1 binary32)
(- (pow alpha 3) 1)
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))
(- (pow alpha 3) 1)
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))
(- (pow alpha 3) 1)
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))
(pow alpha 3)
(*.f32 alpha (*.f32 alpha alpha))
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha)))))
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha)))))
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha)))))
(pow alpha 3)
(*.f32 alpha (*.f32 alpha alpha))
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha)))) (neg.f32 (*.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha)))) (neg.f32 (*.f32 alpha (*.f32 alpha alpha))))
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha)))) (neg.f32 (*.f32 alpha (*.f32 alpha alpha))))
(* 2 (log alpha))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(* 2 (log alpha))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(* 2 (log alpha))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(* 2 (log alpha))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ 1 alpha)))
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(* -2 (log (/ -1 alpha)))
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)
(pow cosTheta 2)
(*.f32 cosTheta cosTheta)

eval71.0ms (0.8%)

Memory
4.3MiB live, 81.4MiB allocated
Compiler

Compiled 20 475 to 668 computations (96.7% saved)

prune136.0ms (1.6%)

Memory
-12.8MiB live, 106.0MiB allocated
Pruning

46 alts after pruning (44 fresh and 2 done)

PrunedKeptTotal
New56515580
Fresh82937
Picked325
Done000
Total57646622
Accuracy
100.0%
Counts
622 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
97.8%
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
97.0%
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
98.2%
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.6%
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
98.1%
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
97.2%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
✓98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
97.1%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
98.4%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
94.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
94.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
73.9%
(/.f32 (/.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
96.7%
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
97.2%
(/.f32 (/.f32 (*.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 alpha (*.f32 alpha alpha)))) (neg.f32 (pow.f32 alpha #s(literal 5 binary32)))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
85.4%
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
79.5%
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
98.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
47.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))))))
42.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
94.4%
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))
98.1%
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.0%
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))))
98.0%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
96.8%
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
98.0%
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.8%
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.9%
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
1.8%
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
1.8%
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
63.3%
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
63.4%
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
63.3%
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
83.0%
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
✓-0.0%
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
96.3%
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
96.7%
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
Compiler

Compiled 3 740 to 1 075 computations (71.3% saved)

regimes127.0ms (1.5%)

Memory
21.7MiB live, 94.2MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))))))
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32)) (*.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 alpha) (*.f32 cosTheta cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha)))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))))
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(fma.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(fma.f32 (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))
(/.f32 (/.f32 (*.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 alpha (*.f32 alpha alpha)))) (neg.f32 (pow.f32 alpha #s(literal 5 binary32)))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
Calls

4 calls:

44.0ms
alpha
38.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
21.0ms
(*.f32 alpha alpha)
21.0ms
cosTheta
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1alpha
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes118.0ms (1.4%)

Memory
-21.5MiB live, 97.1MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))))))
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (-.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))))))))
(/.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
Calls

4 calls:

58.0ms
(*.f32 alpha alpha)
24.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
17.0ms
cosTheta
16.0ms
alpha
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1alpha
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes102.0ms (1.2%)

Memory
24.1MiB live, 97.2MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) alpha) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha (neg.f32 alpha) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))))))
(/.f32 (*.f32 alpha (*.f32 alpha (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
Calls

4 calls:

37.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
36.0ms
cosTheta
14.0ms
alpha
13.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1alpha
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes75.0ms (0.9%)

Memory
-28.4MiB live, 60.5MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
Calls

4 calls:

36.0ms
(*.f32 alpha alpha)
24.0ms
cosTheta
7.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
7.0ms
alpha
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1alpha
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes29.0ms (0.3%)

Memory
17.3MiB live, 55.9MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
Calls

4 calls:

10.0ms
alpha
6.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
6.0ms
(*.f32 alpha alpha)
6.0ms
cosTheta
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1alpha
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes25.0ms (0.3%)

Memory
14.5MiB live, 51.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha (*.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32)) (PI.f32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
Calls

4 calls:

7.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
6.0ms
alpha
6.0ms
(*.f32 alpha alpha)
5.0ms
cosTheta
Results
AccuracySegmentsBranch
97.2%1cosTheta
97.2%1alpha
97.2%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.2%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes41.0ms (0.5%)

Memory
-0.6MiB live, 39.9MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
Calls

4 calls:

24.0ms
cosTheta
5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms
(*.f32 alpha alpha)
5.0ms
alpha
Results
AccuracySegmentsBranch
97.2%1alpha
97.2%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.2%1(*.f32 alpha alpha)
97.2%1cosTheta
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes48.0ms (0.6%)

Memory
0.8MiB live, 39.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
Calls

4 calls:

33.0ms
(*.f32 alpha alpha)
5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms
alpha
5.0ms
cosTheta
Results
AccuracySegmentsBranch
97.1%1cosTheta
97.1%1alpha
97.1%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.1%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes31.0ms (0.4%)

Memory
2.3MiB live, 39.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
Calls

4 calls:

16.0ms
cosTheta
5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms
alpha
5.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
96.3%1alpha
96.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
96.3%1(*.f32 alpha alpha)
96.3%1cosTheta
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes31.0ms (0.4%)

Memory
2.0MiB live, 39.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32)))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
Calls

4 calls:

17.0ms
(*.f32 alpha alpha)
4.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
4.0ms
cosTheta
4.0ms
alpha
Results
AccuracySegmentsBranch
94.6%1cosTheta
94.6%1alpha
94.6%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.6%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes19.0ms (0.2%)

Memory
-3.6MiB live, 36.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
Calls

4 calls:

10.0ms
(*.f32 alpha alpha)
3.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms
alpha
3.0ms
cosTheta
Results
AccuracySegmentsBranch
94.5%1cosTheta
94.5%1alpha
94.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.5%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes13.0ms (0.2%)

Memory
-4.7MiB live, 34.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (log.f32 alpha))))
Outputs
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
Calls

4 calls:

5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms
alpha
2.0ms
cosTheta
2.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
1.8%1cosTheta
1.8%1alpha
1.8%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.8%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes74.0ms (0.9%)

Memory
-7.4MiB live, 32.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
Outputs
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
Calls

4 calls:

2.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms
alpha
2.0ms
(*.f32 alpha alpha)
2.0ms
cosTheta
Results
AccuracySegmentsBranch
-0.0%1cosTheta
-0.0%1alpha
-0.0%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
-0.0%1(*.f32 alpha alpha)
Compiler

Compiled 37 to 20 computations (45.9% saved)

simplify36.0ms (0.4%)

Memory
-15.2MiB live, 23.9MiB allocated
Algorithm
1×egg-herbie
Rules
54×*-commutative_binary32
16×+-commutative_binary32
10×sub-neg_binary32
6×neg-sub0_binary32
6×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065244
1103244
2112244
3120244
4121244
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) #s(literal -1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 cosTheta (+.f32 alpha #s(literal -1 binary32)))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))

soundness1.1s (13.1%)

Memory
47.3MiB live, 1 315.5MiB allocated
Rules
9 798×accelerator-lowering-fma.f32
9 798×accelerator-lowering-fma.f64
8 676×*-lowering-*.f32
8 676×*-lowering-*.f64
8 466×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01365
18865
275863
0843755
01972350
15822290
222312197
087302075
08659994
130289362
094459074
076110937
1256210432
090929953
05249096
116738644
273358598
081288241
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 741 to 375 computations (49.4% saved)

preprocess135.0ms (1.6%)

Memory
-20.5MiB live, 186.2MiB allocated
Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 472 to 602 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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