Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze309.0ms (3.5%)

Memory
9.9MiB live, 532.8MiB allocated; 94ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.9s (21.7%)

Memory
67.1MiB live, 2 590.1MiB allocated; 529ms collecting garbage
Samples
1.4s8 256×0valid
1.0ms5×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
const: 455.0ms (42.1% of total)
ival-mult: 139.0ms (12.9% of total)
ival-cos: 113.0ms (10.4% of total)
ival-<=: 106.0ms (9.8% of total)
ival-div: 82.0ms (7.6% of total)
ival-sqrt: 68.0ms (6.3% of total)
ival-sub: 49.0ms (4.5% of total)
ival-and: 34.0ms (3.1% of total)
ival->: 24.0ms (2.2% of total)
exact: 5.0ms (0.5% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain584.0ms (6.6%)

Memory
-2.6MiB live, 235.7MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-1(0.9999825954437256 4.913079720836322e-9 0.7406430840492249)(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f32(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))sensitivity14
Confusion
Predicted +Predicted -
+11
-0254
Precision
1.0
Recall
0.5
Confusion?
Predicted +Predicted MaybePredicted -
+110
-03251
Precision?
0.4
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 13.0ms (34.5% of total)
const: 8.0ms (21.2% of total)
ival-mult: 6.0ms (15.9% of total)
ival-div: 4.0ms (10.6% of total)
ival-sub: 3.0ms (8% of total)
ival-sqrt: 3.0ms (8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess226.0ms (2.5%)

Memory
28.4MiB live, 231.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
179106
2141106
3225104
4380102
5915102
66416102
01011
01611
12711
24311
36511
411511
536811
6284711
7797611
0829811
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 11 to 11 computations (0% saved)

series24.0ms (0.3%)

Memory
-7.9MiB live, 41.7MiB allocated; 5ms collecting garbage
Counts
10 → 47
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
u2
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
4.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)

simplify207.0ms (2.3%)

Memory
-23.6MiB live, 161.9MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193804
1663714
22938699
08692657
Stop Event
1×iter limit
1×node limit
Counts
47 → 45
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
u2
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1/2 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/8 binary32) u1))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) u1)) u1))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u2
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))

rewrite39.0ms (0.4%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
14936
025036
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
10 → 38
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

eval7.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 767 to 367 computations (79.2% saved)

prune518.0ms (5.8%)

Memory
-32.6MiB live, 13.6MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New671784
Fresh000
Picked011
Done000
Total671885
Accuracy
99.8%
Counts
85 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶99.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
90.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
▶98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶89.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶78.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 721 to 555 computations (23% saved)

series20.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
40 → 106
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(- (/ 1 u1) 1)
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
u2
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(pow u2 2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) -314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (+ (* u1 u1) u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
3.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) -314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (+ (* u1 u1) u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
3.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) -314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (+ (* u1 u1) u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
3.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) -314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (+ (* u1 u1) u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))
2.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) -314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (+ (* u1 u1) u1) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1))

simplify200.0ms (2.2%)

Memory
26.2MiB live, 209.9MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351815
111551667
250731649
083381540
Stop Event
1×iter limit
1×node limit
Counts
106 → 104
Calls
Call 1
Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(- (/ 1 u1) 1)
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
u2
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(pow u2 2)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3/8 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) u1) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
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(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* -314159265359/50000000000 u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32))) (/.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (+.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))) (pow.f32 u2 #s(literal 6 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (pow.f32 u2 #s(literal 4 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2)
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 (neg.f32 u2) #s(literal 3 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

rewrite194.0ms (2.2%)

Memory
-11.2MiB live, 81.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046315
080309
1259309
01709309
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
40 → 291
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
Outputs
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
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(+.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) u1)
(*.f32 u1 (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 u1 (*.f32 u1 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))) (neg.f32 (-.f32 (*.f32 u1 u1) u1)))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)) (-.f32 (*.f32 u1 u1) u1))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 u1 u1 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 (*.f32 u1 u1) u1)) (/.f32 (*.f32 u1 u1) (-.f32 (*.f32 u1 u1) u1)))
(-.f32 (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) u1))
(-.f32 u1 (*.f32 (neg.f32 (neg.f32 u1)) (neg.f32 u1)))
(-.f32 u1 (*.f32 (neg.f32 (fabs.f32 u1)) (fabs.f32 u1)))
(-.f32 u1 (*.f32 (neg.f32 u1) u1))
(-.f32 u1 (*.f32 u1 (neg.f32 u1)))
(fma.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 u1)) u1)
(fma.f32 (neg.f32 (fabs.f32 u1)) (neg.f32 (fabs.f32 u1)) u1)
(fma.f32 (fabs.f32 (fabs.f32 u1)) (fabs.f32 (fabs.f32 u1)) u1)
(fma.f32 (pow.f32 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 1 binary32)) u1)
(fma.f32 (pow.f32 u1 #s(literal 1 binary32)) u1 u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
(fma.f32 (fabs.f32 u1) (fabs.f32 u1) u1)
(fma.f32 u1 u1 u1)
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 #s(literal 4 binary32)))))
(+.f32 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 u1 u1))
(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(*.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(/.f32 (neg.f32 u1) (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
(neg.f32 (/.f32 (neg.f32 u1) #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(neg.f32 (/.f32 u1 (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) u1) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(expm1.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 (pow.f32 u1 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 u1))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) u1)
(pow.f32 u1 #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) u1))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)))

eval101.0ms (1.1%)

Memory
-45.5MiB live, 56.6MiB allocated; 53ms collecting garbage
Compiler

Compiled 15 035 to 2 044 computations (86.4% saved)

prune101.0ms (1.1%)

Memory
-12.3MiB live, 77.0MiB allocated; 10ms collecting garbage
Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New47733510
Fresh7512
Picked235
Done011
Total48642528
Accuracy
99.9%
Counts
528 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶92.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
✓99.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
▶99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
▶90.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓89.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
▶85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
85.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
89.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
73.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
90.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
77.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
✓78.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
78.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
73.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
72.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
70.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
76.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
70.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
▶61.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 2 086 to 1 585 computations (24% saved)

series29.0ms (0.3%)

Memory
5.7MiB live, 49.4MiB allocated; 6ms collecting garbage
Counts
46 → 119
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2)
(fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32))
(/.f32 (PI.f32) u2)
(PI.f32)
u2
#s(literal 1/2 binary32)
#s(literal -314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 1/2 (/ (PI) u2))
(/ (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) u2)
(/ (PI) u2)
u2
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(pow u2 2)
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
-314159265359/50000000000
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) u2) (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) (/ (PI) u2) (PI) u2 1/2 -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/ (PI) 2) 2)
5.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) u2) (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) (/ (PI) u2) (PI) u2 1/2 -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/ (PI) 2) 2)
4.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) u2) (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) (/ (PI) u2) (PI) u2 1/2 -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/ (PI) 2) 2)
2.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) u2) (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) (/ (PI) u2) (PI) u2 1/2 -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/ (PI) 2) 2)
2.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) u2) (+ (* (/ (PI) u2) 1/2) -314159265359/50000000000) (/ (PI) u2) (PI) u2 1/2 -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (/ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/ (PI) 2) 2)

simplify308.0ms (3.5%)

Memory
11.1MiB live, 246.1MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04142113
113911941
260901926
082781792
Stop Event
1×iter limit
1×node limit
Counts
119 → 117
Calls
Call 1
Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 1/2 (/ (PI) u2))
(/ (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) u2)
(/ (PI) u2)
u2
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(pow u2 2)
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
-314159265359/50000000000
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) u1 #s(literal -1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
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(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(pow u2 2)
(*.f32 u2 u2)
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 u1))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(* -314159265359/50000000000 u2)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
-314159265359/50000000000
#s(literal -314159265359/50000000000 binary32)
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))) (pow.f32 u2 #s(literal 6 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 (neg.f32 u2) #s(literal 3 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

rewrite202.0ms (2.3%)

Memory
-8.1MiB live, 226.4MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060449
097436
1309435
01944435
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
46 → 320
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2)
(fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32))
(/.f32 (PI.f32) u2)
(PI.f32)
u2
#s(literal 1/2 binary32)
#s(literal -314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(*.f32 (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2) #s(literal -314159265359/50000000000 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2) #s(literal -314159265359/50000000000 binary32)) u2))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2) #s(literal -314159265359/50000000000 binary32)) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (PI.f32)) #s(literal -2 binary32))
(/.f32 (PI.f32) #s(literal 2 binary32))
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(neg.f32 (/.f32 (PI.f32) #s(literal -2 binary32)))
#s(literal 2 binary32)

eval63.0ms (0.7%)

Memory
1.2MiB live, 148.8MiB allocated; 29ms collecting garbage
Compiler

Compiled 19 187 to 2 358 computations (87.7% saved)

prune48.0ms (0.5%)

Memory
-6.1MiB live, 131.8MiB allocated; 9ms collecting garbage
Pruning

49 alts after pruning (41 fresh and 8 done)

PrunedKeptTotal
New54113554
Fresh52833
Picked145
Done044
Total54749596
Accuracy
99.9%
Counts
596 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
91.7%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
90.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
87.1%
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
91.7%
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
✓99.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) u2 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
▶98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
✓90.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
▶92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
90.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓89.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
▶82.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
85.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
85.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
85.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
80.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
78.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
89.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
68.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
73.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
77.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
✓78.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
78.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
73.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
72.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
▶70.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
▶70.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
✓61.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 2 470 to 1 888 computations (23.6% saved)

series25.0ms (0.3%)

Memory
6.7MiB live, 54.7MiB allocated; 8ms collecting garbage
Counts
48 → 121
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))
(*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))
(neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
#s(literal 3 binary32)
(sqrt.f32 u1)
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt (pow u1 3))
(pow u1 3)
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* 1/2 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* 1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* -314159265359/50000000000 u2)
u2
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(pow u2 2)
(* 98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
98696044010906577398881/5000000000000000000000
(+ 98696044010906577398881/5000000000000000000000 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)))
(+ 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 6) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (PI) 1/2) (* -314159265359/50000000000 u2)) (PI) 1/2 (* -314159265359/50000000000 u2) -314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (- 1 (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2))) (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (sqrt (pow u1 3)) (pow u1 3) 3 (sqrt u1))
3.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (PI) 1/2) (* -314159265359/50000000000 u2)) (PI) 1/2 (* -314159265359/50000000000 u2) -314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (- 1 (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2))) (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (sqrt (pow u1 3)) (pow u1 3) 3 (sqrt u1))
3.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (PI) 1/2) (* -314159265359/50000000000 u2)) (PI) 1/2 (* -314159265359/50000000000 u2) -314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (- 1 (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2))) (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (sqrt (pow u1 3)) (pow u1 3) 3 (sqrt u1))
2.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (PI) 1/2) (* -314159265359/50000000000 u2)) (PI) 1/2 (* -314159265359/50000000000 u2) -314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (- 1 (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2))) (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (sqrt (pow u1 3)) (pow u1 3) 3 (sqrt u1))
2.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (PI) 1/2) (* -314159265359/50000000000 u2)) (PI) 1/2 (* -314159265359/50000000000 u2) -314159265359/50000000000 u2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* (+ (* u1 u1) u1) u1) u1) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 98696044010906577398881/5000000000000000000000 (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (- 1 (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2))) (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (sqrt (pow u1 3)) (pow u1 3) 3 (sqrt u1))

simplify215.0ms (2.4%)

Memory
37.7MiB live, 269.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03652001
112431832
254491817
085921701
Stop Event
1×iter limit
1×node limit
Counts
121 → 119
Calls
Call 1
Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt (pow u1 3))
(pow u1 3)
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* 1/2 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* 1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* -314159265359/50000000000 u2)
u2
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(pow u2 2)
(* 98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
(* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
98696044010906577398881/5000000000000000000000
(+ 98696044010906577398881/5000000000000000000000 (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)))
(+ 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 6) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1))
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#s(literal -98696044010906577398881/5000000000000000000000 binary32)
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
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(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
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9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
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(* 98696044010906577398881/5000000000000000000000 (pow u2 2))
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(* (pow u2 2) (+ 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (- (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
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98696044010906577398881/5000000000000000000000
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
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(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
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(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
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(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
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(cos (* 314159265359/50000000000 u2))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
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(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
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(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)
(* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 6) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (pow.f32 u2 #s(literal 6 binary32)))
(* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 4) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (pow.f32 u2 #s(literal 4 binary32)))
(* (pow u2 4) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (pow.f32 u2 #s(literal 4 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(*.f32 (pow.f32 (neg.f32 u2) #s(literal 3 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

rewrite204.0ms (2.3%)

Memory
-2.1MiB live, 229.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063501
0101487
1334487
02207481
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
48 → 323
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))
(*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))
(neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
#s(literal 3 binary32)
(sqrt.f32 u1)
Outputs
(*.f32 (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
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(/.f32 (fma.f32 #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (+.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (fma.f32 #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
(-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (neg.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2)) u2))
(-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (neg.f32 (*.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2)))
(fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (neg.f32 u2)) (neg.f32 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (fabs.f32 u2)) (fabs.f32 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 (fabs.f32 u2) (*.f32 (fabs.f32 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 u2 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (/.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(+.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(/.f32 (-.f32 u1 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1)) (neg.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1)))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1)))
(/.f32 (fma.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (+.f32 u1 (-.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1)))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (sqrt.f32 u1) (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) #s(literal 1/2 binary32)))
(-.f32 (sqrt.f32 u1) (*.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(fma.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 3/2 binary32)) (sqrt.f32 u1))
(+.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1)))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) u1) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1)))))
(+.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal 3/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) u1)
(*.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 (sqrt.f32 u1) #s(literal 3 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(pow.f32 u1 #s(literal 3/2 binary32))
(fabs.f32 (pow.f32 u1 #s(literal 3/2 binary32)))
(exp.f32 (/.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3/2 binary32)))
(*.f32 (*.f32 u1 (neg.f32 u1)) (neg.f32 u1))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))))
(*.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 u1 (*.f32 u1 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 6 binary32)))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 3 binary32))
(pow.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 u1 #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)))
#s(literal 3 binary32)
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))

eval68.0ms (0.8%)

Memory
-4.7MiB live, 145.8MiB allocated; 29ms collecting garbage
Compiler

Compiled 21 375 to 2 547 computations (88.1% saved)

prune56.0ms (0.6%)

Memory
-0.2MiB live, 144.9MiB allocated; 11ms collecting garbage
Pruning

56 alts after pruning (47 fresh and 9 done)

PrunedKeptTotal
New54518563
Fresh72936
Picked325
Done178
Total55656612
Accuracy
99.9%
Counts
612 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
91.7%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
90.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
87.1%
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
91.7%
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) u2 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
99.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))))
✓99.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
✓90.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
90.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
92.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓89.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
83.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
✓82.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
79.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
68.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
85.1%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
85.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
85.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
80.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
78.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
80.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
81.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
82.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
73.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
73.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
68.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
69.4%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
✓78.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
78.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
73.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
72.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
✓70.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
70.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
19.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
70.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
✓61.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
69.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 u1 u1)))))
Compiler

Compiled 3 942 to 1 604 computations (59.3% saved)

regimes196.0ms (2.2%)

Memory
52.5MiB live, 442.2MiB allocated; 53ms collecting garbage
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
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(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) u2 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ (* (sqrt (pow u1 3)) 1/2) (sqrt u1)) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 u1 u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
Calls

8 calls:

34.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
24.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
21.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.3%1cosTheta_i
99.3%1u1
99.3%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes709.0ms (8%)

Memory
-134.2MiB live, 552.0MiB allocated; 908ms collecting garbage
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

176.0ms
u2
30.0ms
u1
26.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
25.0ms
cosTheta_i
21.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
99.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes120.0ms (1.3%)

Memory
25.5MiB live, 262.2MiB allocated; 14ms collecting garbage
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

16.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms
u1
15.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
97.8%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.7%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1cosTheta_i
97.7%2u1
97.8%2u2
97.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes148.0ms (1.7%)

Memory
-4.9MiB live, 239.2MiB allocated; 81ms collecting garbage
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
Calls

7 calls:

58.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
17.0ms
u1
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms
u2
Results
AccuracySegmentsBranch
97.4%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.5%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.5%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.5%2u1
97.5%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.5%2u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes101.0ms (1.1%)

Memory
-25.1MiB live, 212.9MiB allocated; 21ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
Calls

7 calls:

15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms
u1
14.0ms
u2
Results
AccuracySegmentsBranch
96.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.5%1u1
96.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.4%2u2
95.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes36.0ms (0.4%)

Memory
5.1MiB live, 47.4MiB allocated; 8ms collecting garbage
Counts
47 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

2 calls:

21.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
u2
Results
AccuracySegmentsBranch
96.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.4%2u2
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes113.0ms (1.3%)

Memory
2.3MiB live, 91.0MiB allocated; 12ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

5 calls:

53.0ms
cosTheta_i
24.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms
u2
11.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
92.5%1cosTheta_i
92.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.5%1u2
Compiler

Compiled 20 to 28 computations (-40% saved)

regimes119.0ms (1.3%)

Memory
7.2MiB live, 104.1MiB allocated; 16ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

35.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
cosTheta_i
Results
AccuracySegmentsBranch
92.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.5%1u1
92.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.5%1cosTheta_i
92.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes100.0ms (1.1%)

Memory
41.7MiB live, 127.6MiB allocated; 14ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

23.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
21.0ms
u1
10.0ms
cosTheta_i
9.0ms
u2
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
92.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1u1
92.5%1u2
92.5%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes134.0ms (1.5%)

Memory
-10.7MiB live, 137.7MiB allocated; 27ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
Calls

8 calls:

34.0ms
u2
30.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
92.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.5%1u1
92.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.5%1cosTheta_i
92.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes109.0ms (1.2%)

Memory
-26.4MiB live, 112.6MiB allocated; 17ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
Calls

8 calls:

23.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
21.0ms
u2
20.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
92.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.5%1cosTheta_i
92.5%1u1
92.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes153.0ms (1.7%)

Memory
6.4MiB live, 150.1MiB allocated; 14ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
Calls

8 calls:

71.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
cosTheta_i
Results
AccuracySegmentsBranch
90.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.5%1u1
90.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.5%1cosTheta_i
90.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes81.0ms (0.9%)

Memory
16.7MiB live, 153.8MiB allocated; 12ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

30.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
u2
9.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms
u1
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
90.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.5%1cosTheta_i
90.5%1u2
90.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.5%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes48.0ms (0.5%)

Memory
15.8MiB live, 111.5MiB allocated; 8ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

8 calls:

8.0ms
u1
7.0ms
cosTheta_i
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
u2
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
87.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.4%1cosTheta_i
87.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.4%1u1
87.4%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes36.0ms (0.4%)

Memory
-13.5MiB live, 78.2MiB allocated; 4ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

5.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.0ms
u2
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
84.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
84.7%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
84.9%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
84.9%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.8%1cosTheta_i
84.9%2u1
84.7%2u2
85.1%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes37.0ms (0.4%)

Memory
24.6MiB live, 76.0MiB allocated; 17ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
u2
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
78.4%1cosTheta_i
78.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
78.4%1u2
78.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
78.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
78.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.4%1u1
78.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes23.0ms (0.3%)

Memory
-40.2MiB live, 51.7MiB allocated; 5ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
Calls

8 calls:

4.0ms
cosTheta_i
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
u2
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
72.7%1cosTheta_i
72.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.7%1u2
72.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.7%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes18.0ms (0.2%)

Memory
-1.2MiB live, 45.2MiB allocated; 3ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
Calls

8 calls:

2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
cosTheta_i
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
u2
Results
AccuracySegmentsBranch
70.0%1cosTheta_i
70.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
70.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.0%1u2
70.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
70.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
70.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.0%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes14.0ms (0.2%)

Memory
42.5MiB live, 42.5MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
Calls

8 calls:

2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u2
2.0ms
u1
Results
AccuracySegmentsBranch
70.0%1cosTheta_i
70.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
70.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
70.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
70.0%1u1
70.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
70.0%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes22.0ms (0.2%)

Memory
-16.6MiB live, 32.0MiB allocated; 13ms collecting garbage
Accuracy

Total -13.6b remaining (-110.5%)

Threshold costs -13.6b (-110.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Calls

8 calls:

13.0ms
u1
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
61.5%1cosTheta_i
61.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
61.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.5%1u1
61.5%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.061737872660160065
0.0721263587474823
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.022131605073809624
0.024295182898640633
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.13379783928394318
0.16603054106235504
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.13379783928394318
0.16603054106235504
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.12399780750274658
0.12889787554740906
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify60.0ms (0.7%)

Memory
-14.6MiB live, 76.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143676
1198676
2315676
3609676
41258676
54000676
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 6442451/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/8 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 9395241/134217728 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 6442451/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) #s(approx (* (neg (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000)) (* u2 u2)) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 (*.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/8 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

derivations772.0ms (8.7%)

Memory
51.2MiB live, 786.2MiB allocated; 175ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 680 to 149 computations (78.1% saved)

preprocess73.0ms (0.8%)

Memory
-17.4MiB live, 120.5MiB allocated; 23ms collecting garbage
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 646 to 572 computations (65.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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