Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze300.0ms (3.6%)

Memory
-4.2MiB live, 329.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
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 (23.4%)

Memory
88.8MiB live, 2 808.2MiB allocated
Samples
1.5s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 482.0ms (40.1% of total)
ival-<=: 164.0ms (13.6% of total)
ival-cos: 155.0ms (12.9% of total)
ival-mult: 140.0ms (11.6% of total)
ival-div: 81.0ms (6.7% of total)
ival-sqrt: 57.0ms (4.7% of total)
ival-sub: 54.0ms (4.5% of total)
ival-and: 34.0ms (2.8% of total)
ival->: 27.0ms (2.2% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain130.0ms (1.6%)

Memory
-8.1MiB live, 202.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(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))sensitivity10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms512×0valid
Compiler

Compiled 123 to 48 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 14.0ms (33.9% of total)
const: 10.0ms (24.2% of total)
ival-cos: 5.0ms (12.1% of total)
ival-div: 4.0ms (9.7% of total)
ival-sub: 3.0ms (7.3% of total)
ival-sqrt: 3.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess349.0ms (4.2%)

Memory
26.6MiB live, 335.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
196104
2207104
3478102
41154102
52536102
65598102
01011
01611
12911
25511
311511
422811
538511
649511
776011
8135011
9225411
10336811
11554711
12718611
0825411
Stop Event
iter limit
node limit
iter limit
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.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)

simplify203.0ms (2.5%)

Memory
-18.3MiB live, 170.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12936
25536
311536
422836
538536
649536
776036
8135036
9225436
10336836
11554736
12718636
0825436
Stop Event
iter limit
node limit
iter 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)))
(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 (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))))
(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))
(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)
u2

localize107.0ms (1.3%)

Memory
-22.1MiB live, 105.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.109375
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.15625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.34765625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
100.0ms256×0valid
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
const: 4.0ms (26.8% of total)
ival-mult: 3.0ms (20.1% of total)
ival-cos: 3.0ms (20.1% of total)
ival-div: 2.0ms (13.4% of total)
ival-sqrt: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-15.1MiB live, 22.6MiB allocated
Counts
5 → 42
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))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #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)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
2.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))

simplify36.0ms (0.4%)

Memory
27.9MiB live, 66.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180759
0641720
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
42 → 41
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)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (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))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.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 u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 u1 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #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))))) 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 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 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) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) 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))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) 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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 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 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 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)))) (+ (* -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 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(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 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) #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)))
(- (+ (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 #s(literal -1/2 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 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)))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 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)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.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)) (neg.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) 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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 5/16 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) 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)))
(fma.f32 (/.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) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) #s(literal -1 binary32) #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 #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)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.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 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.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))))) (*.f32 u2 u2) (*.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))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) 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)))

rewrite141.0ms (1.7%)

Memory
-0.4MiB live, 116.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
15428
231028
0265828
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 230
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))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(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 #s(literal -314159265359/50000000000 binary32) u2)) #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 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))))
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(*.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 u1 #s(literal 3 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 (/.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 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 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 (/.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 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (neg.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.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 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (*.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #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 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 (fma.f32 #s(literal -1 binary32) 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 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 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 u1 #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (/.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 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 0 binary32) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(+.f32 (/.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (neg.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))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 u1) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 (neg.f32 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))

eval42.0ms (0.5%)

Memory
-24.5MiB live, 57.2MiB allocated
Compiler

Compiled 5 972 to 1 147 computations (80.8% saved)

prune13.0ms (0.2%)

Memory
30.0MiB live, 30.0MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New25615271
Fresh000
Picked011
Done000
Total25616272
Accuracy
99.8%
Counts
272 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
99.1%
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.4%
(*.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)))
72.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
81.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 463 to 421 computations (9.1% saved)

simplify171.0ms (2.1%)

Memory
2.4MiB live, 159.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff2
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
cost-diff0
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035219
057219
188217
2145217
3264217
4453217
5747217
61455217
72205217
83264217
95439217
106928217
08634213
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
u1
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1/2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(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)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) 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 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(fma.f32 u1 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(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)
u2
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
u1
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(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)
u2

localize172.0ms (2.1%)

Memory
-46.0MiB live, 163.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy0.12109375
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy0.24609375
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.34765625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.15625
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.15625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.33203125
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.34765625
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.109375
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30859375
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
accuracy0.34765625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy4.899513307992763
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
accuracy0.0
(-.f32 #s(literal 1 binary32) u1)
accuracy0.10546875
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.15625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy5.838258447206226
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.109375
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.12109375
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy0.16796875
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
accuracy0.34765625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
115.0ms256×0valid
Compiler

Compiled 415 to 67 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 14.0ms (29.6% of total)
ival-div: 7.0ms (14.8% of total)
const: 7.0ms (14.8% of total)
ival-sqrt: 6.0ms (12.7% of total)
ival-cos: 5.0ms (10.6% of total)
ival-pow: 4.0ms (8.5% of total)
ival-add: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
36.9MiB live, 36.9MiB allocated
Counts
21 → 111
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
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))))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
1
(+ 1 (* -1 u1))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (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 u1) 1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 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 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* (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))))))
(+ (* 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 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (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)
(+ (* 1/2 (/ (* (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)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 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 -1))
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -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)))
(+ (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)))))))))
(sqrt (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 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)
(* -314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u1
@-inf
((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
4.0ms
u1
@inf
((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
3.0ms
u1
@0
((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
2.0ms
u2
@inf
((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
1.0ms
u2
@-inf
((* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (pow (/ (- 1 u1) u1) -1/2) (/ (- 1 u1) u1) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 1 (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt (/ (- 1 u1) u1)) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))

simplify94.0ms (1.1%)

Memory
-15.4MiB live, 143.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04852355
017212232
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
111 → 110
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))))))))))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
1
(+ 1 (* -1 u1))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (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 u1) 1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 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 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* (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))))))
(+ (* 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 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (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)
(+ (* 1/2 (/ (* (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)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 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 -1))
(+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (/ 3/8 (* (pow u1 2) (sqrt -1))) (+ (/ 1/2 (* u1 (sqrt -1))) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))
(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -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)))
(+ (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)))))))))
(sqrt (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 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)
(* -314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
Outputs
(* (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))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.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 u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #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))))) u1)) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(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 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 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) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* (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))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (*.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 u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (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) (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) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) u1 (*.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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(cos (* -314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 5/16 binary32) u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 3/8 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32))) (*.f32 u1 u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(+ 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))
(* (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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 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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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
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(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
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(+ (* -1 (/ (- (* -1 (/ (+ (* 3/8 (/ 1 (sqrt -1))) (* 5/16 (/ 1 (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)) (/ 1 (sqrt -1)))
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(+ (sqrt -1) (* -1/2 (/ (sqrt -1) u1)))
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
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(* -1 (* (sqrt u1) (sqrt -1)))
(neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* -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))))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* -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)))))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/16 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.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))))
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(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
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(sqrt (/ 1 (- 1 u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
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(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
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(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.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)) (*.f32 u2 u2) #s(literal 1 binary32))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* -314159265359/50000000000 u2)
(*.f32 #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))))
(* (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)) (sqrt (/ 1 (- 1 u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))

rewrite201.0ms (2.4%)

Memory
-7.4MiB live, 302.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035165
057164
1144158
2712158
37025153
08365149
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 396
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) u1) 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))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
Outputs
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (/.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) #s(literal -1 binary32))
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (/.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 #s(literal -1 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(/.f32 (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) #s(literal -1 binary32)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (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 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.f32 (-.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 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(/.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.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)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))))
(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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(fma.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(pow.f32 (/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+.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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
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(/.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (neg.f32 u1)))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(-.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1/2 binary32))
(fabs.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))
(+.f32 (cosh.f32 (-.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (sinh.f32 (-.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))))
(+.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (sinh.f32 (neg.f32 (*.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal -1 binary32)))))
(+.f32 (cosh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))) (sinh.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32)))))))
(exp.f32 (-.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (neg.f32 (*.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))) #s(literal -1 binary32))))
(exp.f32 (log.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(neg.f32 (neg.f32 (sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))))
(sinh.f32 (acosh.f32 (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal -1 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 (neg.f32 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 #s(literal 0 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+.f32 #s(literal 0 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u2)) #s(literal -314159265359/50000000000 binary32))
(*.f32 (neg.f32 (neg.f32 u2)) #s(literal -314159265359/50000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 (neg.f32 u2)))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal -1 binary32))
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 #s(literal 0 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(-.f32 #s(literal 0 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(neg.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(*.f32 (sin.f32 (acos.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sin.f32 (acos.f32 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)))))
(*.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)))))
(*.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (sin.f32 (acos.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (sin.f32 (acos.f32 u1)) (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (*.f32 (sqrt.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (sqrt.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (cosh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))

eval235.0ms (2.8%)

Memory
5.4MiB live, 316.1MiB allocated
Compiler

Compiled 43 669 to 6 121 computations (86% saved)

prune64.0ms (0.8%)

Memory
14.4MiB live, 142.3MiB allocated
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New1 731331 764
Fresh4610
Picked235
Done011
Total1 737431 780
Accuracy
99.9%
Counts
1 780 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
72.7%
(*.f32 (pow.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (neg.f32 (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.0%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
98.4%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
72.8%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
96.4%
(*.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)))
81.6%
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
20.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
64.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
18.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
58.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
58.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
75.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
81.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
81.4%
#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)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
Compiler

Compiled 1 787 to 1 432 computations (19.9% saved)

simplify125.0ms (1.5%)

Memory
12.9MiB live, 167.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
cost-diff0
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
cost-diff1
(/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))
cost-diff14
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
cost-diff1
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff5
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
cost-diff0
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
cost-diff1
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
cost-diff0
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043326
072278
1122278
2273270
3854240
43811240
08251236
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
u1
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))
u1
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(literal 1 binary32)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 u1 #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(+.f32 u1 #s(literal 1 binary32))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
Outputs
(/.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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(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)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#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)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(fma.f32 u1 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal 1 binary32)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(neg.f32 u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
(/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(literal 1 binary32)
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(-.f32 u1 #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) u1)
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(+.f32 u1 #s(literal 1 binary32))
(-.f32 u1 #s(literal -1 binary32))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(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)
u2
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1

localize152.0ms (1.8%)

Memory
-19.0MiB live, 177.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy0.1171875
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy0.25619125976844204
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.3359375
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.336601269536884
(/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))
accuracy4.432272123840867
(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy5.6945318429057785
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
accuracy29.8306471256943
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))
accuracy0.13671875
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
accuracy0.37890625
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
accuracy4.432272123840867
(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy5.6945318429057785
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
accuracy0.09375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
accuracy0.296875
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
accuracy4.278806429930295
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
accuracy5.6945318429057785
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
accuracy0.12109375
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy0.14453125
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.203125
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3359375
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
Samples
102.0ms248×0valid
7.0ms5exit
Compiler

Compiled 606 to 87 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 16.0ms (25.1% of total)
ival-mult: 12.0ms (18.8% of total)
ival-sqrt: 10.0ms (15.7% of total)
ival-cos: 7.0ms (11% of total)
const: 7.0ms (11% of total)
ival-add: 5.0ms (7.8% of total)
ival-sub: 3.0ms (4.7% of total)
adjust: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
30.3MiB live, 30.3MiB allocated
Counts
23 → 111
Calls
Call 1
Inputs
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
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)
u1
(* u1 (+ 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 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 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(- (pow u1 2) 1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) 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)))))
(pow u1 2)
(* (pow u1 2) (+ 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 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* (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) (- 1 (/ 1 (pow u1 2))))
(- (/ 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)))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 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 (/ (+ (* -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 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(/ (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 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 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -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)))
(+ (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)))))))))
(+ (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)))))))
(+ 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)
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(cos (* -314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
u1
@0
((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (+ (* u1 u1) -1) (- (neg u1) 1)) (- (neg u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1)))) (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))) (/ (* (neg u1) u1) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (* -314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (sqrt (- 1 u1)) (+ (* u1 u1) -1) (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1))) (/ (- 1 u1) u1))
4.0ms
u1
@inf
((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (+ (* u1 u1) -1) (- (neg u1) 1)) (- (neg u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1)))) (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))) (/ (* (neg u1) u1) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (* -314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (sqrt (- 1 u1)) (+ (* u1 u1) -1) (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1))) (/ (- 1 u1) u1))
3.0ms
u1
@-inf
((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (+ (* u1 u1) -1) (- (neg u1) 1)) (- (neg u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1)))) (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))) (/ (* (neg u1) u1) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (* -314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (sqrt (- 1 u1)) (+ (* u1 u1) -1) (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1))) (/ (- 1 u1) u1))
1.0ms
u2
@inf
((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (+ (* u1 u1) -1) (- (neg u1) 1)) (- (neg u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1)))) (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))) (/ (* (neg u1) u1) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (* -314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (sqrt (- 1 u1)) (+ (* u1 u1) -1) (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1))) (/ (- 1 u1) u1))
1.0ms
u2
@-inf
((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (+ 1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (+ (* u1 u1) -1) (- (neg u1) 1)) (- (neg u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1)))) (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))) (/ (* (neg u1) u1) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* (/ 1 (+ (* u1 u1) -1)) (- u1 1)) (/ (* (neg u1) u1) (+ u1 1))))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (* -314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (sqrt (- 1 u1)) (+ (* u1 u1) -1) (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1))) (/ (- 1 u1) u1))

simplify98.0ms (1.2%)

Memory
-16.8MiB live, 103.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04552062
016071949
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
111 → 110
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)
u1
(* u1 (+ 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 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 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(- (pow u1 2) 1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) 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)))))
(pow u1 2)
(* (pow u1 2) (+ 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 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(* (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) (- 1 (/ 1 (pow u1 2))))
(- (/ 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)))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 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 (/ (+ (* -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 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(/ (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 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 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(* -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)))
(+ (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)))))))))
(+ (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)))))))
(+ 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)
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(cos (* -314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (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))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.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 u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 u1 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #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))))) u1)) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) 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))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.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 u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #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))))) u1)) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (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 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 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) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1))
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(neg.f32 (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(neg.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.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)) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32))) 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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.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) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(*.f32 (neg.f32 u1) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1 binary32) #s(literal 1 binary32)))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(*.f32 (neg.f32 u1) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1 binary32) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal 1 binary32)))
(/ (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1))))) u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 #s(literal -3/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1) #s(literal -1 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* 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 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3/8 binary32) (*.f32 #s(literal 5/16 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))) u1) #s(literal -1 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (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 (/ (+ (* 1/8 (/ (sqrt -1) u1)) (* 1/2 (sqrt -1))) u1)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt -1)) (* -1/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(fma.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/16 binary32) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* (sqrt u1) (sqrt -1)))
(neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* -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))))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* -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)))))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/16 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.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 #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)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.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 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.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) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 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 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 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 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 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 (fma.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 (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) #s(literal 1 binary32))
(* -314159265359/50000000000 u2)
(*.f32 #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))
(* (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))))

rewrite243.0ms (2.9%)

Memory
9.9MiB live, 389.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043250
072224
1252180
22104180
08861176
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 531
Calls
Call 1
Inputs
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
Outputs
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
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(/.f32 (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -3 binary32)) (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -3 binary32))) (*.f32 (fma.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))) u1))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 u1))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 (neg.f32 u1)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (/.f32 (neg.f32 u1) u1))
(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) (/.f32 (neg.f32 u1) u1))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1) (/.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) u1))
(+.f32 (/.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)) u1) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 u1) u1))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

eval292.0ms (3.5%)

Memory
-6.5MiB live, 437.0MiB allocated
Compiler

Compiled 53 944 to 6 828 computations (87.3% saved)

prune129.0ms (1.6%)

Memory
4.5MiB live, 130.5MiB allocated
Pruning

61 alts after pruning (54 fresh and 7 done)

PrunedKeptTotal
New1 351301 381
Fresh102434
Picked235
Done044
Total1 363611 424
Accuracy
99.9%
Counts
1 424 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.7%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
98.9%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
72.7%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
81.3%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
80.6%
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
96.1%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (neg.f32 (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.0%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
98.4%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
72.8%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
96.4%
(*.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)))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
10.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)))
76.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
64.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
15.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
59.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))))
19.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (*.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))))
59.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
72.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
75.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
81.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
81.4%
#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)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
72.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
20.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
3.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
Compiler

Compiled 2 922 to 2 128 computations (27.2% saved)

simplify140.0ms (1.7%)

Memory
26.3MiB live, 98.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
cost-diff7
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
cost-diff2
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))
cost-diff3
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1)))
cost-diff5
(/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
cost-diff8
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))
cost-diff0
#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)))))
cost-diff6
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 #s(literal -1 binary32))
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
cost-diff0
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff2
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057477
094412
1188378
2545365
32401346
08093339
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(literal -1 binary32)
(-.f32 u1 #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
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#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)))))
(sqrt.f32 (*.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) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 u1 #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1)))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 (neg.f32 u1) u1)
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 u1)
u1
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 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))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(literal -1 binary32)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(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)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 u1 #s(literal 1 binary32))
(-.f32 u1 #s(literal -1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.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))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1)))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(-.f32 u1 #s(literal -1 binary32))
#s(literal 1 binary32)
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))
(*.f32 (fma.f32 u1 u1 u1) u1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(neg.f32 u1)
(*.f32 (neg.f32 u1) u1)
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)

localize317.0ms (3.8%)

Memory
-31.7MiB live, 137.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy0.0
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.0
(sqrt.f32 u1)
accuracy0.0
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
accuracy0.0
(*.f32 (neg.f32 u1) u1)
accuracy0.0
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
accuracy0.0
(neg.f32 u1)
accuracy0.0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
accuracy0.0
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
accuracy0.0
(*.f32 u1 u1)
accuracy0.0
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))
accuracy0.0
#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)))))
accuracy0.0
(sqrt.f32 #s(literal -1 binary32))
accuracy0.0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
accuracy0.0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
accuracy0.0
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.0
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.0
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
accuracy0.0
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Samples
153.0ms256×0invalid
Compiler

Compiled 848 to 115 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-sqrt: 36.0ms (26.8% of total)
ival-cos: 33.0ms (24.6% of total)
ival-mult: 27.0ms (20.1% of total)
const: 14.0ms (10.4% of total)
ival-div: 12.0ms (8.9% of total)
ival-add: 6.0ms (4.5% of total)
ival-sub: 5.0ms (3.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
11.8MiB live, 49.1MiB allocated
Counts
28 → 153
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
#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)))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1)))
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 u1)
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(neg.f32 u1)
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 u1) u1)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 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 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 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(pow u1 2)
(* (pow u1 2) (+ 1 u1))
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/10000000000000000000000))) 98696044010906577398881/5000000000000000000000)
(- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (pow u2 2)) 296088132032719732196643/40000000000000000000000))) 98696044010906577398881/10000000000000000000000))) 98696044010906577398881/5000000000000000000000)
(- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (* 9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/16000000000000000000000))) 296088132032719732196643/40000000000000000000000))) 98696044010906577398881/10000000000000000000000))) 98696044010906577398881/5000000000000000000000)
(* (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)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(* -1 u1)
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(+ (* u1 (+ (* 1/2 (sqrt u1)) (* (sqrt u1) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* u1 (+ (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))) (* (sqrt u1) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (pow u1 2))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (* -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) (* 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 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -1)))))
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (/ (pow u2 2) (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -1)))))))
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (/ (pow u2 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 5))) (/ (pow u2 2) (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -1)))))))))
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (/ (pow u2 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 5))) (/ (pow u2 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 7))) (/ (* (pow u2 2) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -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 (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* -1/2 (/ (sqrt -1) u1)) (+ (* -1/2 (/ (sqrt -1) (pow u1 2))) (+ (* 7/8 (/ (sqrt -1) (pow u1 2))) (/ (sqrt -1) u1)))))
(+ (sqrt -1) (+ (* -9/16 (/ (sqrt -1) (pow u1 3))) (+ (* -1/2 (/ (sqrt -1) u1)) (+ (* -1/2 (/ (sqrt -1) (pow u1 2))) (+ (* 7/8 (/ (sqrt -1) (pow u1 2))) (+ (* 7/8 (/ (sqrt -1) (pow u1 3))) (/ (sqrt -1) u1)))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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 (/ (+ (* -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 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -1)))))))
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt u1) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 2) (sqrt -1))))) (pow u1 3))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -1))))))))
(+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt u1) (sqrt -1))) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 2) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) u1)) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 2) (sqrt -1)))))) (pow u1 3))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (sqrt -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)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))))))))
(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)))))))))
(* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1))))
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(sqrt (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 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)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(cos (* 314159265359/50000000000 u2))
Calls

9 calls:

TimeVariablePointExpression
29.0ms
u2
@inf
((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt -1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (* (neg u1) u1)) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* u1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg u1) (sqrt (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))))) (* (neg u1) u1) (sqrt (/ 1 (- 1 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
5.0ms
u1
@inf
((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt -1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (* (neg u1) u1)) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* u1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg u1) (sqrt (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))))) (* (neg u1) u1) (sqrt (/ 1 (- 1 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
4.0ms
u1
@-inf
((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt -1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (* (neg u1) u1)) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* u1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg u1) (sqrt (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))))) (* (neg u1) u1) (sqrt (/ 1 (- 1 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
3.0ms
u1
@0
((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt -1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (* (neg u1) u1)) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* u1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg u1) (sqrt (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))))) (* (neg u1) u1) (sqrt (/ 1 (- 1 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))
3.0ms
u2
@-inf
((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt -1) (* (/ u1 (- 1 (* u1 u1))) (+ u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ u1 1))) (/ u1 (- 1 (* u1 u1))) (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (* (neg u1) u1)) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* u1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg u1) (sqrt (/ u1 (/ (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) (* (- (neg u1) 1) (+ 1 u1))))) (* (neg u1) u1) (sqrt (/ 1 (- 1 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)))

simplify96.0ms (1.2%)

Memory
0.8MiB live, 80.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06403571
022563368
Stop Event
iter limit
iter limit
node limit
Counts
153 → 152
Calls
Call 1
Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
1
(+ 1 u1)
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(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 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)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(cos (* 314159265359/50000000000 u2))
Outputs
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (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)) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (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 u1 u1) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (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 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.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 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) u1)) #s(literal 1 binary32)) (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))))) u1)) (*.f32 u1 u1) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) u1)) #s(literal 1 binary32)) (sqrt.f32 u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 u1 u1) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* (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))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.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 u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #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))))) u1)) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 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) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(* u1 (+ 1 (pow u1 2)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(*.f32 (fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1) #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1) #s(literal 1 binary32)) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(- (* u1 (- u1 1)) 1)
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal -1 binary32))
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 u1))
(*.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/10000000000000000000000))) 98696044010906577398881/5000000000000000000000)
(-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (pow u2 2)) 296088132032719732196643/40000000000000000000000))) 98696044010906577398881/10000000000000000000000))) 98696044010906577398881/5000000000000000000000)
(-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (+ (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (pow u2 2)) (* u1 (- (* 9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/16000000000000000000000))) 296088132032719732196643/40000000000000000000000))) 98696044010906577398881/10000000000000000000000))) 98696044010906577398881/5000000000000000000000)
(-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/16000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(* (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))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1/2 binary32) (*.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 u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (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 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) (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))))) u1 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (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))))
(cos (* -314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 5/16 binary32) u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 3/8 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* -1 u1)
(neg.f32 u1)
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))))
(+ (* u1 (+ (* 1/2 (sqrt u1)) (* (sqrt u1) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 u1) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1))) u1 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
(+ (* u1 (+ (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))) (* (sqrt u1) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) u1 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1))) u1 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
(* -1 (pow u1 2))
(neg.f32 (*.f32 u1 u1))
(+ 1 (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
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rewrite280.0ms (3.4%)

Memory
5.2MiB live, 312.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057386
094373
1335314
22809312
09038301
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 156
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
#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)))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1)))
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 u1)
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(neg.f32 u1)
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 u1) u1)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
Outputs
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (neg.f32 (neg.f32 u1)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (neg.f32 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
(/.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 (neg.f32 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (*.f32 u1 u1) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
(/.f32 (fma.f32 u1 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (neg.f32 u1)))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (fma.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 u1))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 (neg.f32 u1) u1))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (*.f32 u1 u1))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1)) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 (neg.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 u1) u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (neg.f32 u1) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) u1)) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (neg.f32 u1) u1))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 u1 u1))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) u1)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (neg.f32 u1) u1))) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 u1 u1))) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) u1)) (*.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
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(pow.f32 (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) u1))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) u1)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))) u1) #s(literal 1/2 binary32))
(fabs.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)))) (fabs.f32 (-.f32 u1 #s(literal -1 binary32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))) u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))) u1)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 2 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1))) u1)) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (neg.f32 u1)) (neg.f32 u1))
(*.f32 (neg.f32 u1) (neg.f32 (neg.f32 u1)))
(*.f32 (neg.f32 u1) u1)
(*.f32 u1 (neg.f32 u1))
(*.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(-.f32 #s(literal 0 binary32) (*.f32 u1 u1))
(neg.f32 (*.f32 u1 u1))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (acos.f32 u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (acos.f32 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sin.f32 (acos.f32 u1)))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (fabs.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(fabs.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(+.f32 (cosh.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))) (sinh.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1)))))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 u2)) (neg.f32 u2))
(*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2)
(*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2))

eval242.0ms (2.9%)

Memory
19.4MiB live, 339.3MiB allocated
Compiler

Compiled 52 564 to 6 469 computations (87.7% saved)

prune80.0ms (1%)

Memory
-1.5MiB live, 201.0MiB allocated
Pruning

72 alts after pruning (63 fresh and 9 done)

PrunedKeptTotal
New1 239181 257
Fresh44549
Picked325
Done077
Total1 246721 318
Accuracy
99.9%
Counts
1 318 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.7%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
98.9%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
72.7%
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
81.3%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
80.6%
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.7%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
96.1%
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
81.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
98.4%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (neg.f32 (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.0%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
98.4%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
81.1%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
72.8%
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
96.4%
(*.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)))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
14.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)))
75.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
64.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
15.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
57.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))))
19.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (*.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))))
59.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
58.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
0.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
75.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
72.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
75.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
81.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (neg.f32 u1)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) #s(literal -1 binary32)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
81.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
81.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
81.4%
#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)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (+.f32 u1 #s(literal 1 binary32)))))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
81.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
72.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
72.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
20.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 u1 u1)))))
3.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
64.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 4 668 to 1 928 computations (58.7% saved)

regimes223.0ms (2.7%)

Memory
-8.0MiB live, 426.4MiB allocated
Counts
97 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #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 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) #s(literal -1 binary32)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
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(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (neg.f32 (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 #s(approx (- 1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 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 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) 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:

34.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
32.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
29.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
u1
26.0ms
u2
Results
AccuracySegmentsBranch
99.2%1cosTheta_i
99.2%1u1
99.2%1u2
99.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.2%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes163.0ms (2%)

Memory
24.1MiB live, 292.8MiB allocated
Counts
73 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #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 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) #s(literal -1 binary32)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (*.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (neg.f32 u1)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

25.0ms
cosTheta_i
21.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms
u1
20.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
85.6%1cosTheta_i
93.0%2u1
93.6%2u2
93.5%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.0%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes362.0ms (4.4%)

Memory
-108.9MiB live, 130.9MiB allocated
Counts
72 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #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 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) #s(literal -1 binary32)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (*.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (neg.f32 u1)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

3 calls:

303.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
26.0ms
u2
21.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
93.6%2u2
93.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 8 to 14 computations (-75% saved)

regimes188.0ms (2.3%)

Memory
10.1MiB live, 364.2MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #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 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* -1 (+ 1 u1)) (* (- (neg u1) 1) (* (neg u1) u1))) #s(literal -1 binary32)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (*.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (neg.f32 u1)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

7 calls:

55.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
33.0ms
u2
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.0ms
u1
Results
AccuracySegmentsBranch
87.1%2u1
87.1%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.1%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.6%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.5%2u2
89.5%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes144.0ms (1.7%)

Memory
16.0MiB live, 305.9MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #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 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1))))
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(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 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))) (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (pow (/ (- 1 u1) u1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (neg.f32 u1)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 #s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ 1 (- 1 u1)))) (* (sqrt (/ 1 (- 1 u1))) -98696044010906577398881/5000000000000000000000)) (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -296088132032719732196643/40000000000000000000000 binary32)) u1 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) u1 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (neg.f32 u1) u1)))) (*.f32 (-.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (+.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

19.0ms
u2
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
18.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
81.6%1u1
81.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.6%1cosTheta_i
81.6%1u2
81.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
81.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes28.0ms (0.3%)

Memory
-21.5MiB live, 55.9MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) 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:

4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
cosTheta_i
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
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%1u1
72.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.7%1u2
72.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.7%1cosTheta_i
72.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes19.0ms (0.2%)

Memory
1.7MiB live, 40.2MiB allocated
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 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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 #s(literal 1 binary32) u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
Calls

8 calls:

3.0ms
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
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
72.6%1cosTheta_i
72.6%1u2
72.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.6%1u1
72.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes18.0ms (0.2%)

Memory
-3.2MiB live, 36.5MiB allocated
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 #s(literal -1 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 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))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Calls

8 calls:

4.0ms
cosTheta_i
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
64.0%1cosTheta_i
64.0%1u2
64.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
64.0%1u1
64.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
64.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes9.0ms (0.1%)

Memory
30.2MiB live, 30.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
Calls

8 calls:

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))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
u2
Results
AccuracySegmentsBranch
-0.0%1cosTheta_i
-0.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
-0.0%1u1
-0.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
-0.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
-0.0%1u2
-0.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
-0.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0011325330706313252
0.0014647834468632936
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0011325330706313252
0.0014647834468632936
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004693548660725355
0.005347790662199259
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify72.0ms (0.9%)

Memory
-20.4MiB live, 57.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044239
159239
286239
3164239
4504239
51192239
62330239
75792239
Stop Event
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)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5153961/4294967296 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5153961/4294967296 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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))) (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)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#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))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5153961/4294967296 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5153961/4294967296 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.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))) (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)) (+.f32 (*.f32 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#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))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32))))

soundness519.0ms (6.3%)

Memory
16.3MiB live, 473.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06403571
022563368
0180759
0641720
04552062
016071949
04852355
017212232
043250
072224
1252180
22104180
08861176
035165
057164
1144158
2712158
37025153
08365149
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
Compiler

Compiled 357 to 186 computations (47.9% saved)

preprocess49.0ms (0.6%)

Memory
11.3MiB live, 88.2MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 588 to 204 computations (65.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...