Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze315.0ms (3.2%)

Memory
-37.2MiB live, 337.3MiB 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)

sample2.1s (21.5%)

Memory
-79.8MiB live, 2 284.6MiB allocated
Samples
1.6s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
const: 429.0ms (31.2% of total)
ival-mult: 389.0ms (28.3% of total)
ival-<=: 124.0ms (9% of total)
ival-cos: 108.0ms (7.9% of total)
ival-sqrt: 99.0ms (7.2% of total)
ival-sub: 82.0ms (6% of total)
ival-div: 75.0ms (5.5% of total)
ival-and: 34.0ms (2.5% of total)
ival->: 27.0ms (2% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain132.0ms (1.4%)

Memory
-53.7MiB live, 187.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
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)))
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
51.0ms512×0valid
Compiler

Compiled 123 to 48 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sub: 7.0ms (19.9% of total)
const: 7.0ms (19.9% of total)
ival-mult: 6.0ms (17.1% of total)
ival-cos: 6.0ms (17.1% of total)
ival-div: 4.0ms (11.4% of total)
ival-sqrt: 3.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess40.0ms (0.4%)

Memory
18.9MiB live, 62.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178104
2128104
3215102
4369102
5621102
6781102
7877102
8916102
9936102
10940102
01011
01611
12211
22611
33111
43811
54811
66311
78611
810811
911611
1011811
011811
Stop Event
iter limit
saturated
iter limit
saturated
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 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.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)

simplify5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB 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
12236
22636
33136
43836
54836
66336
78636
810836
911636
1011836
011836
Stop Event
iter limit
saturated
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 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize36.0ms (0.4%)

Memory
-24.3MiB live, 85.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.1484375
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.189785009768442
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.33984375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
25.0ms256×0valid
Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 4.0ms (24.9% of total)
const: 4.0ms (24.9% of total)
ival-cos: 3.0ms (18.7% of total)
ival-div: 2.0ms (12.4% of total)
ival-sqrt: 2.0ms (12.4% of total)
ival-sub: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB 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
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
u2
@0
((* (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
u1
@-inf
((* (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))

simplify198.0ms (2%)

Memory
6.9MiB live, 243.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180750
1523661
21559593
34816545
08111519
Stop Event
iter limit
node limit
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))))
(*.f32 (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (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)))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (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 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u1 u1) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (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 (*.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) u1 u1) (sqrt.f32 u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -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)) (+.f32 (/.f32 #s(literal -3/8 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)))) (+ (* -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 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal -5/16 binary32) u1) #s(literal -3/8 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (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))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 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)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.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))))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (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))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.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)))

rewrite178.0ms (1.8%)

Memory
-10.2MiB live, 229.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
14628
223728
3195428
0973428
Stop Event
iter limit
node limit
iter limit
Counts
5 → 520
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 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (neg.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32)))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 9 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
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(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal -1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal -1 binary32)))
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(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (*.f32 (-.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) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 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 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #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 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #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 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) 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)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #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))) #s(literal -1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(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 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.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) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -1 binary32) (pow.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) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (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) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval59.0ms (0.6%)

Memory
17.7MiB live, 105.6MiB allocated
Compiler

Compiled 14 466 to 2 550 computations (82.4% saved)

prune30.0ms (0.3%)

Memory
-9.5MiB live, 63.8MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New53326559
Fresh000
Picked011
Done000
Total53327560
Accuracy
99.8%
Counts
560 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.8%
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.3%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
52.3%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.7%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
98.2%
(*.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)))
98.6%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
52.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
51.9%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 913 to 773 computations (15.3% saved)

simplify186.0ms (1.9%)

Memory
-15.3MiB live, 223.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff6368
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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 u1 #s(literal 1 binary32))
cost-diff0
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff0
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042350
071348
1118348
2242320
3697312
42728312
57943312
08024306
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 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 (/.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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) 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
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 2 binary32)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 u1 u1)
(*.f32 (fma.f32 u1 u1 #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)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) u1) #s(literal -1/4 binary32)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) u1) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#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 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(literal 1 binary32)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 u1)
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (fma.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
u1
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal 2 binary32)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))
(fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 u1 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize137.0ms (1.4%)

Memory
5.1MiB live, 168.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.3359375
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.359375
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
accuracy25.29096445105871
(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy0.19140625
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy0.26953125
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy0.31640625
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.33203125
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.181972509768442
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.1875
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.2734375
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.0
(-.f32 #s(literal 1 binary32) u1)
accuracy0.140625
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.1484375
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy7.254696895729087
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.15234375
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy0.181972509768442
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.33203125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.4879875488422102
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
Samples
84.0ms244×0valid
3.0ms12×0invalid
Compiler

Compiled 707 to 84 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 23.0ms (37.7% of total)
ival-div: 10.0ms (16.4% of total)
ival-sqrt: 6.0ms (9.8% of total)
ival-cos: 5.0ms (8.2% of total)
ival-sub: 4.0ms (6.6% of total)
const: 4.0ms (6.6% of total)
ival-pow: 4.0ms (6.6% of total)
ival-pow2: 2.0ms (3.3% of total)
ival-add: 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)

series358.0ms (3.7%)

Memory
26.8MiB live, 562.2MiB allocated
Counts
24 → 153
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) 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 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
Outputs
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ -1 u1)
(/ (- u1 1) u1)
-1
(- u1 1)
(* (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))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(+ 1 (* u1 (- (* -2 u1) 1)))
(+ 1 (* u1 (- (* u1 (- (* -2 (pow u1 3)) 2)) 1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt 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)) (- 5 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 5 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 (* 3 u1)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 3 (* 5 u1)))))))
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(+ 1 (pow u1 2))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))
(- 1 (/ 1 u1))
(* u1 (- 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))
(* 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))))))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 3)))))
(* u1 (+ 1 (+ (/ 1 u1) (+ (* 2 (/ 1 (pow u1 4))) (/ 2 (pow u1 3))))))
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -21/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 21/16 (/ 1 (pow u1 3)))))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (* 3 (/ 1 (pow u1 3)))))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* 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))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow u1 2))) (/ 2 (pow u1 3)))) u1)) 1)))
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 3 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 3 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (* 3 (/ 1 u1))) u1))) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(sqrt (/ u1 (- u1 1)))
(+ (sqrt (/ u1 (- u1 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 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)))))))
(sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))))))))
(* 314159265359/50000000000 u2)
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
Calls

9 calls:

TimeVariablePointExpression
69.0ms
cosTheta_i
@0
((* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (+ (* u1 u1) 1) (pow (- 1 u1) 2))
62.0ms
u2
@inf
((* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (+ (* u1 u1) 1) (pow (- 1 u1) 2))
47.0ms
u2
@0
((* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (+ (* u1 u1) 1) (pow (- 1 u1) 2))
34.0ms
u1
@0
((* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (+ (* u1 u1) 1) (pow (- 1 u1) 2))
32.0ms
u2
@-inf
((* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (* (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (/ u1 (/ (- (pow (- 1 u1) 2) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* 314159265359/50000000000 u2) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (+ (* u1 u1) 1) (pow (- 1 u1) 2))

simplify242.0ms (2.5%)

Memory
11.5MiB live, 294.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06353213
118972868
258602845
086202693
Stop Event
iter limit
node limit
Counts
153 → 152
Calls
Call 1
Inputs
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(* (sqrt u1) (sqrt -1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(/ -1 u1)
(/ (- u1 1) u1)
-1
(- u1 1)
(* (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))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(+ 1 (* u1 (- (* -2 u1) 1)))
(+ 1 (* u1 (- (* u1 (- (* -2 (pow u1 3)) 2)) 1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt 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)) (- 5 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 5 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 (* 3 u1)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 3 (* 5 u1)))))))
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(+ 1 (pow u1 2))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3))))))
(- 1 (/ 1 u1))
(* u1 (- 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))
(* 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))))))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 3)))))
(* u1 (+ 1 (+ (/ 1 u1) (+ (* 2 (/ 1 (pow u1 4))) (/ 2 (pow u1 3))))))
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -21/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 21/16 (/ 1 (pow u1 3)))))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (* 3 (/ 1 (pow u1 3)))))
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* 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))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow u1 2))) (/ 2 (pow u1 3)))) u1)) 1)))
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 3 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 3 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (* 3 (/ 1 u1))) u1))) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(sqrt (/ u1 (- u1 1)))
(+ (sqrt (/ u1 (- u1 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- u1 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- u1 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)))))))
(sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))))))))
(* 314159265359/50000000000 u2)
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
Outputs
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) (fma.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 u1 u1) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sqrt -1)))) (* (sqrt u1) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (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 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sqrt -1)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))) (* u1 (+ (* -1/2 (* (sqrt u1) (/ (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sqrt -1)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 u1) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- u1 1) u1)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
-1
#s(literal -1 binary32)
(- u1 1)
(-.f32 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))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 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))
(+ 1 (* u1 (- (* -2 u1) 1)))
(fma.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -2 (pow u1 3)) 2)) 1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -2 binary32)) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))
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(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))))
(fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))))
(+ (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))))))))
(fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt (/ (- 1 u1) u1))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(fma.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(fma.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(* (sqrt (/ u1 (- u1 1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (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))))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- 1 u1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite237.0ms (2.4%)

Memory
1.8MiB live, 277.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042260
071243
1226234
21574226
08266222
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 090
Calls
Call 1
Inputs
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) 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 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
Outputs
(*.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1))
(*.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1) #s(literal -1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) #s(literal -1/4 binary32)) (pow.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 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 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32)) #s(literal -1/8 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32) (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32))))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32) (*.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) #s(literal -1/8 binary32))))
(exp.f32 (fma.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) #s(literal -1/8 binary32) (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32))))
(exp.f32 (fma.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) #s(literal -1/8 binary32) (*.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) #s(literal -1/8 binary32))))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) #s(literal -1/8 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 4 binary32))) #s(literal -1/8 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)) #s(literal -1/4 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) u1))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
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(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 u1))) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.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) u1) (neg.f32 u1)))
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (neg.f32 u1))))) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (neg.f32 u1))))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.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 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.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) (neg.f32 u1)))
(fma.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 (*.f32 (-.f32 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) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)))
(exp.f32 (*.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))

eval397.0ms (4.1%)

Memory
-20.1MiB live, 418.3MiB allocated
Compiler

Compiled 53 793 to 7 501 computations (86.1% saved)

prune192.0ms (2%)

Memory
9.4MiB live, 203.5MiB allocated
Pruning

61 alts after pruning (57 fresh and 4 done)

PrunedKeptTotal
New1 678441 722
Fresh81321
Picked235
Done011
Total1 688611 749
Accuracy
99.9%
Counts
1 749 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.8%
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
98.4%
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.1%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
98.5%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
75.9%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))))
90.5%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
98.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.1%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
75.0%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
76.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
98.8%
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.3%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (/.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
52.4%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.4%
(*.f32 (/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.2%
(*.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)))
4.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
40.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
53.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
15.5%
(*.f32 #s(approx (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
15.6%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
4.8%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
20.2%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.5%
#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)))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
69.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
76.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (neg.f32 u1))))))))
76.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
76.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
76.4%
#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))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 2 540 to 1 992 computations (21.6% saved)

simplify183.0ms (1.9%)

Memory
15.8MiB live, 52.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff224
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
cost-diff544
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
cost-diff0
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff224
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
cost-diff0
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
cost-diff0
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff0
(-.f32 u1 #s(literal 1 binary32))
cost-diff0
(pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32))
cost-diff0
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047340
078340
1138331
2327321
3936317
43043317
55039311
67704311
08147310
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u1 (neg.f32 u1))
(neg.f32 u1)
#s(literal -1/4 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 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 u1)
u1
#s(literal 1/2 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(neg.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(literal 1 binary32)
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
Outputs
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32))
(pow.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1)))
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1 binary32))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal 2 binary32) u1) u1 #s(literal -1 binary32))
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u1 (neg.f32 u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
#s(literal -1/4 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.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 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(fma.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
#s(literal 1/2 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 u1 (-.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)
#s(literal 1 binary32)
u1
(neg.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(literal 1 binary32)
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
u1
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)

localize186.0ms (1.9%)

Memory
-9.4MiB live, 131.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy0.28515625
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
accuracy0.3125
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
accuracy0.33984375
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy0.189785009768442
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.20703125
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy0.28515625
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
accuracy0.33984375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.20703125
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
accuracy3.0091187796885777
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
accuracy7.4605856608148295
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
accuracy7.874921316806859
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
accuracy0.0
(sqrt.f32 u1)
accuracy7.4605856608148295
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy7.895206424514039
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.189785009768442
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1)))
accuracy0.33984375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.359375
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
Samples
157.0ms256×0valid
Compiler

Compiled 631 to 94 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 67.0ms (48.1% of total)
ival-cos: 27.0ms (19.4% of total)
ival-neg: 13.0ms (9.3% of total)
ival-div: 10.0ms (7.2% of total)
ival-sqrt: 8.0ms (5.7% of total)
const: 4.0ms (2.9% of total)
ival-pow: 4.0ms (2.9% of total)
ival-add: 2.0ms (1.4% of total)
ival-sub: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series103.0ms (1.1%)

Memory
2.8MiB live, 197.1MiB allocated
Counts
24 → 139
Calls
Call 1
Inputs
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 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 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1)))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Outputs
-1
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* 3/8 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 5/16 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* 3/8 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* 5/16 (sqrt (pow u1 3))) (* 3/8 (sqrt u1)))))))
(- u1 1)
(+ (* (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) (* (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))))))))))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))
(* 1/2 (pow u1 2))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(- (* 1/2 u1) 1)
(- (* u1 (+ 1/2 (* 1/8 u1))) 1)
(- (* u1 (+ 1/2 (* u1 (+ 1/8 (* 1/16 u1))))) 1)
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(cos (* 314159265359/50000000000 u2))
(* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1)))
(* u1 (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1))))
(* u1 (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 4))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(* u1 (+ (/ 1 u1) (* 1/2 (/ 1 (pow u1 2)))))
(* u1 (+ (/ 3/8 (pow u1 3)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(* u1 (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (+ (* 3/8 (/ 1 (pow u1 3))) (* 5/16 (/ 1 (pow u1 4)))))))
(* u1 (- 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))))
(* 1/2 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* u1 (- (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (- (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (- (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -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))))))
(* (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 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (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 (- (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* -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 (+ (* 1/2 (* (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)))))))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))))))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt 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)))))))))
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(* 314159265359/50000000000 u2)
(* -1 (sqrt (/ 1 u1)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -1 (sqrt (/ 1 u1))))
(+ (* -1 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))))))
(+ (* -1 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))
(* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
u2
@inf
((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* (* u1 u1) 1/2) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ 1 (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))) (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))) (neg (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) (+ (sqrt (/ 1 u1)) (sqrt u1)) (* u2 314159265359/50000000000) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))
28.0ms
u1
@-inf
((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* (* u1 u1) 1/2) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ 1 (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))) (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))) (neg (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) (+ (sqrt (/ 1 u1)) (sqrt u1)) (* u2 314159265359/50000000000) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))
14.0ms
u1
@inf
((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* (* u1 u1) 1/2) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ 1 (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))) (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))) (neg (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) (+ (sqrt (/ 1 u1)) (sqrt u1)) (* u2 314159265359/50000000000) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))
11.0ms
u2
@-inf
((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* (* u1 u1) 1/2) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ 1 (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))) (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))) (neg (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) (+ (sqrt (/ 1 u1)) (sqrt u1)) (* u2 314159265359/50000000000) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))
6.0ms
u2
@0
((* (- u1 1) (- 1 u1)) (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (- u1 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* (* u1 u1) 1/2) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ 1 (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))) (* (neg (sqrt (- 1 u1))) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000))))) (neg (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* 314159265359/50000000000 u2) (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) (+ (sqrt (/ 1 u1)) (sqrt u1)) (* u2 314159265359/50000000000) (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))))

simplify186.0ms (1.9%)

Memory
5.5MiB live, 284.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05572800
116872558
253692348
080902233
Stop Event
iter limit
node limit
Counts
139 → 138
Calls
Call 1
Inputs
-1
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -1 u1))) 1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* 3/8 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 5/16 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* 3/8 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* 5/16 (sqrt (pow u1 3))) (* 3/8 (sqrt u1)))))))
(- u1 1)
(+ (* (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) (* (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))))))))))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))
(* 1/2 (pow u1 2))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(- (* -1 u1) 1)
(- (* u1 (- (* -1 u1) 1)) 1)
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(- (* 1/2 u1) 1)
(- (* u1 (+ 1/2 (* 1/8 u1))) 1)
(- (* u1 (+ 1/2 (* u1 (+ 1/8 (* 1/16 u1))))) 1)
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(cos (* 314159265359/50000000000 u2))
(* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1)))
(* u1 (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1))))
(* u1 (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 4))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(* u1 (+ (/ 1 u1) (* 1/2 (/ 1 (pow u1 2)))))
(* u1 (+ (/ 3/8 (pow u1 3)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(* u1 (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (+ (* 3/8 (/ 1 (pow u1 3))) (* 5/16 (/ 1 (pow u1 4)))))))
(* u1 (- 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))))
(* 1/2 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(/ 1 u1)
(/ (+ 1 (/ 1 u1)) u1)
(/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)
(/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1)
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* u1 (- (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (- (* 1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (- (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -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))))))
(* (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 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(* (pow u1 2) (- (* -1 (/ (- (/ 1 u1) 2) u1)) 1))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (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 (- (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* -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 (+ (* 1/2 (* (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)))))))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))))))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt 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)))))))))
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(* 314159265359/50000000000 u2)
(* -1 (sqrt (/ 1 u1)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -1 (sqrt (/ 1 u1))))
(+ (* -1 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))))))
(+ (* -1 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))
(* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
Outputs
-1
#s(literal -1 binary32)
(- (* 2 u1) 1)
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32))
(- (* u1 (+ 2 (* -1 u1))) 1)
(fma.f32 (-.f32 #s(literal 2 binary32) u1) 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))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* u1 (+ (* 3/8 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)))) u1 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 5/16 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* 3/8 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 5/16 binary32)) (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)))) 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) (* u1 (+ (* 3/8 (sqrt (pow u1 3))) (* 1/2 (sqrt u1)))))
(fma.f32 (fma.f32 #s(literal 3/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) u1 (sqrt.f32 u1))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* u1 (+ (* 5/16 (sqrt (pow u1 3))) (* 3/8 (sqrt u1)))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 5/16 binary32)) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)))) u1 (sqrt.f32 u1))
(- u1 1)
(-.f32 u1 #s(literal 1 binary32))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (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 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.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) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (+.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) (sqrt.f32 u1))
(* 1/2 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* u1 (- (* -1 u1) 1)) 1)
(fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32))
(- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1)
(fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal -1 binary32))
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (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) (/.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u1 u1) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal -1/16 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)))) (*.f32 u1 u1) (/.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)
(- (* 1/2 u1) 1)
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal -1 binary32))
(- (* u1 (+ 1/2 (* 1/8 u1))) 1)
(fma.f32 (fma.f32 #s(literal 1/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))
(- (* u1 (+ 1/2 (* u1 (+ 1/8 (* 1/16 u1))))) 1)
(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))
1
#s(literal 1 binary32)
(+ 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))
(/ 1 (pow u1 2))
(/.f32 (/.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal 1 binary32)) u1) u1)
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/.f32 (/.f32 (fma.f32 (-.f32 u1 #s(literal 2 binary32)) u1 #s(literal 1 binary32)) u1) u1)
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(/.f32 (+.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(* -1 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -1 (pow u1 2))
(*.f32 (neg.f32 u1) u1)
(* (pow u1 2) (- (* 2 (/ 1 u1)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u1 (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1)))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)) u1)
(* u1 (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1)) u1)
(* u1 (+ (* 5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 4))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 4 binary32))) #s(literal 5/16 binary32) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1))) u1)
(* u1 (+ (/ 1 u1) (* 1/2 (/ 1 (pow u1 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32) #s(literal 1 binary32))
(* u1 (+ (/ 3/8 (pow u1 3)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(fma.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32) #s(literal 1 binary32)))
(* u1 (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (+ (* 3/8 (/ 1 (pow u1 3))) (* 5/16 (/ 1 (pow u1 4)))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 5/16 binary32) (pow.f32 u1 #s(literal 4 binary32))) (/.f32 #s(literal 3/8 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1 #s(literal 1 binary32)))
(* u1 (- 1 (/ 1 u1)))
(neg.f32 (-.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)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -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 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(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))))
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(* -1 (* u1 (- (* -1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal 1/8 binary32))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 u1))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) 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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 u1))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (neg.f32 u1))
(* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))
(+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(fma.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1)))
(+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1))))))) (* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (sqrt u1)))
(fma.f32 (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt (/ (- 1 u1) u1))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* -1 (sqrt (/ 1 u1)))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -1 (sqrt (/ 1 u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(+ (* -1 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u2 u2) #s(literal -58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32)))))
(* (pow (/ -1 (* (- 1 u1) (- u1 1))) 1/4) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 u1) (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))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite212.0ms (2.2%)

Memory
6.0MiB live, 239.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047265
078274
1236259
21511217
08530204
Stop Event
iter limit
node limit
iter limit
Counts
24 → 984
Calls
Call 1
Inputs
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 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 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1)))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
Outputs
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.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 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 u1 #s(literal -1 binary32)) #s(literal 2 binary32))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(*.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 (-.f32 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32)))))
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(*.f32 (-.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(*.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(*.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(/.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))) (*.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (fma.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))))
(/.f32 (neg.f32 (-.f32 u1 (/.f32 #s(literal 1 binary32) u1))) (neg.f32 (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))))) (neg.f32 (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (*.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) u1)) (*.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(/.f32 (-.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (neg.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))) (neg.f32 (+.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1))))))
(/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(/.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (+.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1)))))
(/.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32))) (-.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1)))) (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (/.f32 u1 (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(fma.f32 (*.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (sqrt.f32 u1)) (*.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (sqrt.f32 u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal -1/2 binary32))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 (neg.f32 u1) #s(literal -1/2 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (pow.f32 u1 #s(literal -1/4 binary32)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sqrt.f32 u1))
(fma.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1 (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (neg.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) #s(literal -1 binary32))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (neg.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 u1))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (neg.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(pow.f32 (exp.f32 (log.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))

eval117.0ms (1.2%)

Memory
0.5MiB live, 275.6MiB allocated
Compiler

Compiled 28 993 to 4 410 computations (84.8% saved)

prune142.0ms (1.5%)

Memory
-21.0MiB live, 181.2MiB allocated
Pruning

80 alts after pruning (74 fresh and 6 done)

PrunedKeptTotal
New980431 023
Fresh213152
Picked325
Done044
Total1 004801 084
Accuracy
99.9%
Counts
1 084 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.1%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
98.5%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
76.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))))
90.5%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
98.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
97.8%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
97.9%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
7.0%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
84.0%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
76.0%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
76.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
72.3%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
52.7%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
98.1%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.2%
(*.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)))
98.5%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
53.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.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)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.6%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
75.1%
(*.f32 #s(approx (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
20.2%
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.8%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
69.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
76.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
76.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
76.4%
#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))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
13.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
14.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (sqrt.f32 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)))
61.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 3 829 to 2 860 computations (25.3% saved)

simplify277.0ms (2.9%)

Memory
32.8MiB live, 191.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32))))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
cost-diff0
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
cost-diff128
(/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
cost-diff0
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff64
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff544
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046416
076416
1138410
2297397
3589397
41838373
55835373
08161372
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
u1
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
(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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
#s(literal 1/2 binary32)
(*.f32 u1 u1)
u1
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 u1)
u1
#s(literal 1/2 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
(/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))
(neg.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
#s(literal 1 binary32)
(-.f32 (/.f32 #s(literal 1 binary32) u1) u1)
(/.f32 #s(literal 1 binary32) u1)
u1
(-.f32 u1 #s(literal -1 binary32))
#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 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.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 (-.f32 (*.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 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(neg.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
#s(literal 1/2 binary32)
(*.f32 u1 u1)
u1
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (sqrt.f32 u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (sqrt.f32 u1)))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
#s(literal 1/2 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
(/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 u1)
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
#s(literal 1 binary32)
(-.f32 (/.f32 #s(literal 1 binary32) u1) u1)
(/.f32 #s(literal 1 binary32) u1)
u1
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize223.0ms (2.3%)

Memory
-1.5MiB live, 273.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.189785009768442
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.21484375
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
accuracy0.33984375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34212875976844204
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
accuracy0.53515625
(/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))
accuracy3.0091187796885777
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
accuracy7.4605856608148295
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
accuracy7.874921316806859
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))
accuracy0.20703125
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
accuracy3.0091187796885777
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
accuracy7.4605856608148295
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
accuracy7.874921316806859
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
accuracy0.1484375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy4.055173879990231
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy7.4605856608148295
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
accuracy8.536568162366951
(fma.f32 u1 u1 u1)
accuracy0.1484375
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
accuracy0.189785009768442
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.33984375
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.42578125
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
Samples
136.0ms256×0valid
Compiler

Compiled 729 to 91 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-neg: 39.0ms (41.9% of total)
ival-mult: 14.0ms (15.1% of total)
ival-sqrt: 12.0ms (12.9% of total)
ival-div: 10.0ms (10.8% of total)
ival-sub: 6.0ms (6.5% of total)
ival-add: 5.0ms (5.4% of total)
const: 4.0ms (4.3% of total)
ival-cos: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-17.0MiB live, 64.9MiB allocated
Counts
23 → 97
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
Outputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (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) (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))))))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))
(* 1/2 (pow u1 2))
(* 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)))))))
(* (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))))))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 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)))))
(+ (* -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)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* 1/2 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(/ -1 u1)
(* -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)
(+ (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 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -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)
(* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (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 (/ (+ 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 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)))))))))
(sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))))))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
u2
@inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* 1/2 (* u1 u1)) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* 1/2 (* u1 u1)) (/ (neg u1) (neg (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (/ (neg u1) (neg (sqrt u1)))) (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1)) (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (/ 1 (- (/ 1 u1) u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (+ (sqrt (/ 1 u1)) (sqrt u1)))
5.0ms
u1
@0
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* 1/2 (* u1 u1)) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* 1/2 (* u1 u1)) (/ (neg u1) (neg (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (/ (neg u1) (neg (sqrt u1)))) (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1)) (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (/ 1 (- (/ 1 u1) u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (+ (sqrt (/ 1 u1)) (sqrt u1)))
4.0ms
u1
@-inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* 1/2 (* u1 u1)) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* 1/2 (* u1 u1)) (/ (neg u1) (neg (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (/ (neg u1) (neg (sqrt u1)))) (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1)) (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (/ 1 (- (/ 1 u1) u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (+ (sqrt (/ 1 u1)) (sqrt u1)))
3.0ms
u1
@inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* 1/2 (* u1 u1)) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* 1/2 (* u1 u1)) (/ (neg u1) (neg (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (/ (neg u1) (neg (sqrt u1)))) (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1)) (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (/ 1 (- (/ 1 u1) u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (+ (sqrt (/ 1 u1)) (sqrt u1)))
3.0ms
u2
@-inf
((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* 1/2 (* u1 u1)) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) (* 1/2 (* u1 u1)) (/ (neg u1) (neg (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (/ (neg u1) (neg (sqrt u1)))) (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1)) (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (/ 1 (- (/ 1 u1) u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (+ (sqrt (/ 1 u1)) (sqrt u1)))

simplify183.0ms (1.9%)

Memory
14.8MiB live, 256.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03992048
112271739
241111530
080851453
Stop Event
iter limit
node limit
Counts
97 → 96
Calls
Call 1
Inputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (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) (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))))))
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))
(* 1/2 (pow u1 2))
(* 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)))))))
(* (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))))))))))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 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)))))
(+ (* -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)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* 1/2 (sqrt (pow u1 5)))
(* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))
(/ -1 u1)
(* -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)
(+ (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 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -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)
(* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (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 (/ (+ 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 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)))))))))
(sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))))))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(*.f32 (neg.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)) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32)) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))))
(fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #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 (/ 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 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (*.f32 u1 #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 u1))))
(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 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (+.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) (sqrt.f32 u1))
(* 1/2 (pow u1 2))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) u1)
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (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) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (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))))))))))))
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1)) (sqrt.f32 u1))
(sqrt (/ 1 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)
(/.f32 (+.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(*.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1 u1))
(* -1 (* u1 (+ 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)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* 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))))
(fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 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)))))
(fma.f32 (*.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
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(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(+ (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1)))))))))
(fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (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))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ 1 u1) (- (/ 1 u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite151.0ms (1.6%)

Memory
-6.8MiB live, 231.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046320
076304
1289265
22119245
09836237
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 030
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
Outputs
(expm1.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(expm1.f32 (*.f32 (log.f32 (sqrt.f32 u1)) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 u1) #s(literal 1 binary32)))
(expm1.f32 (log.f32 u1))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #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 #s(literal -1 binary32)) u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 u1) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)))) (neg.f32 (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.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 #s(literal -1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32))) (fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (*.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
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(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (hypot.f32 (-.f32 #s(literal 1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 (sqrt.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (sqrt.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (expm1.f32 (neg.f32 (log.f32 u1))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))))
(/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1))))))
(/.f32 (sqrt.f32 u1) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1)))) #s(literal -1 binary32))
(pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32))))
(*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))))) (neg.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (*.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) u1)) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))
(/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) (*.f32 (sqrt.f32 u1) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) (*.f32 (sqrt.f32 u1) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(/.f32 (+.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal 3/2 binary32))) u1)
(/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) (*.f32 (sqrt.f32 u1) (-.f32 #s(literal 0 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))) (neg.f32 (+.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1))))))
(/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))) (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (+.f32 u1 (expm1.f32 (neg.f32 (log.f32 u1)))))
(/.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32))))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (neg.f32 (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (neg.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))))
(-.f32 (/.f32 u1 (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) u1) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32)) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1)) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1)) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal -3 binary32)) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (pow.f32 u1 #s(literal -2 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal -3/2 binary32)) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal -1/2 binary32))) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal -1 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal -1/4 binary32)) (pow.f32 u1 #s(literal -1/4 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (sqrt.f32 u1) #s(literal -1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1))
(fma.f32 (sqrt.f32 u1) #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 1 binary32) (sqrt.f32 u1))
(fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1 (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(fma.f32 u1 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (-.f32 (/.f32 #s(literal -1 binary32) u1) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 u1) u1 (pow.f32 u1 #s(literal -3/2 binary32)))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))
(+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))

eval95.0ms (1%)

Memory
-2.2MiB live, 181.3MiB allocated
Compiler

Compiled 27 808 to 3 741 computations (86.5% saved)

prune111.0ms (1.1%)

Memory
7.7MiB live, 216.3MiB allocated
Pruning

88 alts after pruning (80 fresh and 8 done)

PrunedKeptTotal
New81516831
Fresh56469
Picked235
Done156
Total82388911
Accuracy
99.9%
Counts
911 → 88
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.5%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
98.1%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
98.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
98.5%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
76.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))))
90.5%
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
98.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
97.8%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
97.9%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
97.6%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
7.0%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
84.0%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
76.0%
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
76.3%
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
72.3%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
52.3%
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
98.1%
(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
98.2%
(*.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)))
98.5%
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.0%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
63.6%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
53.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.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)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.6%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.1%
(*.f32 #s(approx (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
20.2%
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.8%
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
76.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
69.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
76.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
76.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
76.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
76.4%
#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))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
61.4%
#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))))
69.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
59.9%
#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))))
-0.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
14.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
5.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (sqrt.f32 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
61.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
61.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))))
61.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
98.6%
#s(approx (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
76.2%
#s(approx (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))))
Compiler

Compiled 5 380 to 2 201 computations (59.1% saved)

regimes306.0ms (3.2%)

Memory
-2.3MiB live, 507.1MiB allocated
Counts
130 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
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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 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1)) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) 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 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (*.f32 #s(literal 1 binary32) (neg.f32 u1))))))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (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 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.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 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1))) (*.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32)) #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 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (/.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (exp.f32 (*.f32 (log.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
Outputs
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

41.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
39.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
39.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
36.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
36.0ms
u2
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes247.0ms (2.5%)

Memory
13.7MiB live, 463.0MiB allocated
Counts
111 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (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 u1 u1)) (+.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)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (/.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 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
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(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.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 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

33.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
31.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
30.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
29.0ms
u2
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes339.0ms (3.5%)

Memory
-28.3MiB live, 252.4MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (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 u1 u1)) (+.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)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (/.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 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 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 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (sqrt.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.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))))
Calls

8 calls:

83.0ms
u1
19.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
87.6%1cosTheta_i
93.8%2u1
93.9%2u2
94.0%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.8%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.8%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.9%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes206.0ms (2.1%)

Memory
23.3MiB live, 179.6MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (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 u1 u1)) (+.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)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (/.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 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 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 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (sqrt.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))) (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

8 calls:

44.0ms
cosTheta_i
39.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
28.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms
u2
18.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
76.5%1cosTheta_i
86.9%2u1
86.9%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
86.9%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.2%2u2
89.2%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.4%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes224.0ms (2.3%)

Memory
-7.5MiB live, 149.4MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.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 (*.f32 (/.f32 #s(literal 1 binary32) u1) (*.f32 u1 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))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #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 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- (/ 1 u1) u1)) (- u1 -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (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 u1 u1)) (+.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)) (neg.f32 (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (/.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 #s(literal 1 binary32) u1)) (*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fabs.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 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 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (sqrt.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.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 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)) (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (/ 1 (* (neg (sqrt u1)) (cos (* u2 314159265359/50000000000)))) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (/ (* (- u1 1) (- 1 u1)) (* u1 (neg u1))) -1/4) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 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)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

77.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
37.0ms
u1
37.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
20.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms
u2
Results
AccuracySegmentsBranch
76.5%1u1
76.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
76.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
76.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
76.5%1u2
76.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes48.0ms (0.5%)

Memory
-3.7MiB live, 34.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 #s(approx (/ u1 (- 1 u1)) (fma.f32 (*.f32 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:

31.0ms
u1
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
69.4%1cosTheta_i
69.4%1u1
69.4%1u2
69.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
69.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
69.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
69.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
69.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes14.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Accuracy

Total -0.6b remaining (-4.6%)

Threshold costs -0.6b (-4.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Calls

8 calls:

2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
u1
Results
AccuracySegmentsBranch
61.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
61.4%1u2
61.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.4%1u1
61.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.4%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.055654920637607574
0.057824309915304184
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007613300811499357
0.0077764424495399
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify138.0ms (1.4%)

Memory
-19.7MiB live, 61.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047181
162181
280181
3105181
4132181
5165180
6232180
7421180
84299180
96854180
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (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)))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7516193/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.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)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 2066953/268435456 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Outputs
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (neg.f32 u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) #s(literal -1/4 binary32)) (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)))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7516193/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.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)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 2066953/268435456 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness1.1s (11.2%)

Memory
19.4MiB live, 690.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06353213
118972868
258602845
086202693
0180750
1523661
21559593
34816545
08111519
046320
076304
1289265
22119245
09836237
01028
01628
14628
223728
3195428
0973428
042260
071243
1226234
21574226
08266222
05572800
116872558
253692348
080902233
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 284 to 144 computations (49.3% saved)

preprocess59.0ms (0.6%)

Memory
-12.4MiB live, 64.5MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 598 to 316 computations (47.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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