Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 11.3s)

start0.0ms (0%)

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

analyze426.0ms (3.8%)

Memory
34.8MiB live, 556.9MiB allocated; 118ms collecting garbage
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)

sample2.4s (21.7%)

Memory
45.1MiB live, 2 662.6MiB allocated; 572ms collecting garbage
Samples
1.8s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 487.0ms (37.6% of total)
ival-<=: 219.0ms (16.9% of total)
ival-mult: 170.0ms (13.1% of total)
ival-sqrt: 126.0ms (9.7% of total)
ival-cos: 96.0ms (7.4% of total)
ival-div: 75.0ms (5.8% of total)
ival-sub: 52.0ms (4% of total)
ival-and: 34.0ms (2.6% of total)
ival->: 26.0ms (2% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain305.0ms (2.7%)

Memory
-11.8MiB live, 230.9MiB allocated; 26ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.99991375207901 0.00053888134425506 0.2451222985982895)(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-01255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-010
Precision?
0.0
Recall?
0/0
Samples
102.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 61.0ms (71.7% of total)
const: 7.0ms (8.2% of total)
ival-cos: 6.0ms (7% of total)
ival-div: 4.0ms (4.7% of total)
ival-sub: 3.0ms (3.5% of total)
ival-sqrt: 3.0ms (3.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess674.0ms (6%)

Memory
-6.9MiB live, 524.8MiB allocated; 82ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
179106
2141106
3225104
4380102
5915102
66416102
01011
01611
12711
24311
36511
411511
536811
6284511
0800611
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.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)

simplify1.0s (9%)

Memory
-77.4MiB live, 636.6MiB allocated; 911ms collecting garbage
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
12736
24336
36536
411536
536836
6284536
0800636
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize150.0ms (1.3%)

Memory
2.5MiB live, 124.4MiB allocated; 62ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.12890625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.19140625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.3046875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
143.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sub: 48.0ms (78.1% of total)
ival-mult: 3.0ms (4.9% of total)
ival-cos: 3.0ms (4.9% of total)
const: 3.0ms (4.9% of total)
ival-div: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-33.1MiB live, 13.9MiB allocated; 4ms collecting garbage
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
4.0ms
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
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))

simplify166.0ms (1.5%)

Memory
6.9MiB live, 239.1MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180760
1626670
22846655
08489617
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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1/2 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/8 binary32) u1))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) u1)) u1))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (*.f32 #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))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 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)))

rewrite78.0ms (0.7%)

Memory
-8.7MiB live, 89.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
14928
024228
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 27
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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval7.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 512 to 329 computations (78.2% saved)

prune10.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New551368
Fresh000
Picked011
Done000
Total551469
Accuracy
99.7%
Counts
69 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.7%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
89.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
93.0%
#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))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
88.0%
#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)))))
79.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 625 to 451 computations (27.8% saved)

simplify341.0ms (3%)

Memory
-21.6MiB live, 355.5MiB allocated; 67ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 u1 u1)
cost-diff0
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
cost-diff5
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
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
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 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
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
cost-diff0
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041308
068308
1114308
2274300
31012300
43711300
08053298
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.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
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 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)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(+.f32 (sqrt.f32 (/.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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
u1
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (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)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (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)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(+.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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))

localize115.0ms (1%)

Memory
23.9MiB live, 163.0MiB allocated; 32ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
accuracy0.23828125
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
accuracy0.30078125
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy2.6613873509523582
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
accuracy0.12109375
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.125
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.25390625
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.10647417126051817
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy0.125
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy7.252382104546608
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.0
(-.f32 #s(literal 1 binary32) u1)
accuracy0.11328125
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.17578125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy6.489611991100913
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.125
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.17578125
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
accuracy0.30078125
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.34765625
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
Samples
72.0ms250×0valid
6.0ms5exit
Compiler

Compiled 240 to 32 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 15.0ms (27.4% of total)
ival-sqrt: 14.0ms (25.6% of total)
const: 7.0ms (12.8% of total)
ival-cos: 6.0ms (11% of total)
ival-div: 5.0ms (9.1% of total)
ival-sub: 3.0ms (5.5% of total)
adjust: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
12.4MiB live, 57.2MiB allocated; 9ms collecting garbage
Counts
23 → 79
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 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 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 u1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
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)))
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(* 1/2 (pow u1 2))
(pow u1 2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) 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))
(* (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 (* (sqrt (pow u1 5)) (cos (* -314159265359/50000000000 u2))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* -314159265359/50000000000 u2))))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* -314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* -314159265359/50000000000 u2))))))
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(+ (* 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)))))))
(* -1/2 (* (sqrt (pow u1 5)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (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)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))))
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt u1)) (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))))))
(* 314159265359/50000000000 u2)
(* -314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(+ (* 1/2 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt u1) (sqrt (/ 1 u1)))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (+ (* (* (* u1 u1) 1/2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (sqrt u1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (* u1 u1) 1/2) (* u1 u1) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (+ (sqrt (/ 1 u1)) (sqrt u1)))
5.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (+ (* (* (* u1 u1) 1/2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (sqrt u1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (* u1 u1) 1/2) (* u1 u1) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (+ (sqrt (/ 1 u1)) (sqrt u1)))
4.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (+ (* (* (* u1 u1) 1/2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (sqrt u1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (* u1 u1) 1/2) (* u1 u1) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (+ (sqrt (/ 1 u1)) (sqrt u1)))
3.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (+ (* (* (* u1 u1) 1/2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (sqrt u1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (* u1 u1) 1/2) (* u1 u1) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (+ (sqrt (/ 1 u1)) (sqrt u1)))
3.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (+ (* (* (* u1 u1) 1/2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt (/ 1 u1)) (sqrt u1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (* u1 u1) 1/2) (* u1 u1) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (* -314159265359/50000000000 u2) (+ (sqrt (/ 1 u1)) (sqrt u1)))

simplify169.0ms (1.5%)

Memory
12.1MiB live, 193.7MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03481605
111971422
258841407
082311322
Stop Event
iter limit
node limit
Counts
79 → 78
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))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(+ (* u1 (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(* 1/2 (pow u1 2))
(pow u1 2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (sqrt (pow u1 3))) 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))
(* (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 (* (sqrt (pow u1 5)) (cos (* -314159265359/50000000000 u2))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* -314159265359/50000000000 u2))))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* -314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* -314159265359/50000000000 u2))))))
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(+ (* 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)))))))
(* -1/2 (* (sqrt (pow u1 5)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (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)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))))
(+ (sqrt u1) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt u1)) (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))))))
(* 314159265359/50000000000 u2)
(* -314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(+ (* 1/2 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt u1) (sqrt (/ 1 u1)))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (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 #s(literal 1/2 binary32) u1) (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 (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 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 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))
(* (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 (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(* 1/2 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(pow u1 2)
(*.f32 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)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)
(* 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)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) u1)
(* 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))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) u1)
(* 1/2 (* (sqrt (pow u1 5)) (cos (* -314159265359/50000000000 u2))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* -314159265359/50000000000 u2))))))
(*.f32 (*.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* -314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (cos (* -314159265359/50000000000 u2))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (pow.f32 u1 #s(literal 3 binary32)))
(* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))
(*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) 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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 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 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 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 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) (neg.f32 u1))) (neg.f32 u1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #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 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 u1))) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(* -1 (* (sqrt u1) (sqrt -1)))
(*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 u1))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(*.f32 (*.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)))) u1)
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.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))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(*.f32 (neg.f32 u1) (fma.f32 (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) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (*.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))))))
(* -1/2 (* (sqrt (pow u1 5)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))))
(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32)))) (pow.f32 u1 #s(literal 3 binary32)))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))) u1)))
(* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 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 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (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) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 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) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))) (*.f32 u2 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) (+ (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt u1)) (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)))) (*.f32 u2 u2) (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))) (*.f32 u2 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)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* -314159265359/50000000000 u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+ (* 1/2 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (+ (sqrt u1) (sqrt (/ 1 u1)))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (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))))

rewrite64.0ms (0.6%)

Memory
8.9MiB live, 97.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041231
068229
1182226
01058226
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 172
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 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 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 u1)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(*.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
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(fma.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(fma.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1) (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u1 u1) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(fma.f32 u1 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(fma.f32 u1 (*.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 u1 (*.f32 u1 (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
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(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) #s(literal 3 binary32)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (pow.f32 (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (pow.f32 (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (sqrt.f32 u1)))
(+.f32 (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (*.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 u1)) (neg.f32 u1))
(*.f32 (*.f32 #s(literal 1/2 binary32) u1) u1)
(*.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 (*.f32 #s(literal 1/2 binary32) u1))
(*.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 u1)))
(*.f32 (neg.f32 u1) (neg.f32 u1))
(*.f32 u1 u1)
(pow.f32 (neg.f32 u1) #s(literal 2 binary32))
(pow.f32 u1 #s(literal 2 binary32))
(fabs.f32 (*.f32 u1 u1))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 u1) u1))
(neg.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) u1) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2))
(neg.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.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 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 3 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 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 3 binary32))) (+.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (sqrt.f32 u1) u1 (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 3 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))))
(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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1))
(fma.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(+.f32 (/.f32 (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 3 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 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32)))

eval68.0ms (0.6%)

Memory
-38.9MiB live, 61.1MiB allocated; 23ms collecting garbage
Compiler

Compiled 9 621 to 1 104 computations (88.5% saved)

prune62.0ms (0.6%)

Memory
32.8MiB live, 73.8MiB allocated; 10ms collecting garbage
Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New27525300
Fresh268
Picked325
Done011
Total28034314
Accuracy
100.0%
Counts
314 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.5%
(/.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
98.3%
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (hypot.f32 #s(literal -1 binary32) (sqrt.f32 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))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
92.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
90.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
89.3%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%
(*.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 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) u1) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
90.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
91.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
75.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
75.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
90.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
93.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
88.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
79.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 1 535 to 1 186 computations (22.7% saved)

simplify926.0ms (8.2%)

Memory
15.5MiB live, 749.0MiB allocated; 128ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff3
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff3
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 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))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
cost-diff0
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff3
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037301
061283
1102283
2197283
3384283
4650283
51257283
66345283
08504283
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 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)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 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)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 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)
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
Outputs
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 2 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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)
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 2 binary32)

localize261.0ms (2.3%)

Memory
-10.7MiB live, 209.2MiB allocated; 33ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.12890625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.26171875
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.34765625
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy0.07385504138909577
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
accuracy0.12890625
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.328125
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy7.722213158992568
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.1565500609259798
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
accuracy0.26171875
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.36328125
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy2.792106213591219
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
accuracy0.06300501178494128
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
accuracy0.12890625
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
accuracy3.784409583765288
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
accuracy7.722213158992568
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.12890625
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.12890625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.26171875
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.328125
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
Samples
234.0ms256×0valid
Compiler

Compiled 262 to 40 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-sin: 148.0ms (68.8% of total)
ival-mult: 31.0ms (14.4% of total)
const: 15.0ms (7% of total)
ival-div: 5.0ms (2.3% of total)
ival-add: 5.0ms (2.3% of total)
ival-sqrt: 5.0ms (2.3% of total)
ival-cos: 3.0ms (1.4% of total)
ival-sub: 2.0ms (0.9% of total)
ival-pi: 1.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-14.4MiB live, 30.6MiB allocated; 5ms collecting garbage
Counts
18 → 103
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
(+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -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)))))))
(+ (* 1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))
(+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
u2
@0
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
3.0ms
u2
@-inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
3.0ms
u2
@inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
2.0ms
u1
@inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
2.0ms
u1
@-inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))

simplify193.0ms (1.7%)

Memory
33.7MiB live, 169.7MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04302489
114922270
266532249
081672069
Stop Event
iter limit
node limit
Counts
103 → 103
Calls
Call 1
Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
(+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* -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)))))))
(+ (* 1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))
(+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
1
#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))
(* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(fma.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
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(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) (neg.f32 u1))) (neg.f32 u1)))
(sin (* 1/2 (PI)))
(sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) u2 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2 (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) u2 (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 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))))
(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))))
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(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(fma.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) u2 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2 (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) u2 (*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
-98696044010906577398881/5000000000000000000000
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -314159265359/50000000000 u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) u2) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))
(*.f32 (neg.f32 u2) (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))

rewrite172.0ms (1.5%)

Memory
-5.9MiB live, 95.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037187
061168
1212168
01379168
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
18 → 191
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
Outputs
(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(-.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(cos.f32 (neg.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.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)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
(fma.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
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(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
(fma.f32 u2 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
(+.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 u2)) (neg.f32 u2))
(*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (fabs.f32 u2)) (fabs.f32 u2))
(*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2)
(*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(*.f32 (fabs.f32 u2) (*.f32 (fabs.f32 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (neg.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 3 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (neg.f32 (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 3 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 3 binary32)) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)))) (/.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)))))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2))) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)))) (neg.f32 (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (-.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 (/.f32 (*.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval46.0ms (0.4%)

Memory
-12.7MiB live, 77.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 11 775 to 1 228 computations (89.6% saved)

prune41.0ms (0.4%)

Memory
-3.3MiB live, 94.4MiB allocated; 9ms collecting garbage
Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New37725402
Fresh111526
Picked415
Done033
Total39244436
Accuracy
100.0%
Counts
436 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
90.6%
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%
(*.f32 (/.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
90.2%
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
92.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
90.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
89.3%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.3%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
90.0%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) u1) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
91.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.7%
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
67.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
75.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
75.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
75.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
71.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
67.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
5.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
98.9%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
90.0%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1))))
99.2%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
90.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 2 154 to 1 704 computations (20.9% saved)

simplify561.0ms (5%)

Memory
-4.6MiB live, 412.2MiB allocated; 136ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
cost-diff3
(sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
cost-diff4
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
cost-diff0
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 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))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
cost-diff0
#s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
cost-diff0
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
cost-diff0
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff3
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055368
081356
1125349
2217349
3379349
4651334
51407334
67328334
08116334
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 1/2 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 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)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(/.f32 (sqrt.f32 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)
(sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
u2
#s(literal -314159265359/50000000000 binary32)
Outputs
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 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 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(PI.f32)
#s(literal 1/2 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.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)
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(PI.f32)
#s(literal 1/2 binary32)
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(*.f32 (/.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)
(sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32))
#s(literal 2 binary32)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
u2
#s(literal -314159265359/50000000000 binary32)

localize144.0ms (1.3%)

Memory
32.2MiB live, 259.9MiB allocated; 41ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.26171875
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.3046875
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
accuracy0.80499392069417
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
accuracy0.07385504138909577
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
accuracy0.12890625
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
accuracy0.328125
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
accuracy7.722213158992568
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy0.12890625
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
accuracy0.12890625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.26171875
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy3.784409583765288
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
accuracy0.39453125
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy3.784409583765288
#s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
accuracy7.722213158992568
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy30.03396583830385
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
accuracy0.11328125
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.12890625
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.19140625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.328125
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
Samples
105.0ms256×0valid
Compiler

Compiled 285 to 42 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-sin: 23.0ms (29.1% of total)
ival-mult: 18.0ms (22.8% of total)
const: 10.0ms (12.7% of total)
ival-sqrt: 7.0ms (8.9% of total)
ival-div: 6.0ms (7.6% of total)
ival-pi: 5.0ms (6.3% of total)
ival-add: 4.0ms (5.1% of total)
ival-cos: 3.0ms (3.8% of total)
ival-sub: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Counts
22 → 83
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(* (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))))
(* (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
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* 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 (* (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 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -314159265359/50000000000 u2)
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u2
@inf
((sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (* (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* (* u2 u2) -98696044010906577398881/5000000000000000000000) (cos (* 314159265359/50000000000 u2)) (* u2 -314159265359/50000000000))
2.0ms
u2
@-inf
((sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (* (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* (* u2 u2) -98696044010906577398881/5000000000000000000000) (cos (* 314159265359/50000000000 u2)) (* u2 -314159265359/50000000000))
1.0ms
u2
@0
((sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (* (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* (* u2 u2) -98696044010906577398881/5000000000000000000000) (cos (* 314159265359/50000000000 u2)) (* u2 -314159265359/50000000000))
1.0ms
u1
@-inf
((sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (* (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* (* u2 u2) -98696044010906577398881/5000000000000000000000) (cos (* 314159265359/50000000000 u2)) (* u2 -314159265359/50000000000))
1.0ms
u1
@inf
((sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (* (sin (+ (* -314159265359/50000000000 u2) (* (PI) 1/2))) (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* u2 -314159265359/50000000000)))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* (* u2 u2) -98696044010906577398881/5000000000000000000000) (cos (* 314159265359/50000000000 u2)) (* u2 -314159265359/50000000000))

simplify181.0ms (1.6%)

Memory
17.1MiB live, 242.5MiB allocated; 49ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03601810
112321639
254971624
086031502
Stop Event
iter limit
node limit
Counts
83 → 82
Calls
Call 1
Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(* (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))))
(* (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
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* 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 (* (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 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* -314159265359/50000000000 u2)
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
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u1
(* u1 (+ 1 u1))
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(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #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 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 u1))) u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(* -1 (* (sqrt u1) (sqrt -1)))
(*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 u1))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(*.f32 (*.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)))) u1)
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(*.f32 (neg.f32 u1) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.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))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(*.f32 (neg.f32 u1) (fma.f32 (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) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (*.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))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(sin (* 1/2 (PI)))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(fma.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -314159265359/50000000000 binary32)) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(* -314159265359/50000000000 u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)))

rewrite156.0ms (1.4%)

Memory
-53.7MiB live, 161.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055265
081240
1247240
01340237
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 187
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
Outputs
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(-.f32 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32)))))
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(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
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#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
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(*.f32 u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32))
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(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval35.0ms (0.3%)

Memory
-0.7MiB live, 98.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 119 to 1 270 computations (88.6% saved)

prune40.0ms (0.4%)

Memory
8.8MiB live, 103.2MiB allocated; 3ms collecting garbage
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New33013343
Fresh62935
Picked325
Done044
Total33948387
Accuracy
100.0%
Counts
387 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
90.6%
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
87.7%
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%
(*.f32 (/.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
87.3%
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
92.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
90.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
89.3%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.4%
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
96.3%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
87.1%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal 1 binary32)) u1) (+.f32 (+.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.7%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
91.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.4%
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
75.7%
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
67.9%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
75.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
75.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
75.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.2%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
71.7%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
68.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
5.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
5.3%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
98.9%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
90.0%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
99.1%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
91.6%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))))
88.0%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
99.1%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (* (PI) 1/2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
90.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))))
79.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
79.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
79.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 3 207 to 1 300 computations (59.5% saved)

regimes151.0ms (1.3%)

Memory
4.3MiB live, 290.5MiB allocated; 10ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))))
Outputs
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

8 calls:

20.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.0ms
u2
19.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.0ms
u1
19.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
99.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.2%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%1cosTheta_i
99.2%1u1
99.2%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes118.0ms (1%)

Memory
11.6MiB live, 160.2MiB allocated; 15ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

25.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
25.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
u2
11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
u1
Results
AccuracySegmentsBranch
99.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%1cosTheta_i
99.1%1u1
99.1%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes112.0ms (1%)

Memory
7.2MiB live, 142.6MiB allocated; 9ms collecting garbage
Counts
40 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

8 calls:

36.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms
u2
12.0ms
u1
10.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.2%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.3%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%1cosTheta_i
97.7%2u1
98.3%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes82.0ms (0.7%)

Memory
-47.2MiB live, 54.1MiB allocated; 6ms collecting garbage
Counts
39 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
Calls

4 calls:

48.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
u2
9.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
98.0%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.1%2u2
98.0%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes60.0ms (0.5%)

Memory
10.4MiB live, 57.0MiB allocated; 2ms collecting garbage
Counts
35 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

4 calls:

33.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
u2
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
97.8%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
97.8%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.9%2u2
Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes72.0ms (0.6%)

Memory
35.7MiB live, 81.5MiB allocated; 2ms collecting garbage
Counts
34 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
Calls

7 calls:

20.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms
u1
8.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms
u2
Results
AccuracySegmentsBranch
92.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.7%1u1
92.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.1%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
96.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.6%2u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes43.0ms (0.4%)

Memory
-28.1MiB live, 24.2MiB allocated; 4ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

2 calls:

33.0ms
u2
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
96.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.5%2u2
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes35.0ms (0.3%)

Memory
-3.0MiB live, 42.9MiB allocated; 3ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

4 calls:

9.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
u2
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
92.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.7%1u2
Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes63.0ms (0.6%)

Memory
25.3MiB live, 71.8MiB allocated; 2ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Outputs
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms
u1
7.0ms
cosTheta_i
Results
AccuracySegmentsBranch
92.6%1cosTheta_i
92.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.6%1u1
92.6%1u2
92.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes114.0ms (1%)

Memory
-8.4MiB live, 86.5MiB allocated; 9ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

58.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
14.0ms
u1
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
90.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.8%1u1
90.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
90.8%1cosTheta_i
90.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.8%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes77.0ms (0.7%)

Memory
-14.8MiB live, 76.9MiB allocated; 4ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
Outputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

8 calls:

33.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms
u2
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
cosTheta_i
Results
AccuracySegmentsBranch
87.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.9%1u1
91.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.3%2u2
91.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.9%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes13.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

3 calls:

4.0ms
u2
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
91.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.3%2u2
Compiler

Compiled 8 to 14 computations (-75% saved)

regimes34.0ms (0.3%)

Memory
-20.2MiB live, 26.4MiB allocated; 2ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

5 calls:

18.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
cosTheta_i
4.0ms
u2
4.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
87.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.9%1cosTheta_i
87.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.9%1u2
Compiler

Compiled 20 to 28 computations (-40% saved)

regimes27.0ms (0.2%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Outputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
u1
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
85.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
84.2%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
84.2%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
84.2%2u1
85.7%2u2
85.7%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
85.1%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.5%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes33.0ms (0.3%)

Memory
-27.7MiB live, 29.3MiB allocated; 6ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -1 binary32))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
Outputs
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

15.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
u2
Results
AccuracySegmentsBranch
79.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.5%1u1
83.2%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
83.6%2u2
83.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes23.0ms (0.2%)

Memory
-23.4MiB live, 23.1MiB allocated; 2ms collecting garbage
Accuracy

Total -24.1b remaining (-367.6%)

Threshold costs -24.1b (-367.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#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)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) #s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

14.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
u2
Results
AccuracySegmentsBranch
79.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.5%1u1
79.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
79.5%1u2
79.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 31 to 41 computations (-32.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0330469124019146
0.03333614021539688
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.037732332944869995
0.039988305419683456
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.037732332944869995
0.039988305419683456
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0880068838596344
0.09299995750188828
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0880068838596344
0.09299995750188828
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9853857159614563
0.987082302570343
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.025609198957681656
0.02724294923245907
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999793767929077
0.999979555606842
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999793767929077
0.999979555606842
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify58.0ms (0.5%)

Memory
0.1MiB live, 45.5MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119708
1143708
2178708
3236708
4436708
52473708
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 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 #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 8912057/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 10200547/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))))
(if (<=.f32 u2 #s(literal 10200547/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(if (<=.f32 u2 #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16542335/16777216 binary32)) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(if (<=.f32 u2 #s(literal 3489661/134217728 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 2097109/2097152 binary32)) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 2097109/2097152 binary32)) (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Outputs
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 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 #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 8912057/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 10200547/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))))
(if (<=.f32 u2 #s(literal 10200547/268435456 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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derivations1.2s (10.5%)

Memory
-13.6MiB live, 717.4MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04302489
114922270
266532249
081672069
041231
068229
1182226
01058226
01028
01628
14928
024228
055265
081240
1247240
01340237
03481605
111971422
258841407
082311322
03601810
112321639
254971624
086031502
0180760
1626670
22846655
08489617
037187
061168
1212168
01379168
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 716 to 123 computations (82.8% saved)

preprocess67.0ms (0.6%)

Memory
23.6MiB live, 165.4MiB allocated; 16ms collecting garbage
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 702 to 492 computations (71.1% saved)

end0.0ms (0%)

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

Profiling

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