Beckmann Sample, near normal, slope_x

Time bar (total: 11.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze357.0ms (3.2%)

Memory
-20.2MiB live, 616.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.0s (18.5%)

Memory
-54.4MiB live, 2 710.0MiB allocated
Samples
1.6s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 449.0ms (34.2% of total)
const: 263.0ms (20% of total)
ival-log: 137.0ms (10.4% of total)
ival-<=: 96.0ms (7.3% of total)
ival-cos: 92.0ms (7% of total)
ival-sub: 73.0ms (5.6% of total)
ival-sqrt: 69.0ms (5.2% of total)
ival-neg: 35.0ms (2.7% of total)
ival-and: 31.0ms (2.4% of total)
ival->: 31.0ms (2.4% of total)
ival-pi: 27.0ms (2.1% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain134.0ms (1.2%)

Memory
-10.9MiB live, 200.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2024(0.9999814629554749 0.008831631392240524 1.907170199544339e-9)6(0.9999549388885498 0.017489343881607056 0.002576049417257309)(log.f32 (-.f32 #s(literal 1 binary32) u1))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-u2
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1 binary32)
00-0-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-u1
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u1))sensitivity20013
Confusion
Predicted +Predicted -
+1920
-856
Precision
0.96
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19200
-81343
Precision?
0.9014084507042254
Recall?
1.0
Freqs
test
numberfreq
056
1200
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms512×0valid
Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 15.0ms (38.9% of total)
ival-log: 8.0ms (20.7% of total)
ival-cos: 6.0ms (15.6% of total)
ival-sqrt: 3.0ms (7.8% of total)
ival-pi: 2.0ms (5.2% of total)
ival-sub: 2.0ms (5.2% of total)
ival-neg: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess44.0ms (0.4%)

Memory
-10.6MiB live, 27.5MiB allocated
Algorithm
egg-herbie
Rules
340×associate-*r*
254×distribute-lft-in
228×associate-*l*
184×distribute-rgt-in
158×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042122
199120
2186120
3324120
4515120
5747120
6912120
71252120
81367120
91553120
101562120
111566120
121566120
01313
02213
13413
24613
35513
46313
57513
68913
79713
810013
010012
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify6.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Rules
40×lower-*.f64
34×lower-*.f32
32×lower-+.f64
32×lower-+.f32
24×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
02250
13450
24650
35550
46350
57550
68950
79750
810050
010046
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize36.0ms (0.3%)

Memory
-14.2MiB live, 61.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.15625
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy15.326045176000077
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
28.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 6.0ms (33.9% of total)
ival-mult: 4.0ms (22.6% of total)
ival-cos: 3.0ms (16.9% of total)
ival-pi: 1.0ms (5.6% of total)
ival-sub: 1.0ms (5.6% of total)
ival-sqrt: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory
-3.5MiB live, 74.5MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
Outputs
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1)) (taylor 0 u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ 1 u1)))) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1)) (taylor inf u1) (#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
31.0ms
u2
@inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
23.0ms
u2
@-inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms
u2
@0
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
3.0ms
u1
@inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))
2.0ms
u1
@-inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2))

simplify157.0ms (1.4%)

Memory
17.1MiB live, 164.4MiB allocated
Algorithm
egg-herbie
Rules
9 270×lower-fma.f64
9 270×lower-fma.f32
5 620×lower-*.f64
5 620×lower-*.f32
3 580×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891737
18581458
227291335
368801298
081351246
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (fma.f32 (*.f32 u1 u1) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) u1) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1)) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/6 binary32) #s(literal -1/4 binary32)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (fma.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 u1))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(neg.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (neg.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (*.f32 (neg.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1)))) u1) #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1))) #s(literal -1/4 binary32)) (log.f32 (neg.f32 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1))))))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1) #s(literal 1/2 binary32)) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1))) #s(literal -1/4 binary32)) (log.f32 (neg.f32 u1)))) u1) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (neg.f32 u1)))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) #s(literal -1/2 binary32))) u1) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal -1 binary32)) u1) (log.f32 (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 u2)) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/45 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 u2 u2)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))

rewrite131.0ms (1.2%)

Memory
-2.1MiB live, 154.2MiB allocated
Rules
3 444×lower-*.f64
3 438×lower-*.f32
2 098×lower-fma.f64
2 098×lower-fma.f32
2 048×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
02233
16533
232033
3235531
0864923
Stop Event
iter limit
node limit
iter limit
Counts
5 → 228
Calls
Call 1
Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Outputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1))))))
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(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
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eval28.0ms (0.3%)

Memory
32.6MiB live, 68.8MiB allocated
Compiler

Compiled 7 051 to 1 348 computations (80.9% saved)

prune89.0ms (0.8%)

Memory
-19.4MiB live, 150.4MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New27821299
Fresh000
Picked011
Done000
Total27822300
Accuracy
99.7%
Counts
300 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.4%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.3%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.4%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.6%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.5%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 028 to 718 computations (30.2% saved)

simplify197.0ms (1.8%)

Memory
1.8MiB live, 268.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (log1p.f32 u1))
cost-diff0
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff2912
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))
cost-diff6400
(exp.f32 (log.f32 (log1p.f32 u1)))
cost-diff0
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
cost-diff0
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
cost-diff0
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff320
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
22 220×lower-fma.f64
22 214×lower-fma.f32
3 334×lower-+.f64
3 332×lower-+.f32
2 880×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046481
087465
1144409
2285409
3679409
42243409
54787409
67496409
08150403
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))
(*.f32 u1 u1)
u1
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))
(exp.f32 (log.f32 (log1p.f32 u1)))
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))
(*.f32 u1 u1)
u1
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
(-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize197.0ms (1.8%)

Memory
-21.1MiB live, 367.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09227006294247907
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.11328125
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy1.7478567900271484
(exp.f32 (log.f32 (log1p.f32 u1)))
accuracy0.1796875
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.45541000976844204
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy23.800547421219225
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
accuracy0.15625
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.1640625
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy16.295080286391226
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.09227006294247907
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.15625
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy30.888927898492888
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy0.09227006294247907
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.10546875
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy0.15625
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Samples
99.0ms154×1valid
38.0ms102×0valid
Compiler

Compiled 554 to 49 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-log: 22.0ms (20.9% of total)
ival-mult: 21.0ms (19.9% of total)
adjust: 11.0ms (10.4% of total)
ival-sqrt: 11.0ms (10.4% of total)
ival-log1p: 11.0ms (10.4% of total)
ival-add: 6.0ms (5.7% of total)
ival-neg: 6.0ms (5.7% of total)
ival-div: 5.0ms (4.7% of total)
ival-exp: 4.0ms (3.8% of total)
ival-sub: 3.0ms (2.8% of total)
ival-cos: 3.0ms (2.8% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series219.0ms (2%)

Memory
1.3MiB live, 270.5MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (log1p.f32 (neg.f32 u1))) (patch (neg.f32 (log1p.f32 (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 (neg.f32 u1)) (patch (log1p.f32 (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (patch (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (patch (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (patch (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (exp.f32 (log.f32 (log1p.f32 u1))) (patch (exp.f32 (log.f32 (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (patch (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (log.f32 (log1p.f32 u1)) (patch (log.f32 (log1p.f32 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (patch (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (patch (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (patch (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (patch (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
96.0ms
u2
@inf
((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (exp (log (log (+ 1 u1)))) (pow (exp (log (log (+ 1 u1)))) 1/2) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (log (log (+ 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))
45.0ms
u1
@inf
((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (exp (log (log (+ 1 u1)))) (pow (exp (log (log (+ 1 u1)))) 1/2) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (log (log (+ 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))
45.0ms
u2
@-inf
((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (exp (log (log (+ 1 u1)))) (pow (exp (log (log (+ 1 u1)))) 1/2) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (log (log (+ 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))
8.0ms
u1
@-inf
((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (exp (log (log (+ 1 u1)))) (pow (exp (log (log (+ 1 u1)))) 1/2) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (log (log (+ 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))
5.0ms
u2
@0
((* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (exp (log (log (+ 1 u1)))) (pow (exp (log (log (+ 1 u1)))) 1/2) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (log (log (+ 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))

simplify238.0ms (2.1%)

Memory
35.6MiB live, 256.2MiB allocated
Algorithm
egg-herbie
Rules
12 110×lower-fma.f64
12 110×lower-fma.f32
8 152×lower-*.f64
8 152×lower-*.f32
5 028×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010339109
132137722
086907301
Stop Event
iter limit
node limit
Counts
360 → 356
Calls
Call 1
Inputs
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1
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(+ (log -1) (+ (* -1 (/ (- 3 (* 3/2 (/ 1 u1))) u1)) (* 3 (log (/ -1 u1)))))
(+ (log -1) (+ (* -1 (/ (+ 3 (* -1 (/ (+ 3/2 (* 3/4 (/ 1 (pow u1 2)))) u1))) u1)) (* 3 (log (/ -1 u1)))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(pow u1 4)
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(* (pow u1 4) (+ 1 (* -1 (/ (- (/ 1 (pow u1 2)) 2) u1))))
(* (pow u1 4) (+ 1 (* -1 (/ (- (/ 1 (pow u1 2)) 2) u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (log (/ 1 (- 1 u1))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))
(+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))
(* (sqrt -1) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* (sqrt -1) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))))
(+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))))))
(+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/4 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/4 binary32) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
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(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite241.0ms (2.2%)

Memory
5.0MiB live, 282.9MiB allocated
Rules
4 794×lower-fma.f64
4 788×lower-fma.f32
3 820×lower-*.f64
3 802×lower-*.f32
3 246×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046324
087266
1278263
21941252
09368237
Stop Event
iter limit
node limit
iter limit
Counts
25 → 554
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(log.f32 (log1p.f32 u1))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32)) (fma.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (-.f32 u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(neg.f32 (log.f32 (neg.f32 (-.f32 u1 #s(literal 1 binary32)))))
(neg.f32 (log1p.f32 u1))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (fma.f32 u1 u1 u1)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) u1))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(-.f32 (log.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(exp.f32 (log.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(log1p.f32 u1)
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (sqrt.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1))) (*.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) u1))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 u1) u1)) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))) (/.f32 u1 (+.f32 #s(literal 0 binary32) (sqrt.f32 u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) (/.f32 (*.f32 (sqrt.f32 u1) u1) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 u1) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(sqrt.f32 u1)
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32)) (fma.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))) (*.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (-.f32 u1 #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
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(/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))))
(/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))))
(/.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 u1 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (fma.f32 u1 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) u1) (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) u1) (/.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) u1) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) u1) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (*.f32 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1 (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1) (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))
(fma.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 u1 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (*.f32 u1 u1) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (*.f32 u1 u1) u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(+.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(+.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)) (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))
(+.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1) (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
(+.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(+.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))

eval161.0ms (1.5%)

Memory
-1.2MiB live, 310.6MiB allocated
Compiler

Compiled 45 103 to 4 197 computations (90.7% saved)

prune515.0ms (4.7%)

Memory
-5.6MiB live, 322.7MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 015271 042
Fresh10616
Picked325
Done011
Total1 028361 064
Accuracy
99.8%
Counts
1 064 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.8%
(*.f32 (pow.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.0%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) (-.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 (/.f32 (fma.f32 u1 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
71.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.8%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
88.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
53.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
52.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
85.3%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.6%
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.0%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.1%
(*.f32 #s(approx (sqrt (log (/ 1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1))) u1 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 #s(approx (sqrt (log (/ 1 (- 1 u1)))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 #s(approx (sqrt (log (/ 1 (- 1 u1)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
70.7%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
68.9%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))))
65.3%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
93.9%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
91.9%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
81.5%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Compiler

Compiled 1 882 to 1 151 computations (38.8% saved)

simplify219.0ms (2%)

Memory
11.8MiB live, 203.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
cost-diff0
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
cost-diff0
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
cost-diff0
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
cost-diff0
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(log1p.f32 (neg.f32 u1))
cost-diff0
(neg.f32 (log1p.f32 (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(log1p.f32 u1)
cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
20 702×lower-fma.f64
20 694×lower-fma.f32
3 782×lower-*.f64
3 750×lower-*.f32
2 864×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060770
0113768
1191656
2406656
31077656
43373650
55530650
67740650
08092644
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 u2 u2))
#s(literal -2 binary32)
(*.f32 u2 u2)
u2
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))
(*.f32 u1 u1)
u1
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))
(*.f32 u1 u1)
u1
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 u2 u2)
u2
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))
(*.f32 u1 u1)
u1
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
(-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(-.f32 (neg.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(+.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32))
(*.f32 u1 u1)
u1
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)
(-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize342.0ms (3.1%)

Memory
-11.3MiB live, 244.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2265625
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.45541000976844204
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy23.800547421219225
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
accuracy0.1796875
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
accuracy0.45541000976844204
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy6.038741262645135
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy23.800547421219225
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
accuracy0.10546875
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy0.15625
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy3.6189537597344343
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy0
(neg.f32 (sqrt.f32 u1))
accuracy0.15625
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy6.038741262645135
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy30.888927898492888
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
accuracy0.11556625976844202
(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy0.15625
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.26171875
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Samples
182.0ms154×1valid
37.0ms102×0valid
Compiler

Compiled 876 to 58 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-log1p: 57.0ms (32.9% of total)
ival-mult: 53.0ms (30.6% of total)
adjust: 13.0ms (7.5% of total)
ival-sqrt: 11.0ms (6.3% of total)
ival-log: 11.0ms (6.3% of total)
ival-add: 9.0ms (5.2% of total)
ival-neg: 6.0ms (3.5% of total)
ival-sub: 4.0ms (2.3% of total)
ival-div: 3.0ms (1.7% of total)
ival-cos: 3.0ms (1.7% of total)
ival-pi: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series297.0ms (2.7%)

Memory
-11.4MiB live, 303.8MiB allocated
Counts
29 → 396
Calls
Call 1
Inputs
#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (neg.f32 (sqrt.f32 u1)) (patch (neg.f32 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (log1p.f32 (neg.f32 u1))) (patch (neg.f32 (log1p.f32 (neg.f32 u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 (neg.f32 u1)) (patch (log1p.f32 (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (patch (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (patch (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) (patch (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (patch (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (patch (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (patch (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (log1p.f32 (*.f32 (neg.f32 u1) u1)) (patch (log1p.f32 (*.f32 (neg.f32 u1) u1)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (PI.f32)) (patch (*.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (patch (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (patch (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (patch (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) #<representation binary32>) () ())
Outputs
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1)))))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1))))) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (taylor 0 u1) (#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* -1/2 u1))) (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2)))) (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2)))) (taylor 0 u1) (#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (patch #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
129.0ms
u2
@inf
((* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)) (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))
76.0ms
u2
@-inf
((* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)) (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))
19.0ms
u1
@inf
((* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)) (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))
7.0ms
u1
@-inf
((* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)) (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))
6.0ms
u1
@0
((* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (log (+ 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (sqrt u1)) (sqrt u1) (* (sqrt (neg (log (+ 1 (neg u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (+ 1 (neg u1))))) (neg (log (+ 1 (neg u1)))) (log (+ 1 (neg u1))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1)))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)) (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))

simplify219.0ms (2%)

Memory
38.0MiB live, 262.4MiB allocated
Algorithm
egg-herbie
Rules
10 162×lower-fma.f64
10 162×lower-fma.f32
6 684×lower-*.f64
6 684×lower-*.f32
5 824×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109311006
134278953
084428427
Stop Event
iter limit
node limit
Counts
396 → 391
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 5/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* 5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 5/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* 3/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 17/4 (* 9/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* 5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
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u1
(* u1 (+ 1 (* -3/2 u1)))
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(+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))))))))
(* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))))
(+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))))))
(+ (* (sqrt -1) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3))))))) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) (sqrt.f32 u1) (*.f32 (*.f32 #s(literal 1/6 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(sqrt u1)
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(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
u1
(* u1 (+ 1 (* -1/2 u1)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(* -1 (sqrt u1))
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(* -1 (sqrt u1))
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(* -1 (sqrt u1))
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(sqrt u1)
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(sqrt u1)
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(sqrt u1)
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(sqrt u1)
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(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
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(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
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(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* u1 (* (- 1 u1) (- (+ u1 (pow u1 2)) 1))))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite215.0ms (1.9%)

Memory
-42.5MiB live, 302.6MiB allocated
Rules
3 486×lower-*.f64
3 454×lower-*.f32
2 996×lower-fma.f64
2 988×lower-fma.f32
2 290×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060515
0113441
1372413
22833404
09191374
Stop Event
iter limit
node limit
iter limit
Counts
29 → 801
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))
(+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(log1p.f32 (*.f32 (neg.f32 u1) u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)))
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(/.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal -1 binary32))) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) u1 (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1 (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 u1) (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (neg.f32 u1)))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (neg.f32 u1) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (*.f32 u1 u1) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (*.f32 u1 u1) u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)))
(fma.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1 (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(fma.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 u1 u1) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 u1 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)))
(fma.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (*.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 (neg.f32 u1) u1) (-.f32 (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (*.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1))))
(fma.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(fma.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
(+.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1))) (*.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1))))
(+.f32 (*.f32 (neg.f32 u1) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1))) (*.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1))))
(+.f32 (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)))
(+.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (neg.f32 u1)))
(+.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (neg.f32 u1)) (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) #s(literal 1 binary32)))
(+.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)))
(+.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(+.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1) (*.f32 (fma.f32 u1 u1 u1) (-.f32 u1 #s(literal 1 binary32))))
(+.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (*.f32 (*.f32 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(+.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 #s(literal -1 binary32) (fma.f32 u1 u1 u1)))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))

eval220.0ms (2%)

Memory
20.9MiB live, 485.8MiB allocated
Compiler

Compiled 67 473 to 5 058 computations (92.5% saved)

prune277.0ms (2.5%)

Memory
-2.3MiB live, 638.5MiB allocated
Pruning

50 alts after pruning (44 fresh and 6 done)

PrunedKeptTotal
New1 345251 370
Fresh91928
Picked235
Done033
Total1 356501 406
Accuracy
99.8%
Counts
1 406 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.8%
(*.f32 (pow.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.0%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.9%
(*.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.0%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.3%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 (/.f32 (fma.f32 u1 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.5%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (/.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
73.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal -3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))))
88.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
53.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
66.7%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
70.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
52.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.4%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.9%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
85.3%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.8%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.9%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
84.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
82.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
79.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
77.6%
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.1%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
4.0%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
70.7%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
65.3%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
88.4%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
81.4%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
93.9%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
91.9%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
81.5%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Compiler

Compiled 2 409 to 1 520 computations (36.9% saved)

simplify198.0ms (1.8%)

Memory
10.4MiB live, 318.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))
cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
cost-diff0
(sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(sqrt.f32 (*.f32 (*.f32 u1 u1) u1))
cost-diff0
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(log1p.f32 u1)
cost-diff0
(sqrt.f32 (log1p.f32 u1))
cost-diff0
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
cost-diff0
#s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))
cost-diff0
(neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
cost-diff64
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
cost-diff64
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
cost-diff4000
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
Rules
24 078×lower-fma.f64
24 072×lower-fma.f32
4 500×lower-*.f64
4 478×lower-*.f32
3 406×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076534
0117576
1198508
2386498
3919453
42781443
54926443
67230443
08141427
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
u2
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))
(neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))
#s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 u1 u1)
u1
#s(literal 1/4 binary32)
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))
#s(literal -1 binary32)
(fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))
(*.f32 u1 u1)
u1
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
u2
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))))
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))
(neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))
#s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 u1 u1)
u1
#s(literal 1/4 binary32)
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))))
(log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))
#s(literal -1 binary32)
(fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))
(*.f32 u1 u1)
u1
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize288.0ms (2.6%)

Memory
16.7MiB live, 603.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.27734375
(log1p.f32 (fma.f32 u1 u1 u1))
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy23.949295082860633
(log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))
accuracy0.1640625
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))
accuracy0.25390625
(*.f32 (*.f32 u1 u1) u1)
accuracy0.35546875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy3.6026544390658435
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
accuracy0.015625
(log1p.f32 u1)
accuracy0.06640625
(sqrt.f32 (log1p.f32 u1))
accuracy5.884229254288071
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
accuracy0.1015625
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))
accuracy0.15625
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy6.038741262645135
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy7.453759744477231
#s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))
accuracy0.1750560337262779
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
accuracy0.2629762816206538
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
accuracy0.35546875
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
accuracy20.404556734498218
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
Samples
188.0ms176×1valid
51.0ms80×0valid
Compiler

Compiled 552 to 64 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 37.0ms (17.8% of total)
ival-sub: 35.0ms (16.9% of total)
ival-add: 24.0ms (11.6% of total)
adjust: 21.0ms (10.1% of total)
ival-log1p: 20.0ms (9.6% of total)
ival-log: 19.0ms (9.2% of total)
ival-sqrt: 17.0ms (8.2% of total)
ival-exp: 13.0ms (6.3% of total)
ival-cos: 9.0ms (4.3% of total)
ival-div: 6.0ms (2.9% of total)
ival-neg: 4.0ms (1.9% of total)
ival-pi: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series244.0ms (2.2%)

Memory
-24.9MiB live, 393.3MiB allocated
Counts
24 → 348
Calls
Call 1
Inputs
#s(alt (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) (patch (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (patch (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (patch (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) (patch (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (patch #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) (patch #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (log1p.f32 u1)) (patch (sqrt.f32 (log1p.f32 u1)) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (patch #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)) (patch (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (patch (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (patch (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))) (patch (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (patch (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (patch (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 5/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* 5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 5/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 5/6 (sqrt (/ 1 u1)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) (patch (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* 1/2 u1))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) (patch (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) (patch (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3)))))) (taylor 0 u1) (#s(alt (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) (patch (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor 0 u1) (#s(alt #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (patch #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* -1/2 u1) 1)) (taylor 0 u1) (#s(alt #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (patch #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (patch #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1)) (taylor 0 u1) (#s(alt #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (patch #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) (patch #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (taylor 0 u1) (#s(alt #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) (patch #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) (patch #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))))) (taylor 0 u1) (#s(alt #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) (patch #s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (log1p.f32 u1)) (patch (sqrt.f32 (log1p.f32 u1)) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) (patch (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
142.0ms
u2
@inf
((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (+ (* (sqrt (* (* u1 u1) u1)) 1/4) (sqrt u1)) (sqrt (* (* u1 u1) u1)) (* (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1)))) (log (/ -1 (+ (* (* u1 u1) u1) -1))) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (* (* u1 u1) u1) (log (+ 1 (+ (* u1 u1) u1))))
57.0ms
u2
@-inf
((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (+ (* (sqrt (* (* u1 u1) u1)) 1/4) (sqrt u1)) (sqrt (* (* u1 u1) u1)) (* (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1)))) (log (/ -1 (+ (* (* u1 u1) u1) -1))) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (* (* u1 u1) u1) (log (+ 1 (+ (* u1 u1) u1))))
9.0ms
u1
@inf
((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (+ (* (sqrt (* (* u1 u1) u1)) 1/4) (sqrt u1)) (sqrt (* (* u1 u1) u1)) (* (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1)))) (log (/ -1 (+ (* (* u1 u1) u1) -1))) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (* (* u1 u1) u1) (log (+ 1 (+ (* u1 u1) u1))))
5.0ms
u1
@-inf
((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (+ (* (sqrt (* (* u1 u1) u1)) 1/4) (sqrt u1)) (sqrt (* (* u1 u1) u1)) (* (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1)))) (log (/ -1 (+ (* (* u1 u1) u1) -1))) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (* (* u1 u1) u1) (log (+ 1 (+ (* u1 u1) u1))))
4.0ms
u1
@0
((- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (* (sqrt (neg (log (+ 1 (neg u1))))) (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))))) (* (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))))) (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt (log (+ 1 u1))) (log (+ 1 u1)) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (+ (* (sqrt (* (* u1 u1) u1)) 1/4) (sqrt u1)) (sqrt (* (* u1 u1) u1)) (* (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1)))) (log (/ -1 (+ (* (* u1 u1) u1) -1))) (* u2 (* (PI) 2)) (cos (* (* 2 (PI)) u2)) (* (* 2 (PI)) u2) (* (* u1 u1) u1) (log (+ 1 (+ (* u1 u1) u1))))

simplify222.0ms (2%)

Memory
-0.1MiB live, 271.7MiB allocated
Algorithm
egg-herbie
Rules
9 424×lower-fma.f64
9 424×lower-fma.f32
7 024×lower-*.f64
7 024×lower-*.f32
4 962×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010488977
133297586
084027122
Stop Event
iter limit
node limit
Counts
348 → 344
Calls
Call 1
Inputs
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(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1)))))
(+ (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))))
(+ (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))))))
(+ (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/4 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) #s(literal -1/4 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 5/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 5/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* 5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal 5/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 5/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 5/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 5/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal 5/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 5/3))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* 5/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal 5/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (+ 5/3 (* -1/4 u1))) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 5/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) u1) #s(literal 1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 (* -1/2 u1)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log (+ 1 (* (+ u1 (pow u1 2)) (- (+ u1 (pow u1 2)) 1)))) (log (/ (+ 1 (pow u1 3)) (+ 1 (pow (+ u1 (pow u1 2)) 3)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log (+ 1 (+ u1 (pow u1 2)))) (log (/ -1 (- (pow u1 3) 1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))

rewrite406.0ms (3.7%)

Memory
9.4MiB live, 292.7MiB allocated
Rules
6 320×lower-*.f64
6 300×lower-*.f32
5 212×lower-fma.f64
5 206×lower-fma.f32
3 352×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076434
0117378
1431267
23308174
011591172
Stop Event
iter limit
node limit
iter limit
Counts
24 → 513
Calls
Call 1
Inputs
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))
(neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))
#s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (*.f32 u1 u1) u1))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u1 u1) u1)
(log1p.f32 (fma.f32 u1 u1 u1))
Outputs
(*.f32 (*.f32 (fma.f32 (+.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
(*.f32 (-.f32 (pow.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (+.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) (pow.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32)) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32)))))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (neg.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32))))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (neg.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32)))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)))))
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(log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))) #s(literal 2 binary32))) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
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(-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
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(fma.f32 #s(literal -1 binary32) (log.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
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(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1)) (*.f32 (*.f32 u1 u1) u1) #s(literal -1 binary32)))) (log.f32 (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))))
(+.f32 (neg.f32 (log.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log.f32 #s(literal -1 binary32)))
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(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
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(*.f32 (pow.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 u1) u1))
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(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 (sqrt.f32 u1) u1) (*.f32 (sqrt.f32 u1) u1))
(*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) u1))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(*.f32 u1 (*.f32 (*.f32 u1 u1) #s(literal -1 binary32)))
(*.f32 u1 (*.f32 u1 u1))
(sqrt.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1)))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 0 binary32) u1))) #s(literal 3 binary32)))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) u1) (*.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 0 binary32) u1) #s(literal 3 binary32)))
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(pow.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(pow.f32 u1 #s(literal 3 binary32))
(exp.f32 (fma.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32) (*.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32) (*.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 3 binary32)))
(neg.f32 (*.f32 (*.f32 u1 u1) u1))
(log.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (-.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) u1))) (log.f32 (fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (*.f32 u1 u1) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (log.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)))) (log1p.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) #s(literal -1 binary32))) (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)))) (log.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)))))))
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(-.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))) (log.f32 (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))) (neg.f32 (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 0 binary32))
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(neg.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log1p.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(log1p.f32 (fma.f32 u1 u1 u1))

eval113.0ms (1%)

Memory
25.3MiB live, 141.7MiB allocated
Compiler

Compiled 32 920 to 2 871 computations (91.3% saved)

prune426.0ms (3.8%)

Memory
-24.7MiB live, 256.5MiB allocated
Pruning

54 alts after pruning (47 fresh and 7 done)

PrunedKeptTotal
New86825893
Fresh172239
Picked415
Done066
Total88954943
Accuracy
99.9%
Counts
943 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
55.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.4%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.8%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.0%
(*.f32 (sqrt.f32 (+.f32 #s(approx (log (/ -1 (+ (* (* u1 u1) u1) -1))) (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u1) (*.f32 u1 u1) #s(literal 1/2 binary32)) u1) (*.f32 u1 u1) #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) u1))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.1%
(*.f32 (sqrt.f32 (+.f32 #s(approx (log (/ -1 (+ (* (* u1 u1) u1) -1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (*.f32 u1 u1) #s(literal 1 binary32)) u1) (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.0%
(*.f32 (sqrt.f32 (+.f32 #s(approx (log (/ -1 (+ (* (* u1 u1) u1) -1))) (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
85.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
34.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (- (+ 1/2 (* 1/2 (cos (* u2 (* (PI) 2))))) (- 1/2 (* 1/2 (cos (* u2 (* (PI) 2)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2)) (*.f32 u2 u2) #s(literal 1 binary32))))
88.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
53.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
70.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
52.0%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
45.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
93.4%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.9%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.0%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
85.3%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.8%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.9%
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
84.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
82.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
79.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
88.1%
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1) (sqrt.f32 u1))))
77.6%
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.4%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.0%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (/.f32 (fma.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (sqrt.f32 u1) u1)) (fma.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 u1 u1) u1) (-.f32 u1 (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 u1 u1) u1)) u1) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (*.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 u1 u1) u1)) u1) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
4.0%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
70.7%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
65.3%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
65.2%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
65.3%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
66.7%
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
81.4%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
79.9%
#s(approx (* (sqrt (+ (log (/ -1 (+ (* (* u1 u1) u1) -1))) (log (+ 1 (+ (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
81.5%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Compiler

Compiled 3 842 to 1 329 computations (65.4% saved)

regimes443.0ms (4%)

Memory
6.2MiB live, 360.3MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 #s(approx (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (*.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal -3 binary32))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (exp.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (/.f32 (*.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 (/.f32 (fma.f32 u1 u1 u1) u1) (/.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (-.f32 u1 #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) (-.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (/.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 u1)) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))) #s(literal 1/4 binary32))))) (*.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

80.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
76.0ms
u1
55.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
48.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
46.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
99.2%1cosTheta_i
99.2%1u1
99.2%1u2
99.2%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.2%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.2%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.2%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.2%1(-.f32 #s(literal 1 binary32) u1)
99.2%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes161.0ms (1.5%)

Memory
18.6MiB live, 252.8MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (log (/ 1 (- 1 u1)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 u1 u1) u1)) u1) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (log (/ 1 (- 1 u1)))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (*.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 u1 u1) u1)) u1) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1)) (sqrt.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (/.f32 (fma.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (sqrt.f32 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (sqrt.f32 u1) u1)) (fma.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 u1 u1) u1) (-.f32 u1 (*.f32 #s(literal 1/4 binary32) (*.f32 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (log (/ 1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1))) (sqrt.f32 u1))) u1 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

42.0ms
u1
15.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
13.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.4%1cosTheta_i
97.3%2u1
97.6%2u2
97.6%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.3%2(-.f32 #s(literal 1 binary32) u1)
97.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes104.0ms (0.9%)

Memory
-21.8MiB live, 183.5MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (*.f32 #s(literal 1/4 binary32) u1) (sqrt.f32 u1) (sqrt.f32 u1))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

18.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
15.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
11.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
96.9%2u1
96.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.9%2(-.f32 #s(literal 1 binary32) u1)
97.1%2u2
97.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
97.0%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes90.0ms (0.8%)

Memory
3.9MiB live, 238.3MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

10.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
cosTheta_i
9.0ms
u1
9.0ms
(-.f32 #s(literal 1 binary32) u1)
9.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
88.5%1cosTheta_i
96.0%2u1
96.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
96.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
96.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
96.0%2(-.f32 #s(literal 1 binary32) u1)
96.4%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
96.4%2u2
96.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes79.0ms (0.7%)

Memory
22.5MiB live, 214.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (- 1 u1) (* u1 (- (+ (* u1 u1) u1) 1))))))) (*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Calls

9 calls:

12.0ms
u2
11.0ms
(-.f32 #s(literal 1 binary32) u1)
8.0ms
u1
8.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
94.0%2u1
94.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.0%2(-.f32 #s(literal 1 binary32) u1)
94.4%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
95.3%2u2
95.3%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes77.0ms (0.7%)

Memory
-38.7MiB live, 181.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Calls

9 calls:

18.0ms
u1
10.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
8.0ms
u2
8.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
90.1%2u1
90.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
90.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
90.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
90.1%2(-.f32 #s(literal 1 binary32) u1)
91.1%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.0%2u2
92.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
92.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes60.0ms (0.5%)

Memory
14.0MiB live, 174.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Calls

10 calls:

7.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
6.0ms
u2
Results
AccuracySegmentsBranch
87.6%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.6%2(-.f32 #s(literal 1 binary32) u1)
87.6%2u1
87.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.6%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.5%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.1%1cosTheta_i
87.6%2u2
87.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
87.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes51.0ms (0.5%)

Memory
15.6MiB live, 175.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

9 calls:

6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
u2
5.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
84.1%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
84.1%1u2
84.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
84.1%1u1
84.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
84.1%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
84.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
84.1%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes74.0ms (0.7%)

Memory
-1.5MiB live, 117.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

31.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms
cosTheta_i
5.0ms
u2
Results
AccuracySegmentsBranch
82.5%1cosTheta_i
82.5%1u1
82.5%1u2
82.5%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
82.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
82.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
82.5%1(-.f32 #s(literal 1 binary32) u1)
82.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
82.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes61.0ms (0.6%)

Memory
-24.6MiB live, 90.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

17.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
7.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u2
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
79.5%1u1
79.5%1u2
79.5%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
79.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
79.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
79.5%1(-.f32 #s(literal 1 binary32) u1)
79.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
79.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
79.5%1cosTheta_i
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes44.0ms (0.4%)

Memory
0.8MiB live, 86.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

5.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u2
4.0ms
cosTheta_i
4.0ms
u1
Results
AccuracySegmentsBranch
77.3%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.9%1u1
73.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
73.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
73.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
73.9%1(-.f32 #s(literal 1 binary32) u1)
77.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
73.9%1cosTheta_i
77.4%2u2
77.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes20.0ms (0.2%)

Memory
-3.0MiB live, 36.5MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 #s(literal -5/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -5/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

5 calls:

4.0ms
cosTheta_i
4.0ms
u2
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
73.9%1cosTheta_i
73.9%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
73.9%1u2
73.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes22.0ms (0.2%)

Memory
0.0MiB live, 38.7MiB allocated
Accuracy

Total -20.2b remaining (-189.4%)

Threshold costs -20.2b (-189.4%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1))))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1))))
Outputs
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
Calls

10 calls:

4.0ms
u2
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
u1
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
66.7%1u2
66.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
66.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
66.7%1u1
66.7%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
66.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
66.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
66.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
66.7%1(-.f32 #s(literal 1 binary32) u1)
66.7%1cosTheta_i
Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23557321727275848
0.24312683939933777
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.023709841072559357
0.03361966088414192
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.14239755272865295
0.14487586915493011
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999982714653015
0.9999984502792358
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999982714653015
0.9999984502792358
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.05000755190849304
0.050086069852113724
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0015294022159650922
0.0015373113565146923
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify10.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
egg-herbie
Rules
44×*-commutative_binary32
10×sub-neg_binary32
10×+-commutative_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125635
1156635
2165635
3169635
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16106127/536870912 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2415919/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777189/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777189/16777216 binary32)) (*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13435195/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1642825/1073741824 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 16106127/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 16106127/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 16106127/536870912 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 16106127/536870912 binary32)) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 2415919/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2415919/16777216 binary32)) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777189/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 16777189/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777189/16777216 binary32)) (*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 16777189/16777216 binary32)) (*.f32 #s(approx (pow (exp (log (log (+ 1 u1)))) 1/2) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13435195/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 13435195/268435456 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (+ 1 (neg u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1642825/1073741824 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1642825/1073741824 binary32)) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)))) (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (+ 1 (neg u1))) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (+ (log (/ (+ (* (* u1 u1) u1) 1) (+ (* (* (+ (* u1 u1) u1) (+ (* u1 u1) u1)) (+ (* u1 u1) u1)) 1))) (log (+ 1 (* (+ (* u1 u1) u1) (- (+ (* u1 u1) u1) 1)))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (pow (exp (log (log (+ 1 u1)))) 1/2) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (log (+ 1 u1))) (sqrt.f32 u1)))

soundness1.1s (10%)

Memory
25.5MiB live, 1 048.6MiB allocated
Rules
12 110×lower-fma.f64
12 110×lower-fma.f32
10 162×lower-fma.f64
10 162×lower-fma.f32
9 424×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891737
18581458
227291335
368801298
081351246
01333
02233
16533
232033
3235531
0864923
0109311006
134278953
084428427
010339109
132137722
086907301
010488977
133297586
084027122
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 127 to 601 computations (46.7% saved)

preprocess103.0ms (0.9%)

Memory
8.4MiB live, 208.3MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 126 to 482 computations (57.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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