Beckmann Sample, near normal, slope_x

Time bar (total: 14.7s)

analyze281.0ms (1.9%)

Memory
44.9MiB live, 597.4MiB 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)

sample2.4s (16.6%)

Memory
-80.2MiB live, 2 487.5MiB allocated
Samples
1.7s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 274.0ms (21.6% of total)
ival-mult: 213.0ms (16.8% of total)
ival-cos: 161.0ms (12.7% of total)
ival-log: 147.0ms (11.6% of total)
ival-<=: 123.0ms (9.7% of total)
ival-sub: 106.0ms (8.4% of total)
ival-sqrt: 73.0ms (5.8% of total)
ival-and: 58.0ms (4.6% of total)
ival-pi: 44.0ms (3.5% of total)
ival-neg: 33.0ms (2.6% of total)
ival->: 23.0ms (1.8% of total)
exact: 8.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess53.0ms (0.4%)

Memory
-11.3MiB live, 68.7MiB 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
Symmetry

(abs u2)

(abs cosTheta_i)

explain164.0ms (1.1%)

Memory
-39.8MiB live, 340.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1939(0.9999521374702454 0.003543674713000655 2.148589750561314e-9)3(0.9999805688858032 0.0122309485450387 4.4921205699210986e-5)(log.f32 (-.f32 #s(literal 1 binary32) u1))
10-0-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
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-(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))sensitivity19916
cos.f32(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))sensitivity12
Confusion
Predicted +Predicted -
+1871
-1256
Precision
0.9396984924623115
Recall
0.9946808510638298
Confusion?
Predicted +Predicted MaybePredicted -
+18710
-121541
Precision?
0.8744186046511628
Recall?
1.0
Freqs
test
numberfreq
057
1198
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms512×0valid
Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-sub: 11.0ms (21.3% of total)
ival-mult: 9.0ms (17.4% of total)
ival-pi: 8.0ms (15.5% of total)
ival-log: 8.0ms (15.5% of total)
ival-sqrt: 7.0ms (13.6% of total)
ival-cos: 6.0ms (11.6% of total)
ival-neg: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify7.0ms (0%)

Memory
13.2MiB live, 13.2MiB 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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(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 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize45.0ms (0.3%)

Memory
-0.8MiB live, 75.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy60.0%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
27.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.7% of total)
ival-log: 4.0ms (21.5% of total)
ival-cos: 3.0ms (16.1% of total)
ival-sqrt: 2.0ms (10.8% of total)
ival-pi: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
2.4MiB live, 81.1MiB allocated
Counts
6 → 84
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>) () ())
#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>) () ())
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 (+ (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 (* -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 (- (* -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 (+ (* -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 (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 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 (* (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 (* (* (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 (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (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)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (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>) () ())) ())
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#s(alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (taylor 0 u2) (#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 (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (taylor 0 u2) (#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 (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) (taylor 0 u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#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 (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#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>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
33.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@-inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@0
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite257.0ms (1.7%)

Memory
-1.6MiB live, 387.5MiB allocated
Algorithm
batch-egg-rewrite
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
01339
02239
16539
232039
3235537
0864929
Stop Event
iter limit
node limit
iter limit
Counts
6 → 242
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)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Outputs
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 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)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (*.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
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(-.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
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(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log1p.f32 u1))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 u1)))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))))) (exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1)))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
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(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
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(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2)))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
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(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #s(literal 2 binary32))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)))) #s(literal -1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))

simplify343.0ms (2.3%)

Memory
33.7MiB live, 552.2MiB allocated
Algorithm
egg-herbie
Rules
9 722×lower-fma.f64
9 722×lower-fma.f32
5 844×lower-*.f64
5 844×lower-*.f32
3 726×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061849
19111570
229181447
371351410
083881352
Stop Event
iter limit
node limit
Counts
84 → 83
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))
(+ (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))
(* -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)))
(* (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)))))))))))
(* (* (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)))))))))
(* (* (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))) (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))))))))))
(* (* (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))))
(* (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))))))))
(* (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)))))))))
(* (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)))
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)))))))
(* -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)))))
(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))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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))))
(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
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1)))
(* -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 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (neg.f32 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 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)))) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (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 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (*.f32 u1 u1) #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 u1 u1) (*.f32 u1 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(+ (* -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 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -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 #s(literal -1/2 binary32) u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1)))) u1)))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))
(+ (* -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)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) u1)))) (/.f32 #s(literal -1/2 binary32) u1) (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))))) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -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 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (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 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 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))))))))))
(fma.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.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 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 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 #s(literal -1/4 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (*.f32 u1 u1) #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 (*.f32 u1 u1) (fma.f32 u1 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1/6 binary32) u1 #s(literal -1/4 binary32)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.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 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) 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 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1)) (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 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (-.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))))) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))))) u1) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.f32 (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.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 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (neg.f32 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1) (log.f32 (neg.f32 u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))

eval33.0ms (0.2%)

Memory
-2.9MiB live, 72.9MiB allocated
Compiler

Compiled 7 576 to 1 418 computations (81.3% saved)

prune105.0ms (0.7%)

Memory
-31.1MiB live, 178.3MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New29332325
Fresh000
Picked101
Done000
Total29432326
Accuracy
99.6%
Counts
326 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(*.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)))
71.7%
(*.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)))
71.8%
(*.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)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.4%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.7%
(*.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 u1 (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.3%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (*.f32 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 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
59.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
61.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.4%
(*.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)))
61.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.5%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.2%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
62.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
55.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
62.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
3.4%
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 900 to 1 160 computations (38.9% saved)

simplify269.0ms (1.8%)

Memory
21.8MiB live, 415.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff64
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
cost-diff64
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
cost-diff0
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
cost-diff0
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
cost-diff0
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 u1 u1)
cost-diff0
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
cost-diff0
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff160
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
11 472×lower-fma.f64
11 460×lower-fma.f32
3 020×lower-*.f64
2 996×lower-*.f32
2 052×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048486
096469
1188466
2430466
31013466
42174466
54157466
65440466
77298466
08019462
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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(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
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#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
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(neg.f32 (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
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(cos.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)
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 #s(literal 2 binary32) (*.f32 (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
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 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
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (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 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
(sqrt.f32 (-.f32 (neg.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (neg.f32 (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal -1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))
u1
(*.f32 u1 u1)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (-.f32 #s(literal -2 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))
(neg.f32 (fma.f32 u1 u1 u1))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -1/2 binary32))))
(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
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) #s(literal -1/2 binary32)))
(cos.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (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 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
#s(literal 2 binary32)

localize242.0ms (1.6%)

Memory
-11.2MiB live, 338.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(*.f32 (PI.f32) u2)
accuracy97.8%
(PI.f32)
accuracy60.0%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy39.5%
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
accuracy99.1%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy98.4%
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
accuracy97.8%
(PI.f32)
accuracy32.9%
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
accuracy99.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.1%
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
accuracy99.1%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy97.8%
(PI.f32)
accuracy100.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
accuracy100.0%
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.6%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy60.0%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy99.5%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.1%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy97.8%
(PI.f32)
Samples
88.0ms83×1valid
63.0ms167×0valid
2.0ms0invalid
Compiler

Compiled 550 to 56 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 32.0ms (26.5% of total)
adjust: 24.0ms (19.9% of total)
ival-log: 13.0ms (10.8% of total)
ival-cos: 10.0ms (8.3% of total)
ival-add: 9.0ms (7.5% of total)
ival-sqrt: 7.0ms (5.8% of total)
ival-neg: 7.0ms (5.8% of total)
const: 5.0ms (4.1% of total)
ival-log1p: 5.0ms (4.1% of total)
ival-sub: 4.0ms (3.3% of total)
ival-div: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series88.0ms (0.6%)

Memory
34.0MiB live, 150.8MiB allocated
Counts
26 → 348
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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (-.f32 #s(literal 1 binary32) u1)) (patch (log.f32 (-.f32 #s(literal 1 binary32) u1)) #<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 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (patch (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (patch (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) #<representation binary32>) () ())
#s(alt (*.f32 u1 u1) (patch (*.f32 u1 u1) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (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 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (patch (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))) (patch (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())
#s(alt (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) (patch (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (patch (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))))) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<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 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<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 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<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 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))) (taylor inf 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 (+ (* -1/2 (* (/ (* (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 (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 (+ (* -1/2 (* (/ (* (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 (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 (+ (* -1/2 (* (/ (* (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 (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 (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) (taylor -inf 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 (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))) (taylor -inf 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 (/ (+ (* 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))))) (taylor -inf 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>) () ())) ())
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#s(alt (- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1))) (taylor inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1))) (taylor inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())) ())
#s(alt (log (/ -1 u1)) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())) ())
#s(alt (- (log (/ -1 u1)) (* 2 (/ 1 u1))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1))) (taylor -inf u1) (#s(alt (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (patch (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) #<representation binary32>) () ())) ())
#s(alt (pow u1 2) (taylor 0 u1) (#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 (* (pow u1 2) (+ 1 (* 2 u1))) (taylor 0 u1) (#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 (* (pow u1 2) (+ 1 (* u1 (+ 2 u1)))) (taylor 0 u1) (#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 (* (pow u1 2) (+ 1 (* u1 (+ 2 u1)))) (taylor 0 u1) (#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 (pow u1 4) (taylor inf u1) (#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 (* (pow u1 4) (+ 1 (* 2 (/ 1 u1)))) (taylor inf u1) (#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 (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2))))) (taylor inf u1) (#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 (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2))))) (taylor inf u1) (#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 (pow u1 4) (taylor -inf u1) (#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 (* (pow u1 4) (+ 1 (* 2 (/ 1 u1)))) (taylor -inf u1) (#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 (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2))))) (taylor -inf u1) (#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 (* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2))))) (taylor -inf u1) (#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 (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
36.0ms
u2
@inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
8.0ms
u1
@inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
4.0ms
u2
@0
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (neg (- 1/2 (* 1/2 (cos (* 2 (* (PI) u2))))))))
2.0ms
u1
@-inf
(* (sqrt (neg (+ (log (/ (+ (* u1 (* u1 u1)) 1) (- 1 (* (+ (* u1 u1) u1) (+ (* u1 u1) u1))))) (log (+ 1 (neg (+ (* u1 u1) u1))))))) (cos (* (* 2 (PI)) u2)))

rewrite357.0ms (2.4%)

Memory
-11.1MiB live, 508.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 968×lower-*.f64
3 948×lower-*.f32
3 072×lower-fma.f64
3 060×lower-fma.f32
2 970×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048306
096186
1365178
22794178
09464162
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 034
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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))))
(neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))
(*.f32 (PI.f32) u2)
Outputs
(+.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(+.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (*.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))) #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(fma.f32 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
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(*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 (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)))
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(*.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 u1))
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(*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 u1 u1))
(*.f32 (exp.f32 (log.f32 (fma.f32 u1 u1 u1))) (exp.f32 (log.f32 (fma.f32 u1 u1 u1))))
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(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify440.0ms (3%)

Memory
19.9MiB live, 805.1MiB allocated
Algorithm
egg-herbie
Rules
11 544×lower-fma.f64
11 544×lower-fma.f32
8 490×lower-*.f64
8 490×lower-*.f32
4 558×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08558640
126847334
083306930
Stop Event
iter limit
node limit
Counts
348 → 344
Calls
Call 1
Inputs
(* (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))))
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(+ (* -1/2 (* (/ (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (sqrt -1) (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) (sqrt (+ (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))))))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (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))))))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(+ (* -1/2 (* (/ (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* 1/2 (* (/ (* (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 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 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 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))))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))) u1)) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))
(* (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))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (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) (+ (* (sqrt (log (- 1 u1))) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* 1/3 (pow (PI) 4)))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* -2/45 (pow (PI) 6)) (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6)))))) (sqrt (log (- 1 u1)))))))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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))))
(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))))
1/3
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(+ 1/3 (* 1/4 u1))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* 1/4 u1)
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 3 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(+ (log -1) (log (/ 1 u1)))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(log (/ -1 u1))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 2 u1)))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 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 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #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)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 u1) #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 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) u1) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)))
(+ (* -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 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32))))
(+ (* -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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1)))) 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)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
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(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* (sqrt (log (- 1 u1))) (* (sqrt -1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/4 u1))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/4 u1))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/4 u1))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* 1/4 u1)
(*.f32 u1 #s(literal 1/4 binary32))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* u1 (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 u1 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 3 u1)))
(*.f32 (*.f32 (fma.f32 u1 #s(literal 3 binary32) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* 3/2 u1)))))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 3/2 binary32) #s(literal 3 binary32)) #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 3 (* u1 (+ 3/2 (* 2 u1)))))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 2 binary32) #s(literal 3/2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)))
(+ (log -1) (log (/ 1 u1)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (log (/ 1 u1))) (* 2 (/ 1 u1)))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1))
(- (+ (log -1) (+ (log (/ 1 u1)) (/ 1 (pow u1 2)))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1)))
(- (+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1 (pow u1 2)) (* 1/3 (/ 1 (pow u1 3)))))) (* 2 (/ 1 u1)))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (log.f32 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 2 binary32) u1))))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (log (/ -1 u1)) (* 2 (/ 1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -2 binary32) u1))
(+ (log (/ -1 u1)) (* -1 (/ (- 2 (/ 1 u1)) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ (log (/ -1 u1)) (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/3 (/ 1 u1))) u1))) u1)))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* 2 u1)))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32)) u1) u1)
(* (pow u1 2) (+ 1 (* u1 (+ 2 u1))))
(*.f32 (*.f32 (fma.f32 u1 (+.f32 u1 #s(literal 2 binary32)) #s(literal 1 binary32)) u1) u1)
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(pow u1 4)
(pow.f32 u1 #s(literal 4 binary32))
(* (pow u1 4) (+ 1 (* 2 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u1)))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1 (+ (* 2 (/ 1 u1)) (/ 1 (pow u1 2)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))

eval387.0ms (2.6%)

Memory
4.1MiB live, 390.1MiB allocated
Compiler

Compiled 109 677 to 6 000 computations (94.5% saved)

prune558.0ms (3.8%)

Memory
15.9MiB live, 615.4MiB allocated
Pruning

62 alts after pruning (61 fresh and 1 done)

PrunedKeptTotal
New2 195502 245
Fresh161127
Picked415
Done000
Total2 215622 277
Accuracy
99.9%
Counts
2 277 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(fma.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
86.6%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
90.4%
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
83.7%
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
90.3%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.1%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
86.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
35.4%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
41.2%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32))))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))
41.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
93.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) #s(literal 2 binary32) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)))) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
93.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (-.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
35.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) #s(literal 2 binary32)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) #s(literal 2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32))))
93.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
93.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
91.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.3%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.7%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.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)))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
58.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 u1 u1)) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) u1))) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 u1 (fma.f32 u1 u1 u1)))))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
84.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
58.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
58.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
63.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
79.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
62.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
55.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
55.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
74.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.6%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
76.9%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
Compiler

Compiled 4 233 to 2 391 computations (43.5% saved)

simplify680.0ms (4.6%)

Memory
6.5MiB live, 479.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
cost-diff0
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
cost-diff64
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
cost-diff0
(/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(*.f32 #s(literal 2 binary32) (PI.f32))
cost-diff160
(-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
cost-diff0
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)
cost-diff0
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(*.f32 #s(literal 2 binary32) (PI.f32))
cost-diff0
(sqrt.f32 u1)
cost-diff96
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
cost-diff32
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
cost-diff736
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
cost-diff1056
(-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
cost-diff1472
(/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
Rules
14 972×lower-fma.f64
14 956×lower-fma.f32
4 788×lower-*.f64
4 758×lower-*.f32
2 832×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054699
0105624
1219614
2636600
33307508
08266506
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 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (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 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))))
(/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(sqrt.f32 u1)
u1
#s(literal -1 binary32)
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32))
#s(literal -5/3 binary32)
#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
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(*.f32 u1 u1)
u1
(*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #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
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
#s(literal 1 binary32)
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))
(sin.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(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 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))))
(cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2))) (+.f32 u2 u2)))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)))
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)))))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)))
(-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
#s(literal 0 binary32)
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(literal -1 binary32)
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32))
#s(literal -5/3 binary32)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(+.f32 (PI.f32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 u1)))) u1))) (/.f32 (cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 u1)))) u1))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)))
(sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(sqrt.f32 (*.f32 u1 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 u1)))) u1)))
(-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(*.f32 u1 (fma.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 u1)))) u1))
(*.f32 u1 u1)
u1
(*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1))
(-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(+.f32 (PI.f32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))) #s(literal 1/2 binary32))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(*.f32 u1 u1)
u1
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) u2)) (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))) #s(literal 1/2 binary32)))
(+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))
(+.f32 (cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 u2 (+.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(PI.f32)
(+.f32 u2 u2)
u2
#s(literal 1 binary32)
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(neg.f32 (sin.f32 (*.f32 (PI.f32) u2)))
(sin.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)

localize405.0ms (2.8%)

Memory
-54.7MiB live, 736.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(*.f32 (PI.f32) (+.f32 u2 u2))
accuracy99.1%
(*.f32 (PI.f32) u2)
accuracy98.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
accuracy97.8%
(PI.f32)
accuracy99.0%
(/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
accuracy98.8%
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
accuracy98.4%
(*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
accuracy97.8%
(PI.f32)
accuracy99.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy99.5%
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy99.1%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy97.8%
(PI.f32)
accuracy100.0%
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.0%
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
accuracy98.3%
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
accuracy98.3%
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
accuracy97.8%
(PI.f32)
Samples
264.0ms250×1valid
8.0ms5exit
1.0ms0invalid
Compiler

Compiled 771 to 62 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
adjust: 58.0ms (28.1% of total)
ival-mult: 56.0ms (27.2% of total)
ival-add: 20.0ms (9.7% of total)
ival-cos: 16.0ms (7.8% of total)
ival-sqrt: 14.0ms (6.8% of total)
const: 13.0ms (6.3% of total)
ival-div: 7.0ms (3.4% of total)
ival-sub: 6.0ms (2.9% of total)
ival-sin: 6.0ms (2.9% of total)
ival-neg: 4.0ms (1.9% of total)
ival-pi: 3.0ms (1.5% of total)
ival-log1p: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (0.6%)

Memory
13.6MiB live, 134.1MiB allocated
Counts
27 → 336
Calls
Call 1
Inputs
#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (patch (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (patch (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (patch (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) (PI.f32)) (patch (*.f32 #s(literal 2 binary32) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (patch (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1) (patch (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) (patch (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (patch (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #<representation binary32>) () ())
#s(alt (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) (patch (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (patch (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (patch (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (patch (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<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 (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (patch (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())
Outputs
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (patch (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor inf u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor inf u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor inf u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor inf u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor -inf u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt 0 (taylor -inf u2) (#s(alt (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (patch (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
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#s(alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))) (taylor 0 u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))) (taylor 0 u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))))) (taylor 0 u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
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#s(alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (taylor inf u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (taylor -inf u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (taylor -inf u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (taylor -inf u2) (#s(alt (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) (patch (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor 0 u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))) (taylor 0 u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4)))))) (taylor 0 u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))))))))) (taylor 0 u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor -inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor -inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor -inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow (sin (* u2 (PI))) 2)) (taylor -inf u2) (#s(alt (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) (patch (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) u2) (patch (*.f32 (PI.f32) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
46.0ms
u2
@0
(+ (* (* (PI) u2) (* (* (PI) u2) (* (PI) u2))) (* (* (PI) u2) (* (* (PI) u2) (* (PI) u2))))
5.0ms
u2
@inf
(* (/ (sqrt (- (* u1 u1) (* (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(sqrt (+ (* (* u1 u1) (+ (* u1 -5/3) 1/2)) u1))
1.0ms
u2
@0
(* (/ (sqrt (- (* u1 u1) (* (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@-inf
(* (/ (sqrt (- (* u1 u1) (* (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2)) (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))

rewrite151.0ms (1%)

Memory
-12.3MiB live, 302.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 782×lower-fma.f64
1 768×lower-fma.f32
1 682×lower-*.f64
1 658×lower-*.f32
730×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048430
092369
1371204
02943204
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 473
Calls
Call 1
Inputs
(/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(sqrt.f32 u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)
(-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(PI.f32)
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) (+.f32 u2 u2))
Outputs
#s(literal 0 binary32)
#s(literal 0 binary32)
#s(literal 0 binary32)
(neg.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32)))
(+.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))
(pow.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(fma.f32 (PI.f32) (*.f32 u2 (*.f32 (PI.f32) u2)) #s(literal 0 binary32))
(fma.f32 (PI.f32) (neg.f32 (*.f32 u2 (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 u2)) #s(literal 0 binary32))
(fma.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2)) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) (neg.f32 u2)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (*.f32 u2 u2)) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))) #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2)))) (/.f32 #s(literal -1 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2)))) #s(literal 0 binary32))
(fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32)) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) (neg.f32 u2)) (*.f32 (PI.f32) u2) #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) u2)) u2 #s(literal 0 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) u2)) (neg.f32 u2) #s(literal 0 binary32))
(fma.f32 (*.f32 u2 (*.f32 (PI.f32) u2)) (PI.f32) #s(literal 0 binary32))
(fma.f32 (pow.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32)) (pow.f32 (*.f32 (PI.f32) u2) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 u2 (*.f32 (PI.f32) u2)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) u2 #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2 #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) (PI.f32)) u2 #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) u2) (PI.f32) #s(literal 0 binary32))
(-.f32 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))
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(/.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) #s(literal -1/4 binary32))) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))) (*.f32 u1 (*.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))))) #s(literal 1/8 binary32)) (*.f32 u1 u1)) (fma.f32 u1 (*.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)))) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 (*.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
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(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 #s(literal 0 binary32)))))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 #s(literal 0 binary32)))))
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(*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
#s(literal 0 binary32)

simplify453.0ms (3.1%)

Memory
16.5MiB live, 723.7MiB allocated
Algorithm
egg-herbie
Rules
11 150×lower-fma.f64
11 150×lower-fma.f32
8 392×lower-*.f64
8 392×lower-*.f32
3 540×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06295854
120575332
271585315
080665009
Stop Event
iter limit
node limit
Counts
336 → 334
Calls
Call 1
Inputs
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
0
0
0
0
0
0
0
0
0
0
0
0
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(* (sqrt u1) (pow (sqrt -1) 2))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (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) (+ (* -5/6 (* (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 (+ (* -5/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/32 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -5/3))))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (pow (sqrt -5/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt -5/3)))))))
(* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 5/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt 5/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 5/3))))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt 5/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt 5/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 5/3)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt 5/3)))) (* 1/32 (* (sqrt u1) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (pow (sqrt 5/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt 5/3)))) (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 5/3)))))))
(sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1)))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -5/3 u1))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -5/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -5/6 (sqrt (/ 1 u1))) (* -1/32 (sqrt (/ 1 u1))))))))
(* (sqrt (pow u1 3)) (sqrt -5/3))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -5/3)))) (* (sqrt (/ 1 u1)) (sqrt -5/3))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -5/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -5/3)))) (* (sqrt (/ 1 u1)) (sqrt -5/3)))))
(* (pow u1 2) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -5/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -5/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -5/3)))) (* (sqrt (/ 1 u1)) (sqrt -5/3))))))
(* (sqrt (pow u1 3)) (* (sqrt -1) (sqrt 5/3)))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt 5/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt 5/3)))))
(* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt 5/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sqrt -1) (sqrt 5/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt 5/3))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (sqrt -1) (sqrt 5/3)))) (* 1/32 (* (sqrt u1) (/ (sqrt -1) (pow (sqrt 5/3) 3))))) (pow u1 3))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (sqrt -1) (sqrt 5/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (sqrt 5/3))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* -5/3 u1)))))
(* -5/3 (pow u1 3))
(* (pow u1 3) (- (* 1/2 (/ 1 u1)) 5/3))
(* (pow u1 3) (- (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))) 5/3))
(* (pow u1 3) (- (+ (* 1/2 (/ 1 u1)) (/ 1 (pow u1 2))) 5/3))
(* -5/3 (pow u1 3))
(* -1 (* (pow u1 3) (- 5/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 3) (+ 5/3 (* -1 (/ (+ 1/2 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 5/3 (* -1 (/ (+ 1/2 (/ 1 u1)) u1)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1/4 (pow u1 2))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* -1/3 u1) 1/4))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* u1 (- (* -13/36 u1) 1/3)) 1/4))))
(* -1/16 (pow u1 8))
(* -1 (* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u1))) u1)) 1/16))
(* (pow u1 8) (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) (pow u1 2))) (+ 1/16 (* 1/6 (/ 1 u1)))))
(* -1/16 (pow u1 8))
(* -1 (* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 u1))) u1)) 1/16))
(* (pow u1 8) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow u1 2)) (* 13/36 (/ 1 u1)))) u1)) 1/16))
(* (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)))))))))))
(* 1/2 (* (pow u1 2) (cos (* 2 (* u2 (PI))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (* 1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (* 1/2 (cos (* 2 (* u2 (PI))))))))
(* (pow u1 2) (+ (* 1/3 (/ (cos (* 2 (* u2 (PI)))) u1)) (+ (* 7/18 (/ (cos (* 2 (* u2 (PI)))) (pow u1 2))) (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (* 20/27 (/ (cos (* 2 (* u2 (PI)))) (pow u1 3)))))))
(/ (* (pow u1 2) (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4))) (sqrt -1))
(* (pow u1 2) (+ (* -1/6 (/ (cos (* 2 (* u2 (PI)))) (* u1 (* (sqrt -1) (sqrt -1/4))))) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)) (sqrt -1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4)))) (* 1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* u1 (* (sqrt -1) (sqrt -1/4)))))) u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)) (sqrt -1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2))))) (* (sqrt -1) (sqrt -1/4)))) (* -1/2 (/ (* (cos (* 2 (* u2 (PI)))) (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2))))) (* u1 (* (sqrt -1) (sqrt -1/4)))))) u1)) (* 1/6 (/ (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/4))))) u1)) (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1/4)) (sqrt -1))))
(sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))
(+ (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))
(+ (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))
(+ (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))) (* 2/3 (* (pow (PI) 4) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (/ (- (pow u1 2) (* (pow u1 4) (pow (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))) 2))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 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))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(/ (* (pow u1 2) (sqrt -1/4)) (sqrt -1))
(* (pow u1 2) (- (/ (sqrt -1/4) (sqrt -1)) (* 1/6 (/ 1 (* u1 (* (sqrt -1) (sqrt -1/4)))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* u1 (* (sqrt -1) (sqrt -1/4))))) (* 1/6 (/ 1 (* (sqrt -1) (sqrt -1/4))))) u1)) (/ (sqrt -1/4) (sqrt -1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (* (sqrt -1) (sqrt -1/4)))) (* -1/2 (/ (- 1 (* -1/6 (/ (+ 1/2 (* 1/36 (/ 1 (pow (sqrt -1/4) 2)))) (pow (sqrt -1/4) 2)))) (* u1 (* (sqrt -1) (sqrt -1/4)))))) u1)) (* 1/6 (/ 1 (* (sqrt -1) (sqrt -1/4))))) u1)) (/ (sqrt -1/4) (sqrt -1))))
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) (+ (* 2/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))
(* (sqrt u1) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))) (* (sqrt u1) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))) (* 1/4 (* (sqrt (/ 1 u1)) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))))))
(+ (* (sqrt u1) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))) (* 1/2 (* (sqrt u1) (* (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* 1/2 (* (pow u1 2) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) u1)) (* 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) u1)) (+ (* 7/18 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) (pow u1 2))) (* 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) u1)) (+ (* 7/18 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) (pow u1 2))) (+ (* 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (* 20/27 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) (pow u1 3)))))))
(* 1/2 (* (pow u1 2) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))))
(* (pow u1 2) (+ (* 1/3 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) u1)) (* 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -7/18 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) u1)) (* -1/3 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))) u1)) (* 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/18 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI)))))))) (* 20/27 (/ (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))) u1))) u1)) (* -1/3 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))) u1)) (* 1/2 (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))))
(sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))))))
(+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (pow u2 2) (+ (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))))) (* (* (pow u2 2) (+ (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6)))) (* -2/45 (pow (PI) 6)))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(* (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1))))))) (+ (* -1 (pow (sin (* u2 (PI))) 2)) (* 1/2 (+ 1 (cos (* 2 (* u2 (PI))))))))
(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))))))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (* 20/27 (/ 1 (pow u1 3)))))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 (/ 1 u1))))
(* (pow u1 2) (+ 1/2 (+ (/ 7/18 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 7/18 (* 20/27 (/ 1 u1))) u1)) 1/3) 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)))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (+ (* 1/3 (/ 1 u1)) (/ 1 (pow u1 3))))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 u1)) u1)) 1/3) u1))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* (pow u2 3) (pow (PI) 3))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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))))
(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))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 u1)))
(* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* 13/36 u1)))))
(* (pow u1 4) (+ 1/4 (* u1 (+ 1/3 (* u1 (+ 13/36 (* 1/6 u1)))))))
(* 1/16 (pow u1 8))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
(* 1/16 (pow u1 8))
(* (pow u1 8) (+ 1/16 (* 1/6 (/ 1 u1))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* -1 (pow (sin (* u2 (PI))) 2))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* 2 (* (pow u2 3) (pow (PI) 3)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 2 binary32)))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (pow (PI) 2))
(*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32))))
(* -1 (sqrt u1))
(neg.f32 (sqrt.f32 u1))
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1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
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(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))
(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))
(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(* 1/4 (pow u1 4))
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(* 1/16 (pow u1 8))
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(*.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 13/36 binary32) (*.f32 u1 u1)))))
(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (+ (* 1/6 (/ 1 u1)) (* 1/3 (/ 1 (pow u1 3)))))))
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(* 1/16 (pow u1 8))
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(* (pow u1 8) (+ 1/16 (+ (/ 13/36 (pow u1 2)) (* 1/6 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 1/6 binary32) u1) (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 13/36 binary32) (*.f32 u1 u1)))))
(* (pow u1 8) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 u1))) u1)) 1/6) u1))))
(*.f32 (pow.f32 u1 #s(literal 8 binary32)) (-.f32 #s(literal 1/16 binary32) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 (+.f32 #s(literal 13/36 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1)))
(* 1/2 (pow u1 2))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(* 1/4 (pow u1 4))
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(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
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(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) u1) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
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(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))
(*.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (neg.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/3 binary32) (*.f32 u2 u2)))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))) (* 1/3 (pow (PI) 4))))))
(*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1 (* (pow u2 2) (+ (* -1/360 (pow (PI) 8)) (* -1/2520 (pow (PI) 8))))) (* -1 (+ (* 1/60 (pow (PI) 6)) (* 1/36 (pow (PI) 6))))))))))
(*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal -1/315 binary32)) (neg.f32 (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* -1 (pow (sin (* u2 (PI))) 2))
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(* -1 (pow (sin (* u2 (PI))) 2))
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(* -1 (pow (sin (* u2 (PI))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)))
(* u2 (PI))
(*.f32 u2 (PI.f32))
(* u2 (PI))
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(* u2 (PI))
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(*.f32 u2 (PI.f32))
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(*.f32 u2 (PI.f32))
(* u2 (PI))
(*.f32 u2 (PI.f32))
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(* u2 (PI))
(*.f32 u2 (PI.f32))
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(*.f32 u2 (PI.f32))
(* u2 (PI))
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(* 2 (* u2 (PI)))
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(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
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(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))

eval269.0ms (1.8%)

Memory
12.7MiB live, 451.6MiB allocated
Compiler

Compiled 83 533 to 5 556 computations (93.3% saved)

prune396.0ms (2.7%)

Memory
16.9MiB live, 622.2MiB allocated
Pruning

75 alts after pruning (74 fresh and 1 done)

PrunedKeptTotal
New1 686231 709
Fresh55156
Picked505
Done011
Total1 696751 771
Accuracy
99.9%
Counts
1 771 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(fma.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
86.6%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
78.3%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
90.4%
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))))
83.7%
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
90.3%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
83.7%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
76.1%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
83.1%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
76.3%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
91.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
84.2%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
93.9%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))))) (sin.f32 (*.f32 (PI.f32) u2)))))
86.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) #s(literal 2 binary32) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)))) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
93.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (-.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
35.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) #s(literal 2 binary32)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) #s(literal 2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32))))
93.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
93.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
91.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.7%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
98.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
88.4%
(*.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)))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) u1)))) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.0%
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
84.1%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
58.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 u1 u1)) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) u1))) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 u1 (fma.f32 u1 u1 u1)))))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
84.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
72.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
58.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
58.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
63.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
79.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
62.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
55.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
55.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
74.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.9%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
70.6%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
4.6%
(neg.f32 (sqrt.f32 u1))
Compiler

Compiled 4 883 to 2 889 computations (40.8% saved)

simplify358.0ms (2.4%)

Memory
-10.3MiB live, 548.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff128
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
cost-diff0
(/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff64
(*.f32 #s(literal 2 binary32) (PI.f32))
cost-diff64
(-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 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)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(neg.f32 (sqrt.f32 u1))
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 (PI.f32) (+.f32 u2 u2))))
Rules
13 094×lower-fma.f64
13 080×lower-fma.f32
3 636×lower-*.f64
3 604×lower-*.f32
2 818×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054397
0105393
1223393
2532389
31569389
43297389
55228389
08045379
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 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #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
(fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
(PI.f32)
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 u1 u1)
u1
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))
(fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))
(fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32))
#s(literal -13/36 binary32)
#s(literal -1/3 binary32)
#s(literal -1/4 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#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
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(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
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 u2 u2)
(neg.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #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
(fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
(PI.f32)
(*.f32 (PI.f32) #s(literal -2 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u1)))
(/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u1)))
(sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1)))
(*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 u1 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1))
(*.f32 u1 u1)
u1
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) #s(literal 1 binary32))
(fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))
(fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32))
#s(literal -13/36 binary32)
#s(literal -1/3 binary32)
#s(literal -1/4 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u1))
(-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) u1)
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32))
#s(literal 1/4 binary32)
#s(literal 1/3 binary32)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
(+.f32 (PI.f32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (fma.f32 (PI.f32) u2 (cos.f32 (*.f32 (PI.f32) u2))) (fma.f32 (PI.f32) (neg.f32 u2) (cos.f32 (*.f32 (PI.f32) u2)))))
(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
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (PI.f32) u2 (cos.f32 (*.f32 (PI.f32) u2))) (fma.f32 (PI.f32) (neg.f32 u2) (cos.f32 (*.f32 (PI.f32) u2))))
(cos.f32 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 u2 (neg.f32 u2))))
(*.f32 u2 u2)
(neg.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))

localize203.0ms (1.4%)

Memory
0.8MiB live, 435.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(PI.f32)
accuracy98.9%
(*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy60.0%
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy99.0%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy99.0%
(/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
accuracy98.9%
(PI.f32)
accuracy98.8%
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
accuracy99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
accuracy99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
accuracy98.9%
(PI.f32)
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
accuracy100.0%
(sqrt.f32 u1)
accuracy100.0%
(neg.f32 (sqrt.f32 u1))
accuracy99.5%
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
accuracy99.4%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
accuracy99.0%
(*.f32 (PI.f32) (+.f32 u2 u2))
accuracy98.9%
(PI.f32)
Samples
124.0ms253×0valid
2.0ms5exit
1.0ms0invalid
Compiler

Compiled 450 to 64 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 34.0ms (33.5% of total)
ival-add: 16.0ms (15.8% of total)
ival-sqrt: 14.0ms (13.8% of total)
const: 9.0ms (8.9% of total)
ival-cos: 9.0ms (8.9% of total)
ival-neg: 8.0ms (7.9% of total)
ival-log: 4.0ms (3.9% of total)
ival-div: 2.0ms (2% of total)
ival-sub: 2.0ms (2% of total)
ival-log1p: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory
-0.9MiB live, 78.4MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (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)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (patch (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 2 binary32) (PI.f32)) (patch (*.f32 #s(literal 2 binary32) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (patch (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #<representation binary32>) () ())
#s(alt (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) (patch (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) #<representation binary32>) () ())
#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)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))) #<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 (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (+.f32 u2 u2)) (patch (*.f32 (PI.f32) (+.f32 u2 u2)) #<representation binary32>) () ())
#s(alt (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (patch (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) (patch (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 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 (PI.f32) (PI.f32)) (patch (*.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<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 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) #<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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) #<representation binary32>) () ())) ())
#s(alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) #<representation binary32>) () ())) ())
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#s(alt (* 1/4 (pow u1 4)) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/4 (pow u1 4)) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (patch (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor 0 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 0 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 0 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 0 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor 0 u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor 0 u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor 0 u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor 0 u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) (patch (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) #<representation binary32>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
3.0ms
u1
@inf
(* (/ (sqrt (* (* u1 u1) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -13/36) -1/3)) -1/4)) 1))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))
2.0ms
u2
@inf
(* (/ (sqrt (* (* u1 u1) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -13/36) -1/3)) -1/4)) 1))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u2
@0
(* (/ (sqrt (* (* u1 u1) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -13/36) -1/3)) -1/4)) 1))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@-inf
(* (/ (sqrt (* (* u1 u1) (+ (* (* u1 u1) (+ (* u1 (+ (* u1 -13/36) -1/3)) -1/4)) 1))) (sqrt (- u1 (* (* u1 u1) (+ (* u1 (+ (* u1 1/4) 1/3)) 1/2))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (neg (log (- 1 u1)))) (+ (* (cos (* (PI) u2)) (cos (* (PI) u2))) (* (* u2 u2) (neg (* (PI) (PI))))))

rewrite356.0ms (2.4%)

Memory
27.4MiB live, 653.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 496×lower-fma.f64
5 482×lower-fma.f32
4 864×lower-*.f64
4 832×lower-*.f32
3 110×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054227
0105218
1396199
22842195
09394186
Stop Event
iter limit
node limit
iter limit
Counts
23 → 581
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(PI.f32)
(*.f32 (PI.f32) (+.f32 u2 u2))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (+.f32 u2 u2)))
(*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.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))))))
(/.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))))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(*.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)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(exp.f32 (fma.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32) (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 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))
(pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(-.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 (/.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) (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) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.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 (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 (+.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))))))
(sqrt.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (fma.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
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(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (+.f32 u2 u2)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 u2 u2)))
(*.f32 (*.f32 (fma.f32 u2 u2 #s(literal 0 binary32)) (+.f32 u2 u2)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 u2 #s(literal 0 binary32))))
(*.f32 (*.f32 (+.f32 u2 u2) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (+.f32 u2 u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (+.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
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(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
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(cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
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(*.f32 (*.f32 (*.f32 u2 u2) (neg.f32 (PI.f32))) (PI.f32))

simplify382.0ms (2.6%)

Memory
-41.8MiB live, 657.5MiB allocated
Algorithm
egg-herbie
Rules
10 420×lower-fma.f64
10 420×lower-fma.f32
9 208×lower-*.f64
9 208×lower-*.f32
3 888×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07297171
124296005
084235679
Stop Event
iter limit
node limit
Counts
276 → 274
Calls
Call 1
Inputs
(* (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)))))))))))
(* (* (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)))))))))
(* (* (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))) (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))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (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))))))) (* -1/6 (sqrt (/ 1 u1))))))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
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(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
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(- (+ (/ 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)))))
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(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
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(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))
(+ (* -1/2 (* (/ (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
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(* (sqrt (log (- 1 u1))) (sqrt -1))
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(* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))
(* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))
(* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (log (- 1 u1))))))
u1
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(* (pow u1 4) (- (/ 1 (pow u1 3)) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1))))))
(* -1/4 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 u1))) u1)) 1/4))
(* (pow u1 4) (- (* -1 (/ (+ 1/3 (* -1 (/ (- (/ 1 u1) 1/2) u1))) u1)) 1/4))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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(* u1 (* (cos (* 2 (* u2 (PI)))) (sqrt 13/9)))
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(* (* u1 (cos (* 2 (* u2 (PI))))) (sqrt (/ (+ 1 (* (pow u1 2) (- (* u1 (- (* -13/36 u1) 1/3)) 1/4))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
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(* (* u1 (cos (* 2 (* u2 (PI))))) (sqrt (/ (+ 1 (* (pow u1 2) (- (* u1 (- (* -13/36 u1) 1/3)) 1/4))) (- u1 (* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))))
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(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 (sqrt 13/9))
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(* -1 (/ (* u1 (sqrt -13/9)) (sqrt -1)))
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(* -1 (* u1 (+ (* -1 (/ (- (* -1/2 (/ (- 89/81 (* 64/729 (/ 1 (pow (sqrt -13/9) 2)))) (* u1 (* (sqrt -13/9) (sqrt -1))))) (* 8/27 (/ 1 (* (sqrt -13/9) (sqrt -1))))) u1)) (/ (sqrt -13/9) (sqrt -1)))))
(* -1 (* u1 (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (- 2048/243 (* -8/27 (/ (- 89/81 (* 64/729 (/ 1 (pow (sqrt -13/9) 2)))) (pow (sqrt -13/9) 2)))) (* u1 (* (sqrt -13/9) (sqrt -1))))) (* 1/2 (/ (- 89/81 (* 64/729 (/ 1 (pow (sqrt -13/9) 2)))) (* (sqrt -13/9) (sqrt -1))))) u1)) (* 8/27 (/ 1 (* (sqrt -13/9) (sqrt -1))))) u1)) (/ (sqrt -13/9) (sqrt -1)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/12 (pow (PI) 4)) (+ (* 1/4 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/24 (pow (PI) 6)) (* -1/360 (pow (PI) 6))))))))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (/ (pow (cos (* u2 (PI))) 2) (pow u2 2))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (/ (pow (cos (* u2 (PI))) 2) (pow u2 2))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (/ (pow (cos (* u2 (PI))) 2) (pow u2 2))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (/ (pow (cos (* u2 (PI))) 2) (pow u2 2))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (/ (pow (cos (* u2 (PI))) 2) (pow u2 2))))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (/ (pow (cos (* u2 (PI))) 2) (pow u2 2))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
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(+ (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))
(* -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)))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (pow (cos (* u2 (PI))) 2))))
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(* (* (sqrt -1) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (pow (cos (* u2 (PI))) 2))) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (sqrt (log (/ -1 u1))) (* (pow (sqrt -1) 2) (+ (* -1 (* (pow u2 2) (pow (PI) 2))) (pow (cos (* u2 (PI))) 2))))
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(* (sqrt (log (- 1 u1))) (sqrt -1))
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(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (* (pow u2 2) (* (sqrt -1) (+ (* 1/12 (pow (PI) 4)) (* 1/4 (pow (PI) 4))))) (sqrt (log (- 1 u1)))))))
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(* -1 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (* (pow (cos (* u2 (PI))) 2) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))))
(* -1 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1)))))
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(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (* (pow (cos (* u2 (PI))) 2) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))))
(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (* (pow (cos (* u2 (PI))) 2) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))))
(* (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))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
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(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
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(+ (* -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)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 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))))
(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))))
(* 1/2 (pow u1 2))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 1/4 (pow u1 4))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (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 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (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)))))) (* 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 u1 u1) (fma.f32 u1 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (*.f32 u1 (*.f32 u1 u1))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)))
(+ (* -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 #s(literal -1/2 binary32) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32))))
(+ (* -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 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))))) u1)))) 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)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1)))) u1)) (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -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 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32)))))))
(+ (* (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 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.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 #s(literal -1/4 binary32) (sqrt.f32 (*.f32 u1 (*.f32 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 (*.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (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 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
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(* (pow u2 2) (+ (* -1 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (/ (* (pow (cos (* u2 (PI))) 2) (sqrt -1)) (pow u2 2)) (sqrt (log (- 1 u1))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2))))))
(* (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 u1 (*.f32 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 (*.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (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 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 u1) (*.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (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 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 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)))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1) (*.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))
(fma.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1) #s(literal 1/2 binary32))) (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)))
(fma.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)))) u1)) (neg.f32 u1)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))
(* 1/2 (pow u1 2))
(*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* 1/3 u1)))
(*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(* (pow u1 2) (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))
(*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* 1/4 (pow u1 4))
(*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)))
(* (pow u1 4) (+ 1/4 (* 1/3 (/ 1 u1))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/3 binary32) u1)))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* (pow u1 4) (+ 1/4 (+ (/ 1/2 (pow u1 2)) (* 1/3 (/ 1 u1)))))
(*.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/3 binary32) u1))))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(neg.f32 (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))))

eval160.0ms (1.1%)

Memory
9.9MiB live, 235.4MiB allocated
Compiler

Compiled 39 193 to 3 846 computations (90.2% saved)

prune287.0ms (2%)

Memory
17.1MiB live, 624.2MiB allocated
Pruning

89 alts after pruning (85 fresh and 4 done)

PrunedKeptTotal
New1 192311 223
Fresh155469
Picked235
Done011
Total1 209891 298
Accuracy
99.9%
Counts
1 298 → 89
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(fma.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
86.6%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
78.3%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
90.4%
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))))
4.6%
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
4.6%
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
83.7%
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
90.3%
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.8%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
83.7%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
76.1%
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
93.3%
(*.f32 (/.f32 (*.f32 u1 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
83.1%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
76.3%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
94.0%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.3%
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (neg.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.2%
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (*.f32 u1 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.2%
(*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (sqrt.f32 (fma.f32 u1 u1 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.3%
(*.f32 (*.f32 u1 (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
93.9%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 u2 (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))))) (sin.f32 (*.f32 (PI.f32) u2)))))
86.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) #s(literal 2 binary32) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)))) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
93.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (-.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))))
35.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) #s(literal 2 binary32)) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) #s(literal 2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
93.7%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32))))
93.5%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
93.6%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
93.8%
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
82.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
91.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
75.7%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
78.7%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
72.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
83.5%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
93.5%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
98.8%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
78.7%
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
93.5%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) u1)))) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)))))
84.0%
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.6%
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.5%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
58.2%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (*.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
81.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (*.f32 u1 u1)) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 u1 (fma.f32 u1 u1 u1))) (*.f32 (fma.f32 u1 u1 u1) (*.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) u1))) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 (*.f32 u1 u1) (*.f32 u1 u1) (*.f32 u1 (fma.f32 u1 u1 u1)))))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
83.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
76.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
84.2%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
82.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
75.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
78.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
72.8%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
52.4%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
58.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
58.8%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
67.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
74.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
63.6%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
87.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
88.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
79.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
55.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
62.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))))
52.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
4.0%
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
74.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.0%
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
76.5%
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
76.9%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
70.6%
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
4.6%
(neg.f32 (sqrt.f32 u1))
Compiler

Compiled 6 944 to 2 398 computations (65.5% saved)

regimes479.0ms (3.3%)

Memory
-6.3MiB live, 464.0MiB allocated
Counts
137 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
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(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (neg.f32 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 u1 (*.f32 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 u1 (*.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (/.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) #s(literal 4 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32))))) (*.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
Calls

10 calls:

63.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
62.0ms
cosTheta_i
59.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
51.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
48.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%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)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes366.0ms (2.5%)

Memory
0.0MiB live, 316.9MiB allocated
Counts
92 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (*.f32 u1 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (*.f32 u1 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (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 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) #s(literal 1 binary32))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (neg.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.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 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (-.f32 (-.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32)))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (sqrt.f32 (fma.f32 u1 u1 (*.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) 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 (PI.f32) (+.f32 u2 u2))))
Calls

10 calls:

56.0ms
cosTheta_i
50.0ms
u2
49.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
38.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
38.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%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)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes271.0ms (1.8%)

Memory
7.5MiB live, 321.6MiB allocated
Counts
75 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
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(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)) (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

42.0ms
cosTheta_i
39.0ms
(-.f32 #s(literal 1 binary32) u1)
29.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
28.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
26.0ms
(*.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
94.0%1cosTheta_i
94.0%1u1
97.6%2u2
97.1%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)))
94.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.0%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.0%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.0%1(-.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)

regimes125.0ms (0.9%)

Memory
21.0MiB live, 97.3MiB allocated
Counts
72 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (*.f32 u1 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32))) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 u1 (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32))) u1) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))) (*.f32 u1 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

3 calls:

56.0ms
u2
49.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
97.4%2u2
97.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes151.0ms (1%)

Memory
0.2MiB live, 106.7MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Calls

3 calls:

66.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
55.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
28.0ms
u2
Results
AccuracySegmentsBranch
97.4%2u2
97.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes133.0ms (0.9%)

Memory
-4.0MiB live, 80.0MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 5/3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) (*.f32 (*.f32 u1 (neg.f32 u1)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (*.f32 u1 u1)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Calls

3 calls:

78.0ms
u2
38.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
97.4%2u2
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
97.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes103.0ms (0.7%)

Memory
25.9MiB live, 64.5MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
Outputs
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Calls

3 calls:

77.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
12.0ms
u2
11.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
97.4%2u2
97.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
97.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes217.0ms (1.5%)

Memory
-47.8MiB live, 285.0MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
Calls

10 calls:

78.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
23.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
23.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
14.0ms
u1
13.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
91.8%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)
96.6%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)))
96.9%2u2
96.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes95.0ms (0.6%)

Memory
-0.2MiB live, 198.1MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
Calls

9 calls:

12.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
11.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
10.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
u2
Results
AccuracySegmentsBranch
94.8%2u1
94.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
94.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
94.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
94.8%2(-.f32 #s(literal 1 binary32) u1)
95.5%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)))
95.9%2u2
95.8%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes137.0ms (0.9%)

Memory
24.6MiB live, 222.0MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
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)))
17.0ms
u1
16.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
u2
10.0ms
cosTheta_i
Results
AccuracySegmentsBranch
92.8%2u1
92.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
92.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
92.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
92.8%2(-.f32 #s(literal 1 binary32) u1)
87.6%1cosTheta_i
93.4%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)))
93.8%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.8%2u2
93.8%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes94.0ms (0.6%)

Memory
-2.1MiB live, 231.9MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

10.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
10.0ms
u2
10.0ms
cosTheta_i
10.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
10.0ms
(*.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
83.7%1cosTheta_i
87.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.0%2(-.f32 #s(literal 1 binary32) u1)
87.0%2u1
87.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
88.1%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)))
89.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
89.7%2u2
89.7%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes76.0ms (0.5%)

Memory
-8.9MiB live, 149.7MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u1 (*.f32 u2 u2))) (*.f32 (PI.f32) (PI.f32)) u1))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
Outputs
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
Calls

9 calls:

10.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
9.0ms
u2
9.0ms
u1
8.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
83.7%1u1
83.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.7%1(-.f32 #s(literal 1 binary32) u1)
83.7%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)))
83.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
83.7%1u2
83.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes66.0ms (0.4%)

Memory
24.2MiB live, 101.5MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Calls

10 calls:

9.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
8.0ms
cosTheta_i
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
u1
6.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
82.1%1u1
82.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
82.1%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
82.1%1u2
82.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
82.1%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)))
82.1%1cosTheta_i
82.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
82.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
82.1%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes64.0ms (0.4%)

Memory
-11.0MiB live, 101.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (sqrt.f32 u1))) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
Calls

10 calls:

9.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
9.0ms
u1
8.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms
cosTheta_i
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
82.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
78.7%1cosTheta_i
82.4%2u2
82.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
82.1%2u1
82.1%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)))
82.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
82.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
82.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
82.1%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes15.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
Calls

3 calls:

5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
u2
5.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
82.4%2u2
82.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
82.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes64.0ms (0.4%)

Memory
-3.1MiB live, 81.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
Calls

10 calls:

15.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
cosTheta_i
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
u2
Results
AccuracySegmentsBranch
76.9%1cosTheta_i
80.1%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)))
76.9%1u1
76.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
76.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
76.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
76.9%1(-.f32 #s(literal 1 binary32) u1)
80.1%2u2
80.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
80.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes46.0ms (0.3%)

Memory
4.7MiB live, 81.9MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 2 binary32) (*.f32 u2 (*.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
Outputs
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
Calls

7 calls:

19.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
(-.f32 #s(literal 1 binary32) u1)
5.0ms
u2
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
76.9%1cosTheta_i
76.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
76.9%1(-.f32 #s(literal 1 binary32) u1)
76.9%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)))
76.9%1u2
76.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
76.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 54 to 46 computations (14.8% saved)

regimes35.0ms (0.2%)

Memory
-20.4MiB live, 60.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
Calls

10 calls:

5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms
cosTheta_i
3.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
75.7%1u1
75.7%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)))
75.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
75.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
75.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
75.7%1cosTheta_i
75.7%1u2
75.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
75.7%1(-.f32 #s(literal 1 binary32) u1)
75.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes31.0ms (0.2%)

Memory
-12.2MiB live, 64.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(/.f32 (neg.f32 u1) (+.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -5/3 binary32) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
Calls

10 calls:

5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
(*.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
cosTheta_i
3.0ms
(-.f32 #s(literal 1 binary32) u1)
3.0ms
u1
Results
AccuracySegmentsBranch
72.8%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)))
72.8%1u1
72.8%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
72.8%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
72.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
72.8%1u2
72.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
72.8%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
72.8%1(-.f32 #s(literal 1 binary32) u1)
72.8%1cosTheta_i
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes21.0ms (0.1%)

Memory
6.3MiB live, 47.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
Calls

10 calls:

4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms
(-.f32 #s(literal 1 binary32) u1)
2.0ms
cosTheta_i
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
63.6%1u2
63.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
63.6%1u1
63.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
63.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
63.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
63.6%1cosTheta_i
63.6%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)))
63.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
63.6%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes17.0ms (0.1%)

Memory
1.2MiB live, 38.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f32 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
Outputs
(neg.f32 (sqrt.f32 u1))
Calls

10 calls:

3.0ms
cosTheta_i
2.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
4.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
4.6%1(-.f32 #s(literal 1 binary32) u1)
4.6%1cosTheta_i
4.6%1u2
4.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
4.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.6%1u1
4.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
4.6%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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03280589357018471
0.03567070886492729
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03280589357018471
0.03567070886492729
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9993638396263123
0.9994619488716125
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9993638396263123
0.9994619488716125
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9993638396263123
0.9994619488716125
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03280589357018471
0.03567070886492729
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08758334815502167
0.09469936788082123
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.001272057183086872
0.0014723240165039897
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08758334815502167
0.09469936788082123
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
0.9999995231628418
0.9999996423721313
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
0.9999995231628418
0.9999996423721313
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
0.9999955892562866
0.9999957084655762
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify42.0ms (0.3%)

Memory
-3.1MiB live, 35.8MiB allocated
Algorithm
egg-herbie
Rules
296×distribute-lft-neg-in_binary32
222×unsub-neg_binary32
184×neg-mul-1_binary32
154×*-commutative_binary32
142×neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132692
1212692
2307692
3469692
4648692
5806692
6950692
71048692
81075692
91082692
101083692
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 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 8383575/8388608 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8383575/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8383575/8388608 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777209/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777209/16777216 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388571/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(neg.f32 (sqrt.f32 u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) (fma.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2) (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 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 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (*.f32 u1 u1) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) u1))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8383575/8388608 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -13/36 binary32) #s(literal -1/3 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 u1 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
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(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8383575/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 8383575/8388608 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8383575/8388608 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 8383575/8388608 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/2147483648 binary32)) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3006477/2147483648 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3019899/33554432 binary32)) (*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))) (*.f32 (sqrt.f32 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 3019899/33554432 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 u1)))
(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777209/16777216 binary32)) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 16777209/16777216 binary32)) (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777209/16777216 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 16777209/16777216 binary32)) (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 8388571/8388608 binary32)) (*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 8388571/8388608 binary32)) (*.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))
(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) #s(literal 1 binary32))
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))

soundness1.6s (10.9%)

Memory
22.5MiB live, 1 592.9MiB allocated
Rules
11 544×lower-fma.f64
11 544×lower-fma.f32
11 150×lower-fma.f64
11 150×lower-fma.f32
10 420×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048306
096186
1365178
22794178
09464162
07297171
124296005
084235679
048430
092369
1371204
02943204
06295854
120575332
271585315
080665009
03061849
19111570
229181447
371351410
083881352
01339
02239
16539
232039
3235537
0864929
054227
0105218
1396199
22842195
09394186
08558640
126847334
083306930
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 2 024 to 1 149 computations (43.2% saved)

preprocess99.0ms (0.7%)

Memory
0.9MiB live, 191.3MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 2 742 to 686 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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