Beckmann Sample, near normal, slope_x

Time bar (total: 12.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze387.0ms (3.2%)

Memory
18.9MiB live, 338.1MiB 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 (19.5%)

Memory
-85.6MiB live, 2 328.8MiB allocated
Samples
1.8s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 277.0ms (21.1% of total)
ival-mult: 247.0ms (18.8% of total)
ival-log: 179.0ms (13.6% of total)
ival-<=: 136.0ms (10.3% of total)
ival-cos: 124.0ms (9.4% of total)
ival-pi: 118.0ms (9% of total)
ival-sub: 67.0ms (5.1% of total)
ival-sqrt: 54.0ms (4.1% of total)
ival-neg: 39.0ms (3% of total)
ival-and: 33.0ms (2.5% of total)
ival->: 27.0ms (2.1% of total)
exact: 10.0ms (0.8% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain198.0ms (1.6%)

Memory
-34.5MiB live, 172.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2055(0.9999976754188538 0.0070261419750750065 0.11212241649627686)3(0.9999911189079285 0.014930999837815762 0.012042735703289509)(log.f32 (-.f32 #s(literal 1 binary32) u1))
20-1(0.9999300241470337 0.19481858611106873 0.7352287769317627)(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))sensitivity20710
cos.f32(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))sensitivity11
Confusion
Predicted +Predicted -
+2001
-748
Precision
0.966183574879227
Recall
0.9950248756218906
Confusion?
Predicted +Predicted MaybePredicted -
+20010
-71038
Precision?
0.9220183486238532
Recall?
1.0
Freqs
test
numberfreq
049
1206
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms512×0valid
Compiler

Compiled 120 to 46 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 9.0ms (26.9% of total)
ival-log: 8.0ms (23.9% of total)
ival-cos: 5.0ms (14.9% of total)
ival-sqrt: 3.0ms (9% of total)
ival-pi: 2.0ms (6% of total)
ival-sub: 2.0ms (6% of total)
ival-neg: 2.0ms (6% of total)
ival-true: 1.0ms (3% of total)
exact: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)

preprocess47.0ms (0.4%)

Memory
15.0MiB live, 52.4MiB allocated
Algorithm
egg-herbie
Rules
170×associate-*r*
127×distribute-lft-in
114×associate-*l*
92×distribute-rgt-in
79×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify6.0ms (0%)

Memory
8.6MiB live, 8.6MiB 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
20×lower-*.f64
17×lower-*.f32
16×lower-+.f64
16×lower-+.f32
12×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize47.0ms (0.4%)

Memory
13.1MiB live, 90.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11277486218587268
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.140625
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.33203125
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy14.726901179410609
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
35.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-log: 12.0ms (45.8% of total)
ival-mult: 6.0ms (22.9% of total)
ival-cos: 3.0ms (11.4% of total)
ival-sqrt: 2.0ms (7.6% of total)
ival-pi: 1.0ms (3.8% of total)
ival-sub: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series85.0ms (0.7%)

Memory
-42.4MiB live, 45.2MiB 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
34.0ms
u1
@0
(log (- 1 u1))
28.0ms
u2
@inf
(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms
u1
@inf
(log (- 1 u1))
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)))

simplify202.0ms (1.7%)

Memory
33.2MiB live, 303.8MiB allocated
Algorithm
egg-herbie
Rules
4 861×lower-fma.f64
4 861×lower-fma.f32
2 922×lower-*.f64
2 922×lower-*.f32
1 863×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 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1) (log.f32 u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1) #s(literal 1 binary32)) u1) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) u1)) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 u1)) (fma.f32 (*.f32 u1 u1) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/2 binary32) #s(literal -1/8 binary32)) (sqrt.f32 u1))))) u1 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (fma.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
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#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #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 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))

rewrite193.0ms (1.6%)

Memory
-12.7MiB live, 252.0MiB allocated
Rules
1 722×lower-*.f64
1 719×lower-*.f32
1 049×lower-fma.f64
1 049×lower-fma.f32
1 024×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
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.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)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 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 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (log1p.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 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 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) 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 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.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 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(-.f32 (log.f32 (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) u1)))) (log.f32 (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 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 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u1 u1) u1) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.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) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) u1)))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 (*.f32 (neg.f32 u1) u1) (*.f32 u1 u1))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 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 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1))) (log.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 u1 u1) u1) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u1)))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) u1))) (log.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) u1))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (*.f32 (neg.f32 u1) 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 (neg.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 (neg.f32 u1) u1)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
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(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) #s(literal 0 binary32))
(pow.f32 (/.f32 (log1p.f32 u1) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (*.f32 u1 u1))))) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1))))) (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1))))) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1))))) (log1p.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u1))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) u1)))) (log.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1))) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(+.f32 (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (neg.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(exp.f32 (log.f32 (neg.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) u2))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 u2 #s(literal 2 binary32))))
(*.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) #s(literal 1 binary32))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (PI.f32) (*.f32 #s(literal 1 binary32) (*.f32 u2 #s(literal 2 binary32))))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
(*.f32 (+.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))))
(/.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(cos.f32 (fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))

eval66.0ms (0.5%)

Memory
13.9MiB live, 110.9MiB allocated
Compiler

Compiled 7 659 to 1 423 computations (81.4% saved)

prune94.0ms (0.8%)

Memory
-19.6MiB live, 177.9MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New30223325
Fresh000
Picked011
Done000
Total30224326
Accuracy
99.7%
Counts
326 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.4%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.6%
(*.f32 (/.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)) #s(literal 0 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.6%
(*.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)))
87.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.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 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.0%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.0%
(*.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)))
79.5%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 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)))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
77.7%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.5%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.3%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.5%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 1 064 to 766 computations (28% saved)

simplify80.0ms (0.7%)

Memory
10.0MiB live, 87.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (log1p.f32 u1))
cost-diff0
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
cost-diff0
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff6240
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
cost-diff0
(log1p.f32 (fma.f32 u1 u1 u1))
cost-diff0
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff0
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff0
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
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)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
898×lower-fma.f64
895×lower-fma.f32
374×lower-*.f64
363×lower-*.f32
196×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047316
085305
1127293
2172293
3238293
4357293
5429293
6561293
7788293
81026293
91330293
101628293
111841293
121911293
131936293
141942293
01942293
Stop Event
iter limit
saturated
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(approx (cos (* (* 2 (PI)) u2)) #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
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(log1p.f32 (*.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 u1 u1) u1)
(*.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 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (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
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(log1p.f32 (*.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 u1 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize153.0ms (1.3%)

Memory
15.5MiB live, 333.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
accuracy1.085014741140749
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
accuracy0.21484375
(*.f32 (*.f32 u1 u1) u1)
accuracy0.28515625
(log1p.f32 (fma.f32 u1 u1 u1))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
accuracy0.3046875
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
accuracy1.9595961967078255
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy0.078125
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.140625
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy6.32422366683549
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy14.68651114033684
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.09441376953688402
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.140625
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
Samples
82.0ms250×0valid
7.0ms5exit
Compiler

Compiled 328 to 41 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 19.0ms (28.3% of total)
ival-sqrt: 9.0ms (13.4% of total)
ival-log1p: 8.0ms (11.9% of total)
ival-log: 6.0ms (8.9% of total)
const: 4.0ms (6% of total)
ival-cos: 4.0ms (6% of total)
ival-add: 4.0ms (6% of total)
ival-neg: 4.0ms (6% of total)
ival-exp: 3.0ms (4.5% of total)
adjust: 2.0ms (3% of total)
ival-sub: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (0.9%)

Memory
15.4MiB live, 205.3MiB allocated
Counts
25 → 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 (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)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<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 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (patch #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))) (patch (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (patch (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (patch (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (log1p.f32 u1)) (patch (log.f32 (log1p.f32 u1)) #<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 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())
Outputs
#s(alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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 (+ (* (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>) () ())) ())
#s(alt (+ (* -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))))) (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 (* (sqrt (log (- 1 u1))) (sqrt -1)) (taylor 0 u2) (#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 (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1))) (taylor 0 u2) (#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 (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)))))))) (taylor 0 u2) (#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 (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)))))))))) (taylor 0 u2) (#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 u1)))) (taylor inf u2) (#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 u1)))) (taylor inf u2) (#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 u1)))) (taylor inf u2) (#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 u1)))) (taylor inf u2) (#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 u1)))) (taylor -inf u2) (#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 u1)))) (taylor -inf u2) (#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 u1)))) (taylor -inf u2) (#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 u1)))) (taylor -inf u2) (#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1)))))))) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #<representation binary32>) () ())) ())
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#s(alt (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) (patch (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (pow u1 3) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
#s(alt (pow u1 3) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) u1) (patch (*.f32 (*.f32 u1 u1) u1) #<representation binary32>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
40.0ms
u2
@inf
(* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2)))
34.0ms
u2
@inf
(* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2)))
6.0ms
u2
@0
(* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
(* (log (log (+ 1 u1))) 1/2)
2.0ms
u1
@-inf
(* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2)))

simplify279.0ms (2.3%)

Memory
-12.9MiB live, 295.2MiB allocated
Algorithm
egg-herbie
Rules
4 535×lower-fma.f64
4 535×lower-fma.f32
3 592×lower-*.f64
3 592×lower-*.f32
1 920×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08069222
124647870
276367842
080657378
Stop Event
iter limit
node limit
Counts
348 → 342
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))))))))
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(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* 1/2 (log u1))
(+ (* -1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4)))
(+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4)))
(* 1/2 (log (* -1 (log (/ 1 u1)))))
(- (* 1/2 (log (* -1 (log (/ 1 u1))))) (* 1/2 (/ 1 (* u1 (log (/ 1 u1))))))
(- (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1)))))) (/ 1/2 (* u1 (log (/ 1 u1)))))
(- (+ (* 1/12 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1))))))) (/ 1/2 (* u1 (log (/ 1 u1)))))
(* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))
(log u1)
(+ (log u1) (* -1/2 u1))
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2)))
(+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 1/2)))
(log (* -1 (log (/ 1 u1))))
(- (log (* -1 (log (/ 1 u1)))) (/ 1 (* u1 (log (/ 1 u1)))))
(- (+ (log (* -1 (log (/ 1 u1)))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2)))) (/ 1 (* u1 (log (/ 1 u1)))))
(- (+ (log (* -1 (log (/ 1 u1)))) (+ (* 1/6 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))))) (/ 1 (* u1 (log (/ 1 u1)))))
(log (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) 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))))
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))))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (*.f32 #s(literal -1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 u1) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)))) u1 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))))) (*.f32 u1 u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 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 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (*.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (*.f32 (*.f32 u1 u1) u1))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #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 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) u1) (*.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #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 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) 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)))))
(-.f32 (*.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (fma.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal -1/2 binary32) #s(literal -1/4 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) u1))))) u1)) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (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))) (fma.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 2 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (log.f32 u1)))) (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/12 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 u1))) (*.f32 u1 u1)) #s(literal 1/4 binary32) (fma.f32 (log.f32 (log.f32 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 u1 (log.f32 u1)))))))
(* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f32 (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/2 binary32))
(+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f32 (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) u1)))
(+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))
(-.f32 (*.f32 (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/2 binary32)) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) u1))))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))
(-.f32 (*.f32 (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 #s(literal 2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 3 binary32)))) (/.f32 #s(literal 3 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32)))) u1) #s(literal 1/12 binary32) (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))))) u1)) u1))
(log u1)
(log.f32 u1)
(+ (log u1) (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 (log.f32 u1))
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2)))
(fma.f32 (fma.f32 #s(literal 5/24 binary32) u1 #s(literal -1/2 binary32)) u1 (log.f32 u1))
(+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 1/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal 5/24 binary32)) u1 #s(literal -1/2 binary32)) u1 (log.f32 u1))
(log (* -1 (log (/ 1 u1))))
(log.f32 (log.f32 u1))
(- (log (* -1 (log (/ 1 u1)))) (/ 1 (* u1 (log (/ 1 u1)))))
(-.f32 (log.f32 (log.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 (log.f32 u1)))))
(- (+ (log (* -1 (log (/ 1 u1)))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2)))) (/ 1 (* u1 (log (/ 1 u1)))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 u1))) (*.f32 u1 u1)) #s(literal 1/2 binary32) (-.f32 (log.f32 (log.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 (log.f32 u1))))))
(- (+ (log (* -1 (log (/ 1 u1)))) (+ (* 1/6 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))))) (/ 1 (* u1 (log (/ 1 u1)))))
(+.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 2 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (log.f32 u1)))) (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/6 binary32) (log.f32 (log.f32 u1))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 u1))) (*.f32 u1 u1)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (log.f32 u1))))))
(log (+ (log -1) (* -1 (log (/ -1 u1)))))
(log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) u1)) (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(-.f32 (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))))) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) u1))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(-.f32 (log.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 #s(literal 2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 3 binary32)))) (/.f32 #s(literal 3 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32)))) u1) #s(literal 1/6 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1))))))) u1)) u1))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
(* 2 (* u2 (PI)))
(*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #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 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #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 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #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 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #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 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32))))
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)
(pow u1 3)
(*.f32 (*.f32 u1 u1) u1)

rewrite210.0ms (1.7%)

Memory
19.2MiB live, 342.1MiB allocated
Rules
2 259×lower-fma.f64
2 256×lower-fma.f32
1 630×lower-/.f64
1 630×lower-/.f32
1 551×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047219
085182
1241180
21459166
09015166
Stop Event
iter limit
node limit
iter limit
Counts
25 → 491
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))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #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)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))
(log1p.f32 (fma.f32 u1 u1 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(log.f32 (log1p.f32 u1))
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (*.f32 u1 u1) u1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)))
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(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))) (+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) #s(literal 3 binary32))) (fma.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(*.f32 (pow.f32 (*.f32 u1 u1) #s(literal 3/4 binary32)) (pow.f32 (*.f32 u1 u1) #s(literal 3/4 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 (*.f32 u1 u1) u1))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (neg.f32 u1) u1) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u1 u1) u1))
(*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) u1))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(*.f32 u1 (*.f32 u1 u1))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 u1 u1)) u1 (*.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 u1) u1)))))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1)) (pow.f32 (fma.f32 u1 u1 #s(literal 0 binary32)) #s(literal 3 binary32)))
(/.f32 (*.f32 (*.f32 (*.f32 u1 u1) u1) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 u1 u1) u1))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 u1) u1))
(pow.f32 (exp.f32 (log.f32 (neg.f32 u1))) #s(literal 3 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (neg.f32 u1) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(pow.f32 u1 #s(literal 3 binary32))
(+.f32 #s(literal 0 binary32) (*.f32 (*.f32 u1 u1) u1))
(exp.f32 (*.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)))
(neg.f32 (*.f32 (*.f32 u1 u1) u1))

eval96.0ms (0.8%)

Memory
-16.7MiB live, 169.6MiB allocated
Compiler

Compiled 32 266 to 2 439 computations (92.4% saved)

prune262.0ms (2.2%)

Memory
7.1MiB live, 362.2MiB allocated
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New1 027311 058
Fresh10818
Picked235
Done011
Total1 039431 082
Accuracy
99.8%
Counts
1 082 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.5%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
80.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.5%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
53.5%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.9%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
89.5%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
94.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.2%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
92.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
83.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
75.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
89.3%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1)) (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
73.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.3%
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.2%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
86.9%
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -5/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (sqrt.f32 u1))))
72.0%
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
64.1%
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
Compiler

Compiled 1 838 to 1 264 computations (31.2% saved)

simplify328.0ms (2.7%)

Memory
35.4MiB live, 308.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f32 u1)
cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
cost-diff0
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff0
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
cost-diff0
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
#s(approx (log (- 1 u1)) (neg.f32 u1))
cost-diff0
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
cost-diff0
(log1p.f32 (fma.f32 u1 u1 u1))
cost-diff0
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Rules
12 663×lower-fma.f64
12 658×lower-fma.f32
1 916×lower-*.f64
1 900×lower-*.f32
996×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067475
0114475
1176461
2261461
3426461
4745461
5917461
61175461
71637461
82386461
93774461
104800461
115417461
125952461
136048461
146103461
156135461
166947461
177038461
08291450
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
(*.f32 u1 u1)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2)
(fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
#s(literal 2/3 binary32)
u2
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (PI.f32) (PI.f32))
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 (neg.f32 u1) u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 (neg.f32 u1) u1) u1))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 (neg.f32 u1) u1) u1)))
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))
(log1p.f32 (*.f32 (*.f32 (neg.f32 u1) u1) u1))
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
(*.f32 (*.f32 (neg.f32 u1) u1) u1)
(*.f32 u1 u1)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(neg.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2)
(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))) u2)
(fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2)
(*.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2)
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))
(*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
#s(literal 2/3 binary32)
u2
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize463.0ms (3.8%)

Memory
-37.2MiB live, 409.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.3125
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
accuracy0.9765625
(*.f32 (PI.f32) (PI.f32))
accuracy1.5478149421104985
(pow.f32 (PI.f32) #s(literal 4 binary32))
accuracy1.848552766182857
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
accuracy1.9595961967078255
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy0.15234375
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
accuracy6.437560695656804
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
accuracy0.078125
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
accuracy0.140625
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy6.32422366683549
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy7.262502508408578
#s(approx (log (- 1 u1)) (neg.f32 u1))
accuracy0.21484375
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
accuracy0.28515625
(log1p.f32 (fma.f32 u1 u1 u1))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
Samples
163.0ms250×0valid
11.0ms5exit
Compiler

Compiled 437 to 57 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 80.0ms (54.5% of total)
ival-log: 12.0ms (8.2% of total)
ival-log1p: 10.0ms (6.8% of total)
ival-sub: 8.0ms (5.4% of total)
ival-sqrt: 8.0ms (5.4% of total)
ival-add: 8.0ms (5.4% of total)
const: 7.0ms (4.8% of total)
adjust: 5.0ms (3.4% of total)
ival-cos: 3.0ms (2% of total)
ival-pow: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series125.0ms (1%)

Memory
-28.7MiB live, 128.5MiB allocated
Counts
27 → 348
Calls
Call 1
Inputs
#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (patch (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))) (patch (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 u1 u1 u1)) (patch (log1p.f32 (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (patch (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #<representation binary32>) () ())
#s(alt (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (patch (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (log (- 1 u1)) (neg.f32 u1)) (patch #s(approx (log (- 1 u1)) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (patch #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<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 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))) (patch (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (patch #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) (patch (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (patch (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #<representation binary32>) () ())
#s(alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (patch (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #<representation binary32>) () ())
#s(alt (log1p.f32 u1) (patch (log1p.f32 u1) #<representation binary32>) () ())
#s(alt (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 (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (PI.f32) #s(literal 4 binary32)) (patch (pow.f32 (PI.f32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (PI.f32)) (patch (*.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
Outputs
#s(alt (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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)))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1))))))))))) (taylor 0 u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))) (taylor inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (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 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))) (taylor 0 u2) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3))))))))) (taylor 0 u2) (#s(alt (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#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 u1 3)) (taylor 0 u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor 0 u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor 0 u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor 0 u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 3)) (taylor -inf u1) (#s(alt (*.f32 (*.f32 u1 u1) (neg.f32 u1)) (patch (*.f32 (*.f32 u1 u1) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#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 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))) (taylor 0 u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<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 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<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 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
25.0ms
u1
@inf
(* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2)))
18.0ms
u2
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2)))
15.0ms
u2
@inf
(* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@-inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2)))
1.0ms
u1
@inf
(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2)))

simplify239.0ms (2%)

Memory
30.2MiB live, 259.3MiB allocated
Algorithm
egg-herbie
Rules
4 961×lower-fma.f64
4 961×lower-fma.f32
3 470×lower-*.f64
3 470×lower-*.f32
1 989×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08319358
126347338
278907325
081246855
Stop Event
iter limit
node limit
Counts
348 → 341
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3))))))
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(+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))
(sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) 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 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))
(- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))
(- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))
u1
(* u1 (+ 1 (* -1/2 u1)))
(* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))
(* -1 (log (/ 1 u1)))
(+ (* -1 (log (/ 1 u1))) (/ 1 u1))
(- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))
(- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 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 u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
(* -1 (pow u1 3))
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
(+ 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
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal 1/4 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))) u1)) u1) u1 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))))) (/.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) u1) (*.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) u1) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32))))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1)))))))) (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32))))) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))) #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32))))) (*.f32 u1 u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))))) (/.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) u1) (*.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 #s(literal -1 binary32)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (+.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) u1)))) u1) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (neg.f32 (log.f32 (neg.f32 u1)))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (neg.f32 (log.f32 (neg.f32 u1))))) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) u1)))) u1) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1))))))) u1))
(sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3))))))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1)))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))))
(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))))))
(fma.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (* -1 (pow u1 3)))))))
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(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)) u1))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 u1)))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) u1))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* 2 (* u2 (PI)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
(* -1 (pow u1 3))
(*.f32 (neg.f32 u1) (*.f32 u1 u1))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #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 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2) #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 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))) (*.f32 u2 u2) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 u2 u2) #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 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2) #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 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 u2 u2) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))) (*.f32 u2 u2) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))

rewrite267.0ms (2.2%)

Memory
-4.2MiB live, 320.4MiB allocated
Rules
2 453×lower-fma.f64
2 448×lower-fma.f32
2 087×lower-*.f64
2 072×lower-*.f32
1 688×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067316
0114313
1352277
22395263
09895248
Stop Event
iter limit
node limit
iter limit
Counts
27 → 479
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1)))))
(-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))
(log1p.f32 (fma.f32 u1 u1 u1))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))))
(neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))
#s(approx (log (- 1 u1)) (neg.f32 u1))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
(PI.f32)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 u1 u1) (neg.f32 u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(*.f32 (PI.f32) (PI.f32))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(*.f32 (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))))
(*.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (neg.f32 (sqrt.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (neg.f32 (sqrt.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
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eval110.0ms (0.9%)

Memory
10.0MiB live, 250.5MiB allocated
Compiler

Compiled 33 058 to 3 246 computations (90.2% saved)

prune264.0ms (2.2%)

Memory
-27.1MiB live, 410.3MiB allocated
Pruning

54 alts after pruning (48 fresh and 6 done)

PrunedKeptTotal
New1 057221 079
Fresh82634
Picked325
Done044
Total1 068541 122
Accuracy
99.9%
Counts
1 122 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.5%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
65.6%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.7%
(*.f32 (sqrt.f32 (-.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (neg.f32 u1))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
80.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
53.5%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.9%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
94.6%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.3%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.2%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
77.3%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.2%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
83.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
75.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1)) (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
73.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.3%
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.4%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
77.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
77.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.2%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
65.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
4.2%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.0%
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1))))
80.1%
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))))
80.0%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
72.0%
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
64.1%
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
Compiler

Compiled 2 278 to 1 517 computations (33.4% saved)

simplify174.0ms (1.4%)

Memory
35.6MiB live, 188.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (log (log (+ 1 u1))) (log.f32 u1))
cost-diff0
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))
cost-diff0
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)))
cost-diff0
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff160
(+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1))
cost-diff416
(*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1)
cost-diff416
(*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))
cost-diff0
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
cost-diff0
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
cost-diff320
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
cost-diff0
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
cost-diff0
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
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 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
cost-diff64
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
cost-diff64
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))
Rules
4 672×lower-fma.f64
4 667×lower-fma.f32
2 169×lower-*.f64
2 146×lower-*.f32
640×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086698
0140684
1235649
2395633
3912617
42156604
53534604
65840604
77988604
08026581
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (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
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(cos.f32 (*.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
u2
(PI.f32)
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 u2 #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2)
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2)
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 2/3 binary32)
u2
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)))))
#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))
#s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)))
(*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))
(*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1)
(+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(literal 1/3 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
u1
(/.f32 #s(literal 1/2 binary32) u1)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))
#s(approx (log (log (+ 1 u1))) (log.f32 u1))
(log.f32 u1)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
(*.f32 (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 (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
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(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 u2 (PI.f32)))
(cos.f32 (*.f32 (PI.f32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
u2
(PI.f32)
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))
(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 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
(fma.f32 #s(literal -1/2 binary32) (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) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))
(*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32))
(cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 u2 #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) u2)
#s(literal 2 binary32)
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (*.f32 #s(literal 2/3 binary32) (PI.f32)) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/3 binary32)
u1
#s(literal 1/2 binary32)
#s(literal 1 binary32)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (*.f32 #s(literal 2/3 binary32) (PI.f32)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (*.f32 #s(literal 2/3 binary32) (PI.f32)) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2)
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) (fma.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (*.f32 #s(literal 2/3 binary32) (PI.f32)) #s(literal -2 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) (*.f32 #s(literal 2/3 binary32) (PI.f32)) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2)
(*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) u2)
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32))
(*.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 2/3 binary32)
u2
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32))
#s(literal -2 binary32)
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 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 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))))
#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))
#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)))
#s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)))
#s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))
(*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))
(fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1)
(fma.f32 #s(literal 1/3 binary32) u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/3 binary32))
#s(literal 1/3 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
u1
(/.f32 #s(literal 1/2 binary32) u1)
#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 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))
#s(approx (log (log (+ 1 u1))) (log.f32 u1))
(log.f32 u1)
u1
#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

localize314.0ms (2.6%)

Memory
-17.8MiB live, 408.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.7028409429147146
(PI.f32)
accuracy1.085014741140749
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)))
accuracy5.595059724571245
#s(approx (log (log (+ 1 u1))) (log.f32 u1))
accuracy0.32421875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.3873825195368841
(*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))
accuracy0.7028409429147146
(PI.f32)
accuracy1.9595961967078255
#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))
accuracy0.9765625
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
accuracy0.9765625
(*.f32 (PI.f32) (PI.f32))
accuracy1.848552766182857
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
accuracy1.9595961967078255
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy0
(sqrt.f32 u1)
accuracy0.15234375
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy6.32422366683549
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy6.437560695656804
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
accuracy0.32421875
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
accuracy0.32421875
(*.f32 u2 (PI.f32))
accuracy0.7028409429147146
(PI.f32)
accuracy18.932257013221584
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
Samples
109.0ms198×0valid
79.0ms52×1valid
11.0ms5exit
Compiler

Compiled 519 to 72 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-mult: 84.0ms (50.7% of total)
ival-add: 12.0ms (7.2% of total)
const: 9.0ms (5.4% of total)
adjust: 9.0ms (5.4% of total)
ival-cos: 9.0ms (5.4% of total)
ival-log1p: 9.0ms (5.4% of total)
ival-log: 9.0ms (5.4% of total)
ival-sqrt: 7.0ms (4.2% of total)
ival-neg: 5.0ms (3% of total)
ival-div: 4.0ms (2.4% of total)
ival-sub: 4.0ms (2.4% of total)
ival-exp: 3.0ms (1.8% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
38.7MiB live, 74.1MiB allocated
Counts
28 → 360
Calls
Call 1
Inputs
#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (patch (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))) (patch (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))) #<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 (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (patch (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (patch #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (patch (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))) (patch (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (patch (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (patch #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)) (patch (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (patch (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) #<representation binary32>) () ())
#s(alt (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) (patch (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) #<representation binary32>) () ())
#s(alt (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (patch (*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #<representation binary32>) () ())
#s(alt (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (patch (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) (patch (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (log (log (+ 1 u1))) (log.f32 u1)) (patch #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (*.f32 u2 (PI.f32)) (patch (*.f32 u2 (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) (patch (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) (patch #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (PI.f32)) (patch (*.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (patch (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)))) (patch #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1)))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())
Outputs
#s(alt (* -1 (* (pow u2 2) (pow (PI) 2))) (taylor 0 u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4))))) (taylor 0 u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))) (taylor 0 u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (* 1/315 (* (pow u2 2) (pow (PI) 8))))))))) (taylor 0 u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2) (taylor inf u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2) (taylor inf u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2) (taylor inf u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2) (taylor inf u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2) (taylor -inf u2) (#s(alt (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) (patch (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor inf u2) (#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #<representation binary32>) () ())) ())
#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>) () ())) ())
Calls

90 calls:

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

simplify289.0ms (2.4%)

Memory
-2.5MiB live, 403.3MiB allocated
Algorithm
egg-herbie
Rules
5 302×lower-fma.f64
5 302×lower-fma.f32
4 399×lower-*.f64
4 399×lower-*.f32
1 918×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08739317
126708036
084157553
Stop Event
iter limit
node limit
Counts
360 → 357
Calls
Call 1
Inputs
(* -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) (+ (* -2/45 (* (pow u2 2) (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) (+ (* -2/45 (pow (PI) 6)) (* 1/315 (* (pow u2 2) (pow (PI) 8)))))))))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* -1/6 (* (sqrt u1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))) (* -1/6 (* (sqrt (/ 1 u1)) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))))))
(* (* (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 (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)))
(* (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)))
(* (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)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 5/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1))))))) (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ 1 u1))) (* -3 (log (/ 1 u1)))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 5/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))) (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1)))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -2 (log (/ -1 u1))) (+ (log -1) (* -3 (log (/ -1 u1))))))))
(sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3)))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))))))
(+ (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (+ 1 (pow u1 3))))))
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(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (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)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 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))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))
(* 1/2 (log u1))
(+ (* -1/4 u1) (* 1/2 (log u1)))
(+ (* 1/2 (log u1)) (* u1 (- (* 5/48 u1) 1/4)))
(+ (* 1/2 (log u1)) (* u1 (- (* u1 (+ 5/48 (* -1/16 u1))) 1/4)))
(* 1/2 (log (* -1 (log (/ 1 u1)))))
(- (* 1/2 (log (* -1 (log (/ 1 u1))))) (* 1/2 (/ 1 (* u1 (log (/ 1 u1))))))
(- (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1)))))) (/ 1/2 (* u1 (log (/ 1 u1)))))
(- (+ (* 1/12 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (+ (* 1/4 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))) (* 1/2 (log (* -1 (log (/ 1 u1))))))) (/ 1/2 (* u1 (log (/ 1 u1)))))
(* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ (* -1 (/ (- (* 1/4 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/12 (/ (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1))) u1)) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* 1/2 (log (+ (log -1) (* -1 (log (/ -1 u1)))))))
(log u1)
(+ (log u1) (* -1/2 u1))
(+ (log u1) (* u1 (- (* 5/24 u1) 1/2)))
(+ (log u1) (* u1 (- (* u1 (+ 5/24 (* -1/8 u1))) 1/2)))
(log (* -1 (log (/ 1 u1))))
(- (log (* -1 (log (/ 1 u1)))) (/ 1 (* u1 (log (/ 1 u1)))))
(- (+ (log (* -1 (log (/ 1 u1)))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2)))) (/ 1 (* u1 (log (/ 1 u1)))))
(- (+ (log (* -1 (log (/ 1 u1)))) (+ (* 1/6 (/ (- (* 3 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 2 (/ 1 (log (/ 1 u1)))) (* 2 (/ 1 (pow (log (/ 1 u1)) 3))))) (pow u1 3))) (* 1/2 (/ (- (/ 1 (log (/ 1 u1))) (/ 1 (pow (log (/ 1 u1)) 2))) (pow u1 2))))) (/ 1 (* u1 (log (/ 1 u1)))))
(log (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (* u1 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* 1/2 (/ (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(+ (log (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) (* 1/6 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1))) u1)) (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))
(* 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)))
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))))
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)))
Outputs
(* -1 (* (pow u2 2) (pow (PI) 2)))
(*.f32 (*.f32 (neg.f32 (*.f32 u2 u2)) (PI.f32)) (PI.f32))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* 1/3 (* (pow u2 2) (pow (PI) 4)))))
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2/45 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (*.f32 u2 u2) (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 u2 u2))
(* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* 1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -2/45 (pow (PI) 6)) (* 1/315 (* (pow u2 2) (pow (PI) 8)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/315 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))) (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/3 binary32))) (*.f32 u2 u2) (*.f32 (neg.f32 (PI.f32)) (PI.f32))) (*.f32 u2 u2))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
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(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
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(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
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(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(- (* 1/2 (cos (* 2 (* u2 (PI))))) 1/2)
(fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(* (pow u2 2) (pow (PI) 2))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2)
(* (pow u2 2) (- (* -1/3 (* (pow u2 2) (pow (PI) 4))) (* -1 (pow (PI) 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 u2 u2)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))
(* (pow u2 2) (- (* (pow u2 2) (- (* 2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 2/45 binary32) u2) u2) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* -2/45 (pow (PI) 6)))) (* 1/3 (pow (PI) 4)))) (* -1 (pow (PI) 2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/315 binary32) (pow.f32 (PI.f32) #s(literal 8 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 2/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2) (*.f32 (PI.f32) (PI.f32))) (*.f32 u2 u2))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
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(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(- 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2)))
(*.f32 (neg.f32 (sqrt.f32 u1)) (-.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))
(*.f32 (-.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))) #s(literal 1/2 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal -1/4 binary32) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))) (* -1/6 (* (sqrt u1) (- (+ (* 1/2 (cos (* 2 (* u2 (PI))))) (pow (cos (* u2 (PI))) 2)) 1/2))))))
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(fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (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 (fma.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #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 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 u2 u2) #s(literal 1 binary32))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (*.f32 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(neg.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1)) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u1 u1) u1)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #s(literal 1 binary32)) (neg.f32 u1)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))

rewrite258.0ms (2.1%)

Memory
-3.6MiB live, 454.9MiB allocated
Rules
3 362×lower-*.f64
3 339×lower-*.f32
2 398×lower-fma.f64
2 393×lower-fma.f32
1 505×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086425
0140397
1443376
23158334
010448321
Stop Event
iter limit
node limit
iter limit
Counts
28 → 497
Calls
Call 1
Inputs
(neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
#s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))
(*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1)
(+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))
#s(approx (log (log (+ 1 u1))) (log.f32 u1))
(PI.f32)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Outputs
(*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 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 -1 binary32) (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #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)) #s(literal 1/4 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32)))) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #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)) #s(literal 1/4 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #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)) #s(literal 1/4 binary32))))
(-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)))
(+.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal -1 binary32)))
(+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(+.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(+.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32))))
(neg.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1 binary32))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (/.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 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #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)) #s(literal 1/4 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) #s(literal 2 binary32))
(/.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32)))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #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)) #s(literal 1/4 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 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 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))
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(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.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) #s(literal 1 binary32)) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.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 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (PI.f32) u2) (*.f32 (*.f32 (*.f32 (PI.f32) u2) (*.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 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) u2))
(fma.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) u2))
(fma.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) u2))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
(fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2))
(fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))
(+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))
(sqrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))
(pow.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))) #s(literal 3 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 10/3 binary32)))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
(pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 8 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 12 binary32))
(pow.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 4/3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 3 binary32) (log.f32 (PI.f32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 4 binary32)))
#s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u1)) #s(literal 1/3 binary32)) (*.f32 u1 u1)) u1)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.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) #s(literal 1 binary32)) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.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 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(*.f32 u2 (+.f32 (PI.f32) (PI.f32)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) #s(literal 0 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)) (*.f32 (PI.f32) u2) (*.f32 (*.f32 (*.f32 (PI.f32) u2) (*.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 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) u2))
(fma.f32 (*.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) u2))
(fma.f32 (*.f32 u2 #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) u2))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))
(fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2))
(fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))
(+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))

eval198.0ms (1.6%)

Memory
-15.2MiB live, 433.8MiB allocated
Compiler

Compiled 51 716 to 6 320 computations (87.8% saved)

prune327.0ms (2.7%)

Memory
-1.1MiB live, 566.0MiB allocated
Pruning

68 alts after pruning (61 fresh and 7 done)

PrunedKeptTotal
New1 358301 388
Fresh123143
Picked415
Done066
Total1 374681 442
Accuracy
99.9%
Counts
1 442 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
75.4%
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
86.7%
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
65.6%
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
73.7%
(*.f32 (sqrt.f32 (-.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (neg.f32 u1))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.0%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.1%
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.0%
(*.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)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (E.f32))))))))))
90.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 #s(approx (- 1/2 (* 1/2 (cos (* (* u2 2) (PI))))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2)))))
99.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
80.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
55.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.0%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
48.9%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
53.5%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
46.9%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
94.6%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.3%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.5%
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.3%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
87.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
73.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
89.1%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
77.2%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
92.8%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
83.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
83.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
87.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
75.9%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
84.2%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
73.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (fma.f32 u1 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u1)) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u1)) #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.5%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.4%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) u1)) #s(literal 1/9 binary32)) u1 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1/3 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1/3 binary32)) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
75.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.3%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 #s(approx (+ (+ 1/3 (/ 1 (* u1 u1))) (/ 1/2 u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u1 u1))) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
77.6%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 #s(approx (+ (+ 1/3 (/ 1 (* u1 u1))) (/ 1/2 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.7%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 #s(approx (* (+ (+ 1/3 (/ 1 (* u1 u1))) (/ 1/2 u1)) u1) (/.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
74.9%
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.3%
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
89.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
73.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.4%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
65.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
77.6%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
77.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
71.2%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
71.2%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
65.7%
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
3.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
4.2%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
92.0%
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1))))
80.1%
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1))))))
80.0%
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
64.1%
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
Compiler

Compiled 4 057 to 1 571 computations (61.3% saved)

regimes287.0ms (2.4%)

Memory
29.1MiB live, 458.6MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
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(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -5/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 #s(literal 2 binary32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (exp.f32 (*.f32 #s(approx (log (log (+ 1 u1))) (log.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (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)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (*.f32 (*.f32 u1 u1) (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 #s(approx (- 1/2 (* 1/2 (cos (* (* u2 2) (PI))))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) u2) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 (*.f32 u1 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 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) #s(approx (log (log (+ 1 u1))) (log.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 (neg.f32 u1))) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (-.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
(*.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) #s(approx (log (log (+ 1 u1))) (log.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.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)) #s(literal 0 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (*.f32 (PI.f32) (log.f32 (E.f32))))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (log.f32 (E.f32))))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 u2 u2)))))) #s(literal 1/4 binary32))) (neg.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))
(*.f32 (exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 1/2 binary32))) (log.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (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 (neg.f32 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (*.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) u1)) (log.f32 (*.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))))) (fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

33.0ms
u1
32.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
29.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
28.0ms
cosTheta_i
28.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
99.2%1cosTheta_i
99.2%1u1
99.2%1u2
99.2%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
99.2%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
99.2%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.2%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.2%1(-.f32 #s(literal 1 binary32) u1)
99.2%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes209.0ms (1.7%)

Memory
-10.4MiB live, 261.7MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1)))))) (fma.f32 (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 #s(approx (+ (+ 1/3 (/ 1 (* u1 u1))) (/ 1/2 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 #s(approx (* (+ (+ 1/3 (/ 1 (* u1 u1))) (/ 1/2 u1)) u1) (/.f32 (fma.f32 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 #s(approx (+ (+ 1/3 (/ 1 (* u1 u1))) (/ 1/2 u1)) (/.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u1 u1))) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u1)) #s(literal 1/3 binary32)) (*.f32 (*.f32 u1 u1) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (neg.f32 u1) (*.f32 u1 u1)) (-.f32 #s(literal -1/3 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (fma.f32 u1 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 u1 u1)) u1)) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (+.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u1))) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) #s(approx (* (+ (* (+ (* 1/3 u1) 1/2) u1) 1) u1) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1/9 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 u1 u1) u1) u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 #s(literal 1/2 binary32) u1)) u1) (*.f32 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32)) u1) (-.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1) (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

41.0ms
u2
35.0ms
cosTheta_i
19.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
18.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
17.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
94.6%1cosTheta_i
98.3%2u1
98.4%2u2
98.5%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)))
98.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.3%2(-.f32 #s(literal 1 binary32) u1)
98.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes111.0ms (0.9%)

Memory
4.2MiB live, 193.6MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

9 calls:

14.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
u2
14.0ms
u1
13.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
98.1%2u1
98.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.1%2(-.f32 #s(literal 1 binary32) u1)
98.1%2u2
98.1%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.1%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.2%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes177.0ms (1.5%)

Memory
-0.4MiB live, 208.3MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #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)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Calls

10 calls:

73.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
14.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
cosTheta_i
12.0ms
u2
11.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
89.5%1cosTheta_i
97.5%2u1
97.5%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.5%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.5%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.5%2(-.f32 #s(literal 1 binary32) u1)
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))
97.6%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes105.0ms (0.9%)

Memory
32.5MiB live, 184.2MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) (neg u1))))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

9 calls:

16.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
15.0ms
u1
12.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
u2
Results
AccuracySegmentsBranch
95.0%2u2
95.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
95.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
95.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.2%2(-.f32 #s(literal 1 binary32) u1)
95.2%2u1
95.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.4%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)))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes14.0ms (0.1%)

Memory
-15.6MiB live, 20.5MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

1 calls:

9.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
95.3%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes118.0ms (1%)

Memory
-9.1MiB live, 146.8MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

9 calls:

22.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
19.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
17.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
9.0ms
u1
Results
AccuracySegmentsBranch
92.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
92.9%2u2
92.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
89.1%1u1
89.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
89.1%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
89.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
89.1%1(-.f32 #s(literal 1 binary32) u1)
92.5%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)))
Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes114.0ms (0.9%)

Memory
5.9MiB live, 117.1MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) (PI.f32))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))))) u2) u2 #s(literal 1 binary32))))
#s(approx (* (exp (* (log (log (+ 1 u1))) 1/2)) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1))) (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(literal 1/4 binary32)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
Calls

7 calls:

33.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
28.0ms
u2
18.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms
cosTheta_i
9.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
89.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
89.1%1(-.f32 #s(literal 1 binary32) u1)
89.1%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)))
89.1%1cosTheta_i
89.1%1u2
89.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
89.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 54 to 46 computations (14.8% saved)

regimes89.0ms (0.7%)

Memory
2.0MiB live, 93.9MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
Calls

10 calls:

20.0ms
u1
15.0ms
u2
7.0ms
cosTheta_i
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
87.5%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
87.5%1u1
87.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.5%1cosTheta_i
87.5%1u2
87.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.5%1(-.f32 #s(literal 1 binary32) u1)
87.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes102.0ms (0.8%)

Memory
24.9MiB live, 102.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (PI.f32)) u2)) u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
Calls

10 calls:

42.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
8.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
7.0ms
cosTheta_i
7.0ms
u1
7.0ms
u2
Results
AccuracySegmentsBranch
87.4%1cosTheta_i
87.4%1u2
87.4%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)))
87.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
87.4%1u1
87.4%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.4%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.4%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.4%1(-.f32 #s(literal 1 binary32) u1)
87.4%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes99.0ms (0.8%)

Memory
-35.3MiB live, 82.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
Calls

10 calls:

32.0ms
cosTheta_i
11.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
u2
6.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
84.2%1cosTheta_i
87.4%2u1
87.4%2u2
87.4%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)))
87.4%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
87.4%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
87.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
87.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
87.4%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
87.4%2(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes77.0ms (0.6%)

Memory
17.9MiB live, 56.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1))) #s(approx (log (- 1 u1)) (neg.f32 u1))))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)) (*.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
Calls

10 calls:

28.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
cosTheta_i
6.0ms
u2
5.0ms
(-.f32 #s(literal 1 binary32) u1)
5.0ms
u1
Results
AccuracySegmentsBranch
83.9%1cosTheta_i
83.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
83.9%1u2
83.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
83.9%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)))
83.9%1u1
83.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
83.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
83.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
83.9%1(-.f32 #s(literal 1 binary32) u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes51.0ms (0.4%)

Memory
10.0MiB live, 48.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (*.f32 (*.f32 u1 u1) u1)) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)) #s(approx (log (- 1 u1)) (neg.f32 u1)))) (+.f32 #s(literal 0 binary32) #s(approx (log (- 1 u1)) (neg.f32 u1))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
Calls

10 calls:

10.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
cosTheta_i
5.0ms
u2
4.0ms
u1
Results
AccuracySegmentsBranch
81.1%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
81.1%2(-.f32 #s(literal 1 binary32) u1)
81.1%2u1
81.6%2u2
81.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
81.1%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
81.6%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
81.6%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
77.3%1cosTheta_i
81.5%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)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes57.0ms (0.5%)

Memory
-22.6MiB live, 17.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

4 calls:

45.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u2
4.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
81.5%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)))
81.5%2u2
81.5%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
81.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes80.0ms (0.7%)

Memory
1.1MiB live, 39.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
Outputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

48.0ms
cosTheta_i
4.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms
u2
3.0ms
u1
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
75.9%1cosTheta_i
79.7%2u1
79.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
79.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
79.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
79.7%2(-.f32 #s(literal 1 binary32) u1)
80.4%2u2
80.4%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
80.4%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
80.2%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes30.0ms (0.2%)

Memory
35.1MiB live, 35.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

3.0ms
cosTheta_i
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
u2
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
3.0ms
u1
Results
AccuracySegmentsBranch
75.9%1cosTheta_i
75.9%1u1
75.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
75.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
75.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
75.9%1(-.f32 #s(literal 1 binary32) u1)
75.9%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)))
75.9%1u2
75.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
75.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes80.0ms (0.7%)

Memory
-4.8MiB live, 33.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

55.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
3.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms
u1
3.0ms
(-.f32 #s(literal 1 binary32) u1)
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
73.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
73.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
73.6%1u1
73.6%1u2
73.6%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)))
73.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
73.6%1cosTheta_i
73.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
73.6%1(-.f32 #s(literal 1 binary32) u1)
73.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes30.0ms (0.2%)

Memory
-9.5MiB live, 29.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
Calls

10 calls:

9.0ms
(-.f32 #s(literal 1 binary32) u1)
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
u1
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
73.5%1u2
73.5%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
73.5%1cosTheta_i
73.5%1u1
73.5%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
73.5%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
73.5%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
73.5%1(-.f32 #s(literal 1 binary32) u1)
73.5%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
73.5%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes40.0ms (0.3%)

Memory
-5.4MiB live, 34.5MiB allocated
Accuracy

Total -19.9b remaining (-181.4%)

Threshold costs -19.9b (-181.4%)

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

10 calls:

22.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
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)))
Results
AccuracySegmentsBranch
65.7%1cosTheta_i
65.7%1u1
65.7%1u2
65.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
65.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
65.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
65.7%1(-.f32 #s(literal 1 binary32) u1)
65.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
65.7%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)))
65.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12230145931243896
0.15649521350860596
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
0.08336779475212097
0.09526737779378891
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.040043268352746964
0.04184228554368019
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04184228554368019
0.0498967245221138
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.04184228554368019
0.0498967245221138
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3401612937450409
0.36190909147262573
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9975134134292603
0.9976635575294495
Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0202331505715847
0.022879885509610176
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
0.0014403773238882422
0.0014648445649072528
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
0.9999985694885254
0.9999986886978149
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify33.0ms (0.3%)

Memory
-11.3MiB live, 27.7MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary32
sub-neg_binary32
+-commutative_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146994
1196994
2203994
3206994
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3019899/33554432 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5502927/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3019899/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 3019899/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 11744051/33554432 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))) (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))))
(if (<=.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 16736951/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) u2) u2 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 1476395/67108864 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))) (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 12455405/8589934592 binary32)) (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777193/16777216 binary32)) (*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (PI.f32)) (PI.f32) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 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 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 5033165/33554432 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) (*.f32 u1 u1) u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
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(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
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(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #s(approx (sqrt (- (log (+ 1 (+ (* u1 u1) u1))) (log (+ 1 (* (* u1 u1) u1))))) (sqrt.f32 u1)) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))

soundness1.9s (15.3%)

Memory
-27.0MiB live, 1 283.0MiB allocated
Rules
5 302×lower-fma.f64
5 302×lower-fma.f32
4 961×lower-fma.f64
4 961×lower-fma.f32
4 861×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02239
16539
232039
3235537
0864929
067316
0114313
1352277
22395263
09895248
08319358
126347338
278907325
081246855
08739317
126708036
084157553
03061849
19111570
229181447
371351410
083881352
086425
0140397
1443376
23158334
010448321
08069222
124647870
276367842
080657378
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 894 to 1 003 computations (47% saved)

preprocess133.0ms (1.1%)

Memory
33.3MiB live, 270.2MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 774 to 620 computations (65.1% saved)

end0.0ms (0%)

Memory
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